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Existence and decay rates of solutions to the generalized Burgers equation

✍ Scribed by Jinghua Wang; Hui Zhang

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 183 KB
Volume: 284
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00336-6

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✦ Synopsis

In this paper we study the generalized Burgers equation u t + (u 2 /2) x = f (t)u xx , where f (t) > 0 for t > 0. We show the existence and uniqueness of classical solutions to the initial value problem of the generalized Burgers equation with rough initial data belonging to L ∞ (R), as well it is obtained the decay rates of u in L p norm are algebra order for p ∈ [1, ∞[.

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