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arXiv · 2302.02144

Global existence for reaction diffusion systems with strict balance Law and nonlinearities with non constant-sign and unlimited polynomial growth

Said Kouachi
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Abstract

The purpose of this paper is to prove global existence of solutions for general systems of reaction diffusion equations with nonlinearities for which only two main proprieties hold: Quasi-Positivity and balance law but with two difficulties: they change sign and with unlimited polynomial growth. We overcome the first difficulty by fixing the reaction sign after some time and the second one by using a judicious polynomial Lyapunov functional.

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Said Kouachi. 2023-02-04. Global existence for reaction diffusion systems with strict balance Law and nonlinearities with non constant-sign and unlimited polynomial growth. https://arxiv.org/abs/2302.02144

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