Journal
APPLIED MATHEMATICS LETTERS
Volume 124, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107699
Keywords
Reaction-diffusion; Cross-diffusion; Global boundedness
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This paper investigates a class of reaction-diffusion systems with cross diffusion, establishing the global existence and asymptotic behavior of solutions in a two-dimensional bounded domain with Neumann boundary conditions by imposing suitable structure assumptions. These systems have various applications such as autocatalytic chemical reaction, predator-prey interactions, combustion, etc.
This paper is concerned with a class of reaction-diffusion systems with cross diffusion which have various applications such as autocatalytic chemical reaction, predator-prey interactions, combustion and so on. By imposing some suitable structure assumptions, we establish the global existence and asymptotic behavior of solutions of the system in a two-dimensional bounded domain with Neumann boundary conditions. (c) 2021 Elsevier Ltd. All rights reserved.
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