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Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation

R. D. Benguria·M. C. Depassier
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Abstract

We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation $u_t = u_{xx} + f(u)$ with $f(0)=f(1)=0$, and $f>0$ in $(0,1)$, which permits, in principle, the calculation of the exact speed for arbitrary $f$.

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R. D. Benguria, M. C. Depassier. 1994-10-20. Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation. https://doi.org/10.1007/bf02101631

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