Travelling wave profiles in some models with nonlinear diffusion

We study some properties of the monotone solutions of the boundary value problem(P(u′))′-cu′+f(u)=0,u(-∞)=0,u(+∞)=1,where f is a continuous function, positive in (0,1) and taking the value zero at 0 and 1, and P may be an increasing homeomorphism of [0,1) or [0,+∞) onto [0,+∞). This problem arises w...

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Veröffentlicht in:	Applied mathematics and computation 2014-05, Vol.235, p.469-481
Hauptverfasser:	Coelho, Isabel, Sanchez, Luís
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Critical speed Diffusion Exact solutions FKPP equation Heteroclinic Intervals Mathematical analysis Mathematical models Operators p-Laplacian Relativistic curvature Traveling waves Travelling wave
Online-Zugang:	Volltext
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