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Stochastic Partial Differential Equations - Publications

Explore the scholarly works of the "Stochastic Partial Differential Equations" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

inJournal
2024 Repository Open Access
L'ubomír Baňas, Benjamin Gess and Christian Vieth

Numerical approximation of singular-degenerate parabolic stochastic partial differential equations

In: IMA journal of numerical analysis, 44 (2024) 4, pp. 2090-2137

BibTex

 DOI: 10.1093/imanum/drad061 ArXiv: 2012.12150
inJournal
2024 Journal Open Access
Antonio Esposito, Rishabh S. Gvalani, André Schlichting and Markus Schmidtchen

On a novel gradient flow structure for the aggregation equation

In: Calculus of variations and partial differential equations, 63 (2024) 5, p. 126

BibTex

 DOI: 10.1007/s00526-024-02692-x ArXiv: 2112.08317
Preprint
2024 Repository Open Access
Benjamin J. Fehrman and Benjamin Gess

Conservative stochastic PDEs on the whole space

BibTex

 ArXiv: 2410.00254
inJournal
2024 Repository Open Access
Benjamin J. Fehrman and Benjamin Gess

Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise

In: Archive for rational mechanics and analysis, 248 (2024) 2, p. 20

BibTex

 DOI: 10.1007/s00205-024-01963-3 ArXiv: 2108.08858
inJournal
2024 Repository Open Access
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions and Panagiotis E. Souganidis

Long-time behavior of stochastic Hamilton-Jacobi equations

In: Journal of functional analysis, 286 (2024) 4, p. 110269

BibTex

 DOI: 10.1016/j.jfa.2023.110269 ArXiv: 2211.12099
Preprint
2024 Repository Open Access
Benjamin Gess and Vitalii Konarovskyi

A quantitative central limit theorem for the simple symmetric exclusion process

BibTex

 ArXiv: 2408.01238
Preprint
2024 Repository Open Access
Benjamin Gess, Zhengyan Wu and Rangrang Zhang

Higher order fluctuation expansions for nonlinear stochastic heat equations in singular limits

BibTex

 ArXiv: 2406.17892
Preprint
2024 Repository Open Access
Benjamin Gess, Kihoon Seong and Pavlos Tsatsoulis

Low temperature expansion for the Euclidean \(\Phi^4_2\)-measure

BibTex

 ArXiv: 2404.14539
inJournal
2024 Repository Open Access
Benjamin Gess and Pavlos Tsatsoulis

Lyapunov exponents and synchronisation by noise for systems of SPDEs

In: The annals of probability, 52 (2024) 5, pp. 1903-1953

BibTex

 DOI: 10.1214/24-AOP1690 ArXiv: 2207.09820
Preprint
2024 Repository Open Access
Benjamin Gess, Sebastian Kassing and Nimit Rana

Stochastic modified flows for Riemannian stochastic gradient descent

BibTex

 ArXiv: 2402.03467
inJournal
2024 Journal Open Access
Benjamin Gess, Sebastian Kassing and Vitalii Konarovskyi

Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent

In: Journal of machine learning research, 25 (2024) 30, pp. 1-27

BibTex

 ArXiv: 2302.07125 Link: www.jmlr.org
inJournal
2024 Repository Open Access
Benjamin Gess, Michael Röckner and Weina Wu

SVI solutions to stochastic nonlinear diffusion equations on general measure spaces

In: Journal of evolution equations, 24 (2024) 4, p. 94

BibTex

 DOI: 10.1007/s00028-024-01023-z ArXiv: 2402.01479
inJournal
2023 Journal Open Access
Sebastian Becker, Benjamin Gess, Arnulf Jentzen and Peter E. Kloeden

Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations

In: Stochastics and partial differential equations : analysis and computations, 11 (2023) 1, pp. 211-268

BibTex

 DOI: 10.1007/s40072-021-00226-6 ArXiv: 1711.02423
inJournal
2023 Repository Open Access
Alex Blumenthal, Michele Coti Zelati and Rishabh S. Gvalani

