2 papers
math.AP2026
Equilibration versus Localization in a Diffusion-Relaxation System
Aseel AlNajjar, Hoyoun Kim, Athanasios Tzavaras
We consider a diffusion-relaxation system and investigate the conditions on parameters leading to equilibration versus localization. When the diffusion is dominant, solutions conve…
math.AP2024
Renormalized solutions for the Maxwell--Stefan system with an application to uniqueness of weak solutions
Stefanos Georgiadis, Hoyoun Kim, Athanasios E. Tzavaras
We give conditions that guarantee uniqueness of renormalized solutions for the Maxwell-Stefan system. The proof is based on an identity for the evolution of the symmetrized relativ…