Pattern formation, energy landscapes, and scaling laws
Head:
Felix Otto
Contact: Email
Phone:
+49 (0) 341 - 9959 - 950
Secretary:
Katja Heid (née Bieling)
Contact: Email
Phone:
+49 (0) 341 - 9959 - 951
Fax:
+49 (0) 341 - 9959 - 585
Address:
Inselstr. 22
04103 Leipzig
Porous media flow, fingering
- Govind Menon and Felix Otto.
Diffusive slowdown in miscible viscous fingering.
Commun. Math. Sci., 4(1):267-273, 2006. - G. Menon and F. Otto.
Dynamic scaling in miscible viscous fingering.
Comm. Math. Phys., 257(2):303-317, 2005
download (PS, 1271 kbyte) - Felix Otto.
Evolution of microstructure: an example.
In Ergodic theory, analysis, and efficient simulation of dynamical systems, pages 501-522. Springer, Berlin, 2001.
download (PS, 358 kbyte) - P. Knabner and F. Otto.
Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: uniqueness of weak solutions.
Nonlinear Anal., 42(3, Ser. A: Theory Methods):381-403, 2000.
download (PS, 541 kbyte) - Felix Otto.
Evolution of microstructure in unstable porous media flow: a relaxational approach.
Comm. Pure Appl. Math., 52(7):873-915, 1999.
download (PS, 674 kbyte) - Felix Otto.
Viscous fingering: an optimal bound on the growth rate of the mixing zone.
SIAM J. Appl. Math., 57(4):982-990, 1997.
download (PS, 416 kbyte)
Publications
- Micromagnetics
- Superconductors
- Shape Memory Alloys
- Crystal growth
- Logarithmic Sobolev Inequality
- Homogenization
- Fluid dynamics
- Coarsening, Ostwald ripening
- Rheology
- Viscous thin films
- Porous media flow, fingering
- Gradient flow and Wasserstein distance
- Entropy solutions
- Boundary values for scalar conservation laws
- L1-contraction
