Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
classification
patt-sol
nlin.PS
keywords
speedcharacterizationdiffusionequationfrontsnonlinearvariationalarbitrary
read the original 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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