Research Group
Applied Analysis - Publications
Explore the scholarly works of the "Applied Analysis" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints. The names of the authors who worked on the publication during their time at the institute are shown in bold.
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Publications of László Székelyhidi
inJournal
2026
Journal Open Access
A characteristic mapping method with source terms : applications to ideal magnetohydrodynamics
In: Journal of computational physics, 555 (2026), p. 114766inJournal
2026
Repository Open Access
A variational view on constitutive laws in parabolic problems
In: Advances in calculus of variations, (2026)inJournal
2026
Repository Open Access
Theory of shifts, shocks, and the intimate connections to \(L^2\)-type A posteriori error analysis of numerical schemes for hyperbolic problems
In: Mathematics of computation, 95 (2026), pp. 147-225inJournal
2026
Repository Open Access
Unique continuation for differential inclusions
In: Annales de l'Institut Henri Poincaré / C, 43 (2026) 1, pp. 127-154inJournal
2025
Journal Open Access
\(\mathscr{A}\)-free truncation and higher integrability of minimisers
In: Calculus of variations and partial differential equations, 64 (2025) 1, p. 30inJournal
2025
Repository Open Access
A proof of Vishik's nonuniqueness theorem for the forced 2D Euler equation
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 2025 (2025) 824, pp. 253-288inJournal
2025
Repository Open Access
A variational approach to the non-newtonian Navier-Stokes equations
In: Advances in calculus of variations, 18 (2025) 3, pp. 843-895inJournal
2025
Journal Open Access
An alternative approach to solenoidal Lipschitz truncation
In: Proceedings of the Royal Society of Edinburgh / A, 155 (2025) 6, pp. 2296-2320inJournal
2025
Journal Open Access
An alternative approach to the discrete Shnirelman's inequality
In: Nonlinearity, 38 (2025) 3, p. 035017inJournal
2025
Journal Open Access
An example of a weakly mixing \(\textrm{BV}\) vector field which is not strongly mixing
In: Journal of evolution equations, 25 (2025) 2, p. 34inJournal
2025
Coexistence of two equilibrium configurations in two-dimensional turbulence
In: Physical review fluids, 10 (2025) 3, p. 034604inJournal
2025
Repository Open Access
Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise
In: Communications in mathematical physics, 406 (2025) 5, p. 109inJournal
2025
Journal Open Access
Dissipative Euler flows originating from circular vortex filaments
In: Annals of PDE, 11 (2025) 2, p. 24Preprint
2025
Repository Open Access
Fine dissipative properties of Euler solutions with measure first derivatives
Preprint
2025
Repository Open Access
Fundamental solution and Harnack inequality for subelliptic evolution operators on Carnot groups
Academic
2025
Repository Open Access
Geometric analysis and convex integration
Dissertation, Universität Leipzig, 2025inJournal
2025
Journal Open Access
Geometric interpretation of the vanishing Lie Bracket for two-dimensional rough vector fields
In: Journal of functional analysis, 289 (2025) 1, p. 110919Academic
2025
Repository Open Access
Intermittent convex integration for partial differential equations describing fluid flows
Dissertation, Universität Leipzig, 2025Preprint
2025
Repository Open Access
Marstrand's density theorem for arbitrary norms in the plane
inJournal
2025
Repository Open Access
Non-classical solutions of the \(p\)-Laplace equation
In: Journal of the European Mathematical Society, 27 (2025) 12, pp. 4845-4890Preprint
2025
Repository Open Access
Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
inJournal
2025
Journal Open Access
Non-uniqueness and inadmissibility of the vanishing viscosity limit of the passive scalar transport equation
In: Journal de mathématiques pures et appliquées, 198 (2025), p. 103685inJournal
2025
Repository Open Access
On the isometric version of Whitney's strong embedding theorem
