Existence of global solutions for a system of reaction-diffusion equations with exponential nonlinearity.
Daddiouaissa, El Hachemi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Daddiouaissa, El Hachemi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kouachi, Said (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Melkemi, Lamine, Mokrane, Ahmed Zerrouk, Youkana, Amar (2007)
Journal of Applied Mathematics
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Kouachi, Said (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kouachi, Said (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liu, Wenjun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Salem, Abdelmalek (2007)
Journal of Applied Mathematics
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Wei-Ming Ni (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
Salah Badraoui (1999)
Applicationes Mathematicae
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We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
Zhang, Rui, Guo, Ling, Fu, Shengmao (2009)
Boundary Value Problems [electronic only]
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Aliziane, Tarik, Langlais, Michel (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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