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math.AP2023
Global Existence of solutions for systems of coupled reaction diffusion equations with nonlinearities of unlimited growth
Said Kouachi
In this work we prove global existence and uniform boundedness of solutions of 2X2 reaction-diffusion systems with control of mass structure and nonlinearities of unlimited growth.…
math.AP2022
Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign
Said Kouachi
This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when on…
math.AP2014★ 1 cited
Global existence for a strongly coupled reaction diffusion system
Said Kouachi, Kamuela E. Yong, Rana D. Parshad
In this work we use functional methods to prove the boundedness and global existence of solutions for a class of strongly coupled parabolic systems. We apply the results to deduce…