Large time behavior of solutions to the generalized Burgers equations
Kato, Masakazu
Osaka J. Math., Tome 44 (2007) no. 1, p. 923-943 / Harvested from Project Euclid
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We study large time behavior of the solutions to the initial value problem for the generalized Burgers equation. It is known that the solution tends to a self-similar solution to the Burgers equation at the rate $t^{-1} \log t$ in $L^{\infty}$ as $t \to \infty$. The aim of this paper is to show that the rate is optimal under suitable assumptions and to obtain the second asymptotic profile of large time behavior of the solutions.
Publié le : 2007-12-15
Classification:  35B40,  35L65 
@article{1199719413,
     author = {Kato, Masakazu},
     title = {Large time behavior of solutions to the generalized Burgers equations},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 923-943},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199719413}
}

Kato, Masakazu. Large time behavior of solutions to the generalized Burgers equations. Osaka J. Math., Tome 44 (2007) no. 1, pp.  923-943. http://gdmltest.u-ga.fr/item/1199719413/