Uniform boundedness for reaction-diffusion systems with mass dissipation
Analysis of PDEs
2019-05-28 v1
Abstract
We study the global existence and uniform-in-time bounds of classical solutions in all dimensions to reaction-diffusion systems dissipating mass. By utilizing the duality method and the regularization of the heat operator, we show that if the diffusion coefficients are close to each other, or if the diffusion coefficients are large enough compared to initial data, then the local classical solution exists globally and is bounded uniformly in time. Applications of the results include the validity of the Global Attractor Conjecture for complex balanced reaction systems with large diffusion.
Cite
@article{arxiv.1905.10599,
title = {Uniform boundedness for reaction-diffusion systems with mass dissipation},
author = {Brian P. Cupps and Jeff Morgan and Bao Quoc Tang},
journal= {arXiv preprint arXiv:1905.10599},
year = {2019}
}