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Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations - MaRDI portal

Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations (Q2445501)

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Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations
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    Multidimensional stability of traveling fronts in monostable reaction-diffusion equations with complex perturbations (English)
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    14 April 2014
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    The works considers the stability of traveling wave solutions for the monospecies reaction-diffusion system \(\partial_t u=\Delta u +uF(|u|)\) in the case of small complex perturbations of initial value. There are presented general conditions for the function \( F(|u|)\), under which the desired plane fronts are stable.
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    traveling fronts
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    reaction-diffusion equations
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