Geodesic
Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1.

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The aim of this study is to construct invariant regions in which we can establish global existence of classical solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinear reaction term has been supposed to be of exponential growth.
Publié le :
DOI : 10.30755/NSJOM.05389
Classification : 35K45, 35K57
Keywords: Reaction diffusion systems, invariant regions, Lyapunov functionals, global existence 
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     author = {Sa{\"\i}d Benachour and Belgacem Rebiai},
     title = {Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth},
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     year = {2018},
     doi = {10.30755/NSJOM.05389},
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Saïd Benachour; Belgacem Rebiai. Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1. doi : 10.30755/NSJOM.05389. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05389/

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