Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

The large time behavior of solutions to Cauchy problem for viscous Hamilton-Jacobi equation is classified. The large time asymptotics are given by very singular self-similar solutions on one hand and by self-similar viscosity solutions on the other hand

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Veröffentlicht in:arXiv.org 2007-04
Hauptverfasser: Benachour, Said, Karch, Grzegorz, Laurençot, Philippe
Format: Artikel
Sprache:eng
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Zusammenfassung:The large time behavior of solutions to Cauchy problem for viscous Hamilton-Jacobi equation is classified. The large time asymptotics are given by very singular self-similar solutions on one hand and by self-similar viscosity solutions on the other hand
ISSN:2331-8422