Exponential stability of the traveling fronts for a viscous Fisher-KPP equation (Q2438881)
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| Language | Label | Description | Also known as |
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| English | Exponential stability of the traveling fronts for a viscous Fisher-KPP equation |
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Exponential stability of the traveling fronts for a viscous Fisher-KPP equation (English)
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7 March 2014
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This paper is concerned with the traveling wave solutions of a viscous Fisher-KPP equation. Combining the geometric singular perturbation method with the classical results of Fisher-KPP equation, the existence of traveling wave solutions as well as the asymptotic behavior of traveling wave solutions are established for small \(\varepsilon >0\) and \(c<-2 \sqrt{f'(0)}\). Then the exponential stability of traveling wave solutions is studied by Evans functions, spectral analysis.
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singular perturbation method
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spectral analysis
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Evans function
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