Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
Analysis of PDEs
2021-08-03 v1
Abstract
We introduce a generalized concept of solutions for reaction-diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely controls the growth of cross-absorptive terms. The result covers nonlinear diffusion and does not rely on an entropy estimate.
Keywords
Cite
@article{arxiv.2108.00673,
title = {Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects},
author = {Johannes Lankeit and Michael Winkler},
journal= {arXiv preprint arXiv:2108.00673},
year = {2021}
}