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
Publié le : 2004-08-12
Classification:
Viscous Hamilton-Jacobi equations Self similar large time behavior Laplacian unilateral estimates,
MSC: 35K15 . 35B40,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00140768,
author = {Benachour, Said and Karch, Grzegorz and Lauren\c cot, Philippe},
title = {Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00140768}
}
Benachour, Said; Karch, Grzegorz; Laurençot, Philippe. Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00140768/