In: Advances in mathematics, 460 (2025), p. 110040inJournal
2025
Journal Open Access
Scale invariant bounds for the Kelvin-Helmholtz instability
In: Nonlinearity, 38 (2025) 9, p. 095018inJournal
2025
Journal Open Access
Scattering for Schrödinger operators with conical decay
In: Journal of functional analysis, 288 (2025) 7, p. 110831Preprint
2025
Repository Open Access
Self-consistent equations and quantum diffusion for the Anderson model
inJournal
2025
Repository Open Access
The double and triple bubble problem for stationary varifolds : the convex case
In: Transactions of the American Mathematical Society, 378 (2025) 5, pp. 3393-3444Preprint
2025
Repository Open Access
The square sticky disk : crystallization and Gamma-convergence to the octagonal anisotropic perimeter
inJournal
2025
Repository Open Access
Transport of currents and geometric Rademacher-type theorems
In: Transactions of the American Mathematical Society, 378 (2025), pp. 4011-4075Preprint
2025
Repository Open Access
Unraveling self-similar energy transfer dynamics : a case study for 1D Burgers system
(Physical review fluids)Preprint
2025
Repository Open Access
Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation
Preprint
2025
Repository Open Access
Well-posedness of the transport of normal currents by time-dependent vector fields
inJournal
2024
Repository Open Access
\(T_5\) configurations and hyperbolic systems
In: Communications in contemporary mathematics, 26 (2024) 3, p. 2250081inBook
2024
Repository Open Access
A crystallization result in two dimensions for a soft disc affine potential
In: Anisotropic isoperimetric problems and related topicsSingapore : Springer, 2024. - pp. 201-212
(Springer INdAM series ; 62)
inJournal
2024
Journal Open Access
A sufficient and necessary condition for \(\mathcal {A}\)-quasiaffinity
In: Rendiconti del Circolo Matematico di Palermo, 73 (2024) 2, pp. 527-579inBook
2024
Approach to equilibrium for the Kac model
In: From particle systems to partial differential equations : PSPDE X, Braga, Portugal, June 2022 / Eric Carlen (ed.)Cham : Springer, 2024. - pp. 187-211
inJournal
2024
Repository Open Access
Elliptic equations with a singular drift from a weak Morrey space
In: Communications on pure and applied analysis, 23 (2024) 8, pp. 1116-1139inJournal
2024
Repository Open Access
Existence and uniqueness for the transport of currents by Lipschitz vector fields
In: Journal of functional analysis, 286 (2024) 7, p. 110315Preprint
2024
Repository Open Access
Extensions of divergence-free fields in \(\mathrm{L}^{1}\)based function spaces
Preprint
2024
Repository Open Access
Finite time BV blowup for Liu-admissible solutions to \(p\)-system via computer-assisted proof
inJournal
2024
Repository Open Access
Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator
In: Journal of evolution equations, 24 (2024) 4, p. 93inJournal
2024
Journal Open Access
Harnack inequality and maximum principle for degenerate Kolmogorov operators in divergence form
In: Journal of mathematical analysis and applications, 538 (2024) 2, p. 128371inJournal
2024
Journal Open Access
Natural annihilators and operators of constant rank over \(C\)
In: Rendiconti lincei : matematica e applicazioni, serie 9, 35 (2024) 2, pp. 155-173inBook
2024
Repository Open Access
New perspectives on recent trends for Kolmogorov operators
In: Kolmogorov operators and their applications : conference proceedings / Stéphan Menozzi... (eds.)Singapore : Springer, 2024. - pp. 57-92
(Springer INdAM series)
inJournal
2024
Journal Open Access
Non-uniqueness of admissible solutions for the 2D Euler equation with \(L^p\) vortex data
In: Communications in mathematical physics, 405 (2024) 9, p. 207inJournal
2024
Repository Open Access
Nonexistence of \(T_4\) configurations for hyperbolic systems and the Liu entropy condition
In: Advances in mathematics, 454 (2024), p. 109856Preprint
2024
Repository Open Access
On incompressible flows in discrete networks and Shnirelman's inequality
