Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation.
Karachalios, Nikos, Stavrakakis, Nikos, Xanthopoulos, Pavlos (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Convergence to the travelling wave solution for a nonlinear reaction-diffusion equation”
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We study the existence and some properties of travelling waves in partially degenerate reaction-diffusion systems. Such systems may for example describe intracellular calcium dynamics in the presence of immobile buffers. In order to prove the wave existence, we first consider the non degenerate case and then pass to the limit as some of the diffusion coefficient converge to zero. The passage to the limit is based on a priori estimates of solutions independent of the values of the diffusion...
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