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A short proof of the logarithmic Bramson correction in Fisher-KPP equations
logarithmic Bramson correction Fisher-KPP equations
2015/7/14
In this paper, we explain in simple PDE terms a famous result of Bramson about the logarithmic delay of the position of the solutions u(t, x) of Fisher-KPP reaction-diffusion equations in R, with resp...
Power-like delay in time inhomogeneous Fisher-KPP equations
Power-like delay time inhomogeneous Fisher-KPP equations
2015/7/14
We consider solutions of the KPP equation with a time-dependent diffusivity of the formσ(t/T). For an initial condition that is compactly supported, we show that when σ(s) is increasing in time the fr...
The influence of fractional diffusion in Fisher-KPP equations
influence fractional diffusion Fisher-KPP equations
2012/2/29
We study the Fisher-KPP equation where the Laplacian is replaced by the generator of a Feller semigroup with power decaying kernel, an important example being the fractional Laplacian. In contrast wit...