inJournal
2024
Repository Open Access
On singular strictly convex solutions to the Monge-Ampère equation
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (2024)Preprint
2024
Repository Open Access
On the \(L_1\)-stability for parabolic equations with a supercritical drift term
inJournal
2024
Journal Open Access
On the complex constant rank condition and inequalities for differential operators
In: Nonlinear analysis / A, 239 (2024), p. 113435Preprint
2024
Repository Open Access
On the existence and uniqueness of weak solutions to elliptic equations with a singular drift
inJournal
2024
Journal Open Access
On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients
In: Annali di matematica pura ed applicata, 203 (2024) 5, pp. 1979-1995Preprint
2024
Repository Open Access
Partial regularity and higher integrability for A-quasiconvex variational problems
inJournal
2024
Repository Open Access
Regularity and compactness for critical points of degenerate polyconvex energies
In: Archive for rational mechanics and analysis, 248 (2024) 6, p. 107inJournal
2024
Repository Open Access
Representation of the total variation as a \(\Gamma\)-limit of \(BMO\)-type seminorms
In: Indiana University mathematics journal, 73 (2024) 1, pp. 341-365inJournal
2024
Repository Open Access
Rigidity of Euclidean product structure: breakdown for low Sobolev exponents
In: Communications on pure and applied analysis, 23 (2024) 10, pp. 1569-1607inJournal
2023
Journal Open Access
A data-driven approach to viscous fluid mechanics : the stationary case
In: Archive for rational mechanics and analysis, 247 (2023) 2, p. 30Preprint
2023
Repository Open Access
Anomalous dissipation and Euler flows
inJournal
2023
Repository Open Access
Critical points of degenerate polyconvex energies
In: SIAM journal on mathematical analysis, 55 (2023) 4, pp. 3205-3225inJournal
2023
Journal Open Access
Fine properties of symmetric and positive matrix fields with bounded divergence
In: Advances in mathematics, 427 (2023), p. 109130inJournal
2023
Repository Open Access
Improved regularity of second derivatives for subharmonic functions
In: Proceedings of the American Mathematical Society, 151 (2023) 12, pp. 5283-5297inJournal
2023
Journal Open Access
Making waves
In: La matematica, 2 (2023) 3, pp. 593-615inJournal
2023
Repository Open Access
On symmetric div-quasiconvex hulls and divsym-free \(L^\infty\)-truncations
In: Annales de l'Institut Henri Poincaré / C, 40 (2023) 6, pp. 1267-1317Preprint
2023
Repository Open Access
On the Lawson-Osserman conjecture
inJournal
2023
Journal Open Access
Regularity results for Kolmogorov equations based on a blow-up argument
In: Bruno Pini mathematical analysis seminar, 14 (2023) 2, pp. 139-162inJournal
2023
Repository Open Access
Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \({\mathbb{R}}^n\)
In: Journal of mathematical analysis and applications, 526 (2023) 1, p. 127297inJournal
2023
Repository Open Access
Sharp \(\alpha\)-contraction estimates for small extremal shocks
In: Journal of hyperbolic differential equations, 20 (2023) 3, pp. 541-602inJournal
2023
Journal Open Access
The four-state problem and convex integration for linear differential operators
In: Journal of functional analysis, 284 (2023) 4, p. 109785inJournal
2022
Journal Open Access
A note on a rigidity estimate for degree \(\pm 1\) conformal maps on \(\mathbb{S}^2\)
In: The bulletin of the London Mathematical Society, 54 (2022) 1, pp. 256-263inJournal
2022
Repository Open Access
Regularity for graphs with bounded anisotropic mean curvature
In: Inventiones mathematicae, 230 (2022) 2, pp. 463-507inJournal
2022
Journal Open Access
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws
In: Archive for rational mechanics and analysis, 246 (2022) 1, pp. 299-332Open Access Types
Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)
Repository Open Access
• Publications on a preprint server or on a free repository (green open access)