A Reaction-Diffusion-Advection Equation with a Free Boundary and Sign-Changing Coefficient

In this paper we investigate a reaction-diffusion-advection equation with a free boundary and sign-changing coefficient. The main objective is to understand the influence of the advection term on the long time behavior of the solutions. More precisely, we prove a spreading-vanishing dichotomy result...

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Veröffentlicht in:	Acta applicandae mathematicae 2016-06, Vol.143 (1), p.189-216
Hauptverfasser:	Zhou, Ling, Zhang, Shan, Liu, Zuhan
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Applications of Mathematics Applied mathematics Asymptotic properties Boundary value problems Calculus of Variations and Optimal Control Optimization Coefficients Computational Mathematics and Numerical Analysis Dichotomies Eigenvalues Free boundaries Infinity Mathematical analysis Mathematics Mathematics and Statistics Nonnative species Partial Differential Equations Population density Probability Theory and Stochastic Processes Spreading Studies
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