Exponential mixing for random dynamical systems and an example of Pierrehumbert

In: The annals of probability, 51 (2023) 4, pp. 1559-1601

BibTex

 DOI: 10.1214/23-AOP1627 ArXiv: 2204.13651
inJournal
2023 Journal Open Access
José Carrillo, Rishabh S. Gvalani and Jeremy Wu

An invariance principle for gradient flows in the space of probability measures

In: Journal of differential equations, 345 (2023), pp. 233-284

BibTex

 DOI: 10.1016/j.jde.2022.11.028 ArXiv: 2010.00424
Preprint
2023 Repository Open Access
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann and Max Sauerbrey

Solutions to the stochastic thin-film equation for initial values with non-full support

BibTex

 ArXiv: 2305.06017
inJournal
2023 Repository Open Access
Matias G. Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis and Scott A. Smith

Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions

In: Communications in mathematical physics, 401 (2023), pp. 275-323

BibTex

 DOI: 10.1007/s00220-023-04659-z ArXiv: 2112.06304
inJournal
2023 Journal Open Access
Joscha Diehl, Rosa Preiß, Michael Ruddy and Nikolas Tapia

The moving-frame method for iterated-integrals signature : orthogonal invariants

In: Foundations of computational mathematics, 23 (2023) 4, pp. 1273-1333

BibTex

 DOI: 10.1007/s10208-022-09569-5 ArXiv: 2012.05880
inJournal
2023 Journal Open Access
Benjamin J. Fehrman and Benjamin Gess

Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift

In: Inventiones mathematicae, 234 (2023) 2, pp. 573-636

BibTex

 DOI: 10.1007/s00222-023-01207-3 ArXiv: 1910.11860
Preprint
2023 Repository Open Access
Benjamin Gess and Daniel Heydecker

A rescaled zero-range process for the porous medium equation : hydrodynamic limit, large deviations and gradient flow

BibTex

 ArXiv: 2303.11289
Preprint
2023 Repository Open Access
Benjamin Gess and Sebastian Kassing

Convergence rates for momentum stochastic gradient descent with noise of machine learning type

BibTex

 ArXiv: 2302.03550
Preprint
2023 Repository Open Access
Benjamin Gess, Daniel Heydecker and Zhengyan Wu

Landau-Lifshitz-Navier-Stokes equations : large deviations and relationship to the energy equality

BibTex

 ArXiv: 2311.02223
Preprint
2023 Repository Open Access
Benjamin Gess and Jonas Sauer

Optimal regularity in time and space for nonlocal porous medium type equations

BibTex

 ArXiv: 2311.06225
inJournal
2023 Repository Open Access
Benjamin Gess, Rishabh S. Gvalani, Florian Kunick and Felix Otto

Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise

In: Mathematics of computation, 92 (2023), pp. 1931-1976

BibTex

 DOI: 10.1090/mcom/3830 ArXiv: 2109.06083
Preprint
2023 Repository Open Access
Rishabh S. Gvalani and Markus Tempelmayr

Stochastic estimates for the thin-film equation with thermal noise

BibTex

 ArXiv: 2309.15829
inJournal
2023 Journal Open Access
Marius Neuß

Ergodicity for singular-degenerate stochastic porous media equations

In: Journal of dynamics and differential equations, 35 (2023) 2, pp. 1561-1584

BibTex

 DOI: 10.1007/s10884-021-09961-9 ArXiv: 1909.05161
Preprint
2023 Repository Open Access
Michele Coti Zelati, Theodore D. Drivas and Rishabh S. Gvalani

Statistically self-similar mixing by Gaussian random fields

BibTex

 ArXiv: 2309.15744
inJournal
2022 Repository Open Access
Stefano Bruno, Benjamin Gess and Hendrik Weber

Optimal regularity in time and space for stochastic porous medium equations

In: The annals of probability, 50 (2022) 6, pp. 2288-2343

BibTex

 DOI: 10.1214/22-AOP1583 ArXiv: 2110.01637
inJournal
2022 Repository Open Access
Laura Colmenarejo, Joscha Diehl and Miruna-Stefana Sorea

A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula

In: European journal of combinatorics, 99 (2022), p. 103406

BibTex

 DOI: 10.1016/j.ejc.2021.103406 ArXiv: 2003.01574
Preprint
2022 Repository Open Access
Benjamin J. Fehrman, Benjamin Gess and Rishabh S. Gvalani

