Global existence of weak solutions and localization limit established for nonlocal cross-diffusion system with nonlinear density-pressure relation via Tsallis entropy and approximation schemes.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Global weak solutions exist for arbitrary bounded non-negative initial data in a 1D cross-diffusion system without self-diffusion and with different mobilities on the torus.
citing papers explorer
-
A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
Global existence of weak solutions and localization limit established for nonlocal cross-diffusion system with nonlinear density-pressure relation via Tsallis entropy and approximation schemes.
-
Global existence for a system without self-diffusion and different mobilities
Global weak solutions exist for arbitrary bounded non-negative initial data in a 1D cross-diffusion system without self-diffusion and with different mobilities on the torus.