Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
R. D. Benguria, M. C. Depassier
Abstract
We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation ut = uxx + 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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