Ergodicity and random dynamical systems for conservative SPDEs

BibTex

 ArXiv: 2206.14789
inJournal
2022 Repository Open Access
Franco Flandoli, Benjamin Gess and Francesco Grotto

An example of intrinsic randomness in deterministic PDEs

In: Stochastics and dynamics, 22 (2022) 7, p. 2240023

BibTex

 DOI: 10.1142/s0219493722400238 ArXiv: 2012.04398
Preprint
2022 Repository Open Access
Benjamin Gess, Rishabh S. Gvalani and Vitalii Konarovskyi

Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent

BibTex

 ArXiv: 2207.05705
Preprint
2021 Repository Open Access
L'ubomír Baňas, Benjamin Gess and Marius Neuß

Stochastic partial differential equations arising in self-organized criticality

BibTex

 ArXiv: 2104.13336
inJournal
2021 Journal Open Access
Oleg Butkovsky, Konstantinos Dareiotis and Máté Gerencscér

Approximation of SDEs : a stochastic sewing approach

In: Probability theory and related fields, 181 (2021) 4, pp. 975-1034

BibTex

 DOI: 10.1007/s00440-021-01080-2 ArXiv: 1909.07961
inJournal
2021 Journal Open Access
José Carrillo and Rishabh S. Gvalani

Phase transitions for nonlinear nonlocal aggregation-diffusion equations

In: Communications in mathematical physics, 382 (2021) 1, pp. 485-545

BibTex

 DOI: 10.1007/s00220-021-03977-4 ArXiv: 1912.01965
inJournal
2021 Journal Open Access
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann and Günther Grün

Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise

In: Archive for rational mechanics and analysis, 242 (2021) 1, pp. 179-234

BibTex

 DOI: 10.1007/s00205-021-01682-z ArXiv: 2012.04356
inJournal
2021 Repository Open Access
Konstantinos Dareiotis, Máté Gerencscér and Benjamin Gess

Porous media equations with multiplicative space-time white noise

In: Annales de l'Institut Henri Poincaré / B, 57 (2021) 4, pp. 2354-2371

BibTex

 DOI: 10.1214/20-AIHP1139 ArXiv: 2002.12924
inJournal
2021 Journal Open Access
Matias G. Delgadino, Rishabh S. Gvalani and Grigorios A. Pavliotis

On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions

In: Archive for rational mechanics and analysis, 241 (2021) 1, pp. 91-148

BibTex

 DOI: 10.1007/s00205-021-01648-1 ArXiv: 2001.03920
inJournal
2021 Repository Open Access
Benjamin J. Fehrman and Benjamin Gess

Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise

In: Journal de mathématiques pures et appliquées, 148 (2021), pp. 221-266

BibTex

 DOI: 10.1016/j.matpur.2021.01.004 ArXiv: 1807.04230
inJournal
2021 Repository Open Access
Benjamin Gess

Optimal regularity for the porous medium equation

In: Journal of the European Mathematical Society, 23 (2021) 2, pp. 425-465

BibTex

 DOI: 10.4171/JEMS/1014 ArXiv: 1708.04408
Preprint
2021 Repository Open Access
Benjamin Gess and Ivan Yaroslavtsev

Stabilization by transport noise and enhanced dissipation in the Kraichnan model

BibTex

 ArXiv: 2104.03949
Preprint
2021 Repository Open Access
Florian Kunick and Pavlos Tsatsoulis

Gradient-type estimates for the dynamic \(\varphi^4_2\)-model

BibTex

 ArXiv: 2202.11036
Academic
2021 Repository Open Access
Marius Neuß

Stochastic partial differential equations arising in self-organized criticality

Dissertation, Universität Bielefeld, 2021

BibTex

 Link: doi.org
inJournal
2021 Repository Open Access
Marius Neuß

Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organised criticality

In: Stochastics and dynamics, 21 (2021) 5, p. 2150029

BibTex

 DOI: 10.1142/S0219493721500295 ArXiv: 2002.01220
inJournal
2021 Repository Open Access
Alexander Shaposhnikov

