dorsal/arxiv
View SchemaVariational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
| Authors | R. D. Benguria, M. C. Depassier |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9408001 |
| URL | https://arxiv.org/abs/patt-sol/9408001 |
| DOI | 10.1007/BF02101631 |
| Journal | Commun. Math. Phys., 175 (1996) 221 |
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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"abstract": "We give an integral variational characterization for the speed of fronts of\nthe nonlinear diffusion equation $u_t = u_{xx} + f(u)$ with $f(0)=f(1)=0$, and\n$f\u003e0$ in $(0,1)$, which permits, in principle, the calculation of the exact\nspeed for arbitrary $f$.",
"arxiv_id": "patt-sol/9408001",
"authors": [
"R. D. Benguria",
"M. C. Depassier"
],
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"doi": "10.1007/BF02101631",
"journal_ref": "Commun. Math. Phys., 175 (1996) 221",
"title": "Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation",
"url": "https://arxiv.org/abs/patt-sol/9408001"
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