Project
Entropy analysis of cross-diffusion systems with Markov kinetics
Entropy-based solvability, dissipation, and numerical analysis for coupled diffusion-reaction systems beyond the classical maximum-principle regime.
The project studies multicomponent systems in which cross-diffusion and finite-state reaction structure interact in a way that is analytically rich but resistant to naive estimates.
It combines boundedness-by-entropy arguments, modified logarithmic Sobolev inequalities, weak-strong uniqueness techniques, and entropy-decay experiments for representative discrete schemes.
Research areas
Cross-diffusion, entropy, and Markov kinetics
Participants
Evgeny Yuryevich Shchetinin
Andrey Andreyevich Shevchuk
Related publications
On Global Solvability, Entropy Dissipation, and Numerical Analysis of Reaction-Diffusion Systems with Cross-Diffusion and Markov Kinetics