A note on Lusin-type approximation of Sobolev functions on Gaussian spaces

In: Journal of functional analysis, 280 (2021) 6, p. 108917

BibTex

 DOI: 10.1016/j.jfa.2020.108917 ArXiv: 1908.10183
inJournal
2021 Journal Open Access
Ivan Yaroslavtsev

On strongly orthogonal martingales in UMD Banach spaces

In: Probability and mathematical statistics, 41 (2021) 1, pp. 153-171

BibTex

 DOI: 10.37190/0208-4147.41.1.10 ArXiv: 1812.08049
inJournal
2020 Repository Open Access
Sebastian Becker, Benjamin Gess, Arnulf Jentzen and Peter E. Kloeden

Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations

In: BIT : numerical mathematics, 60 (2020) 4, pp. 1057-1073

BibTex

 DOI: 10.1007/s10543-020-00807-2 ArXiv: 1811.01725
inJournal
2020 Journal Open Access
Oleg Butkovsky and Michael Scheutzow

Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting

In: Communications in mathematical physics, 379 (2020) 3, pp. 1001-1034

BibTex

 DOI: 10.1007/s00220-020-03834-w ArXiv: 1907.03725
inJournal
2020 Repository Open Access
Konstantinos Dareiotis, Benjamin Gess and Pavlos Tsatsoulis

Ergodicity for stochastic porous media equations with multiplicative noise

In: SIAM journal on mathematical analysis, 52 (2020) 5, pp. 4524-4564

BibTex

 DOI: 10.1137/19M1278521 ArXiv: 1907.04605
inJournal
2020 Journal Open Access
Konstantinos Dareiotis and Benjamin Gess

Nonlinear diffusion equations with nonlinear gradient noise

In: Electronic journal of probability, 25 (2020), p. 35

BibTex

 DOI: 10.1214/20-EJP436 ArXiv: 1811.08356
inJournal
2020 Journal Open Access
Konstantinos Dareiotis and Máté Gerencscér

On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift

In: Electronic journal of probability, 25 (2020), p. 82

BibTex

 DOI: 10.1214/20-EJP479 ArXiv: 1812.04583
Preprint
2020 Repository Open Access
Joscha Diehl, Terry Lyons, Rosa Preiß and Jeremy Reizenstein

Areas of areas generate the shuffle algebra

BibTex

 ArXiv: 2002.02338
Preprint
2020 Repository Open Access
Nicolas Dirr, Benjamin J. Fehrman and Benjamin Gess

Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process

BibTex

 ArXiv: 2012.02126
inJournal
2020 Journal Open Access
Benjamin J. Fehrman, Benjamin Gess and Arnulf Jentzen

Convergence rates for the stochastic gradient descent method for non-convex objective functions

In: Journal of machine learning research, 21 (2020) 136, pp. 1-48

BibTex

 ArXiv: 1904.01517 Link: jmlr.csail.mit.edu
inJournal
2020 Repository Open Access
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions and Panagiotis E. Souganidis

Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

In: Probability theory and related fields, 176 (2020) 1/2, pp. 421-448

BibTex

 DOI: 10.1007/s00440-019-00921-5 ArXiv: 1805.08477
inJournal
2020 Repository Open Access
Benjamin Gess, Cheng Ouyang and Samy Tindel

Density bounds for solutions to differential equations driven by Gaussian rough paths

In: Journal of theoretical probability, 33 (2020) 2, pp. 611-648

BibTex

 DOI: 10.1007/s10959-019-00967-0 ArXiv: 1712.02740
inJournal
2020 Repository Open Access
Benjamin Gess, Jonas Sauer and Eitan Tadmor

Optimal regularity in time and space for the porous medium equation

In: Analysis and PDE, 13 (2020) 8, pp. 2441-2480

BibTex

 DOI: 10.2140/apde.2020.13.2441 ArXiv: 1902.08632
inJournal
2020 Repository Open Access
Benjamin Gess, Wei Liu and Andre Schenke

Random attractors for locally monotone stochastic partial differential equations

In: Journal of differential equations, 269 (2020) 4, pp. 3414-3455

BibTex

 DOI: 10.1016/j.jde.2020.03.002 ArXiv: 1908.03539
inJournal
2020 Repository Open Access
Benjamin Gess and Pavlos Tsatsoulis

