Quasilinear reaction diffusion systems with mass dissipation

Abstract

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.

Keywords

• quasilinear reaction diffusion system
• total mass dissipation
• global in time classical solution
• shigesada-kawasaki-teramoto model