Open AccessQuasilinear reaction diffusion systems with mass dissipation
Author(s) -
Evangelos Latos,
Takashi Suzuki
Publication year - 2021
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2022042
Subject(s) - dissipation , diffusion , dimension (graph theory) , reaction–diffusion system , space (punctuation) , nonlinear system , reaction rate , mathematics , mathematical analysis , physics , thermodynamics , chemistry , computer science , pure mathematics , quantum mechanics , catalysis , operating system , biochemistry
We study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of reaction, and space dimension.