Synchronization by noise for the stochastic quantization equation in dimensions \(2\) and \(3\)

In: Stochastics and dynamics, 20 (2020) 6, p. 240006

BibTex

 DOI: 10.1142/S0219493720400067 ArXiv: 1910.07769
inJournal
2020 Repository Open Access
Benjamin Gess and Manuel V. Gnann

The stochastic thin-film equation : existence of nonnegative martingale solutions

In: Stochastic processes and their applications, 130 (2020) 12, pp. 7260-7302

BibTex

 DOI: 10.1016/j.spa.2020.07.013 ArXiv: 1904.08951
inJournal
2020 Journal Open Access
Pavlos Tsatsoulis and Hendrik Weber

Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise

In: Probability theory and related fields, 177 (2020) 1/2, pp. 257-322

BibTex

 DOI: 10.1007/s00440-019-00945-x ArXiv: 1808.04171
inJournal
2020 Journal Open Access
Ivan Yaroslavtsev

Burkholder-Davis-Gundy inequalities in UMD Banach spaces

In: Communications in mathematical physics, 379 (2020) 2, pp. 417-459

BibTex

 DOI: 10.1007/s00220-020-03845-7 ArXiv: 1807.05573
inJournal
2020 Journal Open Access
Ivan Yaroslavtsev

Local characteristics and tangency of vector-valued martingales

In: Probability surveys, 17 (2020), pp. 545-676

BibTex

 DOI: 10.1214/19-PS337 ArXiv: 1907.11588
inJournal
2020 Journal Open Access
Ivan Yaroslavtsev

Why stochastics? And why in Banach spaces? - Epidemic example

In: Nieuw Archief voor Wiskunde, 21 (2020) 4, pp. 245-250

BibTex

 Link: www.nieuwarchief.nl
inJournal
2019 Journal Open Access
Carlos Améndola, Peter K. Friz and Bernd Sturmfels

Varieties of signature tensors

In: Forum of mathematics / Sigma, 7 (2019), e10

BibTex

 DOI: 10.1017/fms.2019.3 ArXiv: 1804.08325

MiS Preprint
inJournal
2019 Journal Open Access
Yvain Bruned, Ilya Chevyrev, Peter K. Friz and Rosa Preiß

A rough path perspective on renormalization

In: Journal of functional analysis, 277 (2019) 11, p. 108283

BibTex

 DOI: 10.1016/j.jfa.2019.108283 ArXiv: 1701.01152
inJournal
2019 Repository Open Access
Khalil Chouk and Benjamin Gess

Path-by-path regularization by noise for scalar conservation laws

In: Journal of functional analysis, 277 (2019) 5, pp. 1469-1498

BibTex

 DOI: 10.1016/j.jfa.2019.06.005 ArXiv: 1708.00823
inJournal
2019 Repository Open Access
Michele Coghi and Benjamin Gess

Stochastic nonlinear Fokker-Planck equations

In: Nonlinear analysis / A, 187 (2019), pp. 259-278

BibTex

 DOI: 10.1016/j.na.2019.05.003 ArXiv: 1904.07894
inJournal
2019 Journal Open Access
Antoine Dahlqvist, Joscha Diehl and Bruce Driver

The parabolic Anderson model on Riemann surfaces

In: Probability theory and related fields, 174 (2019) 1-2, pp. 369-444

BibTex

 DOI: 10.1007/s00440-018-0857-6 ArXiv: 1702.02965
inJournal
2019 Repository Open Access
Konstantinos Dareiotis and Erik Ekström

Density symmetries for a class of 2-D diffusions with applications to finance

In: Stochastic processes and their applications, 129 (2019) 2, pp. 452-472

BibTex

 DOI: 10.1016/j.spa.2018.03.007 ArXiv: 1706.06000
inJournal
2019 Repository Open Access
Konstantinos Dareiotis, Máté Gerencscér and Benjamin Gess

