Global Existence of solutions for systems of coupled reaction diffusion equations with nonlinearities of unlimited growth

In this work we prove global existence and uniform boundedness of solutions of 2 × 2 reaction-diffusion systems with control of mass structure and nonlinearities of unlimited growth. Furthermore the results are obtained without restrictions on diffusion terms neither on the initial data. Such systems possess many applications in physical-chemistry. Our tech-nique of proof relies on a judiciously rectified Lyapunov functional used previously by the author in several papers

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