18-30 Moitri Sen, Vitaly Volpert, Vitali Vougalter

Existence of waves for a reaction-diffusion-dispersion system (146K, pdf) Mar 3, 18

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Abstract. Existence of travelling waves is studied for a bistable reaction-diffusion system of equations with linear integral terms (dispersion) and with some conditions on the nonlinearity. The proof is based on the Leray-Schauder method using the topological degree theory for Fredholm and proper operators with the zero index and a priori estimates of solutions in properly chosen weighted spaces.

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