Entropy solutions for stochastic porous media equations

In: Journal of differential equations, 266 (2019) 6, pp. 3732-3763

BibTex

 DOI: 10.1016/j.jde.2018.09.012 ArXiv: 1803.06953
inJournal
2019 Journal Open Access
Konstantinos Dareiotis and Benjamin Gess

Supremum estimates for degenerate, quasilinear stochastic partial differential equations

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 3, pp. 1765-1796

BibTex

 DOI: 10.1214/18-AIHP934 ArXiv: 1712.06655
inJournal
2019 Journal Open Access
Joscha Diehl and Jeremy Reizenstein

Invariants of multidimensional time series based on their iterated-integral signature

In: Acta applicandae mathematicae, 164 (2019) 1, pp. 83-122

BibTex

 DOI: 10.1007/s10440-018-00227-z ArXiv: 1801.06104
inJournal
2019 Repository Open Access
Sjoerd Dirksen and Ivan Yaroslavtsev

\(L^q\)-valued Burkholder-Rosenthal inequalities and sharp estimates for stochastic integrals

In: Proceedings of the London Mathematical Society, 119 (2019) 6, pp. 1633-1693

BibTex

 DOI: 10.1112/plms.12277 ArXiv: 1707.00109
inJournal
2019 Journal Open Access
Benjamin J. Fehrman and Benjamin Gess

Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

In: Archive for rational mechanics and analysis, 233 (2019) 1, pp. 249-322

BibTex

 DOI: 10.1007/s00205-019-01357-w ArXiv: 1712.05775
inJournal
2019 Repository Open Access
Paul Gassiat and Benjamin Gess

Regularization by noise for stochastic Hamilton-Jacobi equations

In: Probability theory and related fields, 173 (2019) 3/4, pp. 1063-1098

BibTex

 DOI: 10.1007/s00440-018-0848-7 ArXiv: 1609.07074
inJournal
2019 Repository Open Access
Benjamin Gess and Xavier Lamy

Regularity of solutions to scalar conservation laws with a force

In: Annales de l'Institut Henri Poincaré / C, 36 (2019) 2, pp. 505-521

BibTex

 DOI: 10.1016/j.anihpc.2018.07.002 ArXiv: 1707.06866
inJournal
2019 Repository Open Access
Benjamin Gess and Scott A. Smith

Stochastic continuity equations with conservative noise

In: Journal de mathématiques pures et appliquées, 128 (2019), pp. 225-263

BibTex

 DOI: 10.1016/j.matpur.2019.02.002 ArXiv: 1710.04906
inJournal
2019 Repository Open Access
Vitalii Konarovskyi and Max von Renesse

Modified massive Arratia flow and Wasserstein diffusion

In: Communications on pure and applied mathematics, 72 (2019) 4, pp. 764-800

BibTex

 DOI: 10.1002/cpa.21758 ArXiv: 1504.00559
inJournal
2018 Repository Open Access
Matias G. Delgadino and Scott A. Smith

Hölder estimates for fractional parabolic equations with critical divergence free drifts

In: Annales de l'Institut Henri Poincaré / C, 35 (2018) 3, pp. 577-604

BibTex

 DOI: 10.1016/j.anihpc.2017.06.004 ArXiv: 1609.02691
inBook
2018
Benjamin Gess

Regularization and well-posedness by noise for ordinary and partial differential equations

In: Stochastic partial differential equations and related fields : in honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / Andreas Eberle... (eds.)
Cham : Springer, 2018. - pp. 43-67
(Springer proceedings in mathematics and statistics ; 229)

BibTex

 DOI: 10.1007/978-3-319-74929-7_3 Link: www.bgess.de
inJournal
2018 Repository Open Access
Benjamin Gess and Martina Hofmanová

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

In: The annals of probability, 46 (2018) 5, pp. 2495-2544

BibTex

 DOI: 10.1214/17-AOP1231 ArXiv: 1611.03600
inJournal
2018 Repository Open Access
Benjamin Gess and Mario Maurelli

Well-posedness by noise for scalar conservation laws

In: Communications in partial differential equations, 43 (2018) 12, pp. 1702-1736

BibTex

 DOI: 10.1080/03605302.2018.1535604 ArXiv: 1701.05393
inJournal
2018 Repository Open Access
Samuel Punshon-Smith and Scott A. Smith

On the Boltzmann equation with stochastic kinetic transport : global existence of renormalized Martingale solutions

In: Archive for rational mechanics and analysis, 229 (2018) 2, pp. 627-708

BibTex

 DOI: 10.1007/s00205-018-1225-5 ArXiv: 1606.07451
inJournal
2018 Journal Open Access
Scott A. Smith and Konstantina Trivisa

The stochastic Navier-Stokes equations for heat-conducting, compressible fluids : global existence of weak solutions

In: Journal of evolution equations, 18 (2018) 2, pp. 411-465

BibTex

 DOI: 10.1007/s00028-017-0407-1
inJournal
2017 Journal Open Access
Joscha Diehl and Jianfeng Zhang

Backward stochastic differential equations with Young drift

In: Probability, uncertainty and quantitative risk, 2 (2017), p. 5

BibTex

 DOI: 10.1186/s41546-017-0016-5 ArXiv: 1610.03719
inJournal
2017 Repository Open Access
Joscha Diehl, Massimiliano Gubinelli and Nicolas Perkowski

The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions

In: Communications in mathematical physics, 354 (2017) 2, pp. 549-589

BibTex

 DOI: 10.1007/s00220-017-2918-6 ArXiv: 1606.02331
inJournal
2017 Repository Open Access
Franco Flandoli, Benjamin Gess and Michael Scheutzow

Synchronization by noise

In: Probability theory and related fields, 168 (2017) 3/4, pp. 511-556

BibTex

 DOI: 10.1007/s00440-016-0716-2 ArXiv: 1411.1340
inJournal
2017 Journal Open Access
Franco Flandoli, Benjamin Gess and Michael Scheutzow

Synchronization by noise for order-preserving random dynamical systems

In: The annals of probability, 45 (2017) 2, pp. 1325-1350

BibTex

 DOI: 10.1214/16-AOP1088 ArXiv: 1503.08737
inJournal
2017 Repository Open Access
Benjamin Gess and Panagiotis E. Souganidis

Stochastic non-isotropic degenerate parabolic-hyperbolic equations

In: Stochastic processes and their applications, 127 (2017) 9, pp. 2961-3004

BibTex

 DOI: 10.1016/j.spa.2017.01.005 ArXiv: 1611.01303
inJournal
2017 Repository Open Access
Benjamin Gess and Michael Röckner

Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations

In: Transactions of the American Mathematical Society, 369 (2017) 5, pp. 3017-3045

BibTex

 DOI: 10.1090/tran/6981 ArXiv: 1405.5866
inJournal
2017 Repository Open Access
Vitalii Konarovskyi

A system of coalescing heavy diffusion particles on the real line

In: The annals of probability, 45 (2017) 5, pp. 3293-3335

BibTex

 DOI: 10.1214/16-AOP1137 ArXiv: 1408.0628
inJournal
2016 Repository Open Access
Benjamin Gess and Jonas M. Tölle

Ergodicity and local limits for stochastic local and nonlocal \(p\)-Laplace equations

In: SIAM journal on mathematical analysis, 48 (2016) 6, pp. 4094-4125

BibTex

 DOI: 10.1137/15M1049774 ArXiv: 1507.04545
inJournal
2016 Repository Open Access
Benjamin Gess, Benoît Perthame and Panagiotis E. Souganidis

Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes

In: SIAM journal on numerical analysis, 54 (2016) 4, pp. 2187-2209

BibTex

 DOI: 10.1137/15M1053670 ArXiv: 1512.06056
inJournal
2016 Repository Open Access
Benjamin Gess and Jonas M. Tölle

Stability of solutions to stochastic partial differential equations

In: Journal of differential equations, 260 (2016) 6, pp. 4973-5025

BibTex

 DOI: 10.1016/j.jde.2015.11.039 ArXiv: 1506.01230
inJournal
2015 Repository Open Access
Michael Cranston, Benjamin Gess and Michael Scheutzow

Weak synchronization for isotropic flows

In: Discrete and continuous dynamical systems / B, 21 (2015) 9, pp. 3003-3014

BibTex

 DOI: 10.3934/dcdsb.2016084 ArXiv: 1510.09096

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