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The Decay of Sawtooth Solutions to the Burgers Equation

โœ Scribed by D. F. Parker

Book ID
124940769
Publisher
The Royal Society
Year
1980
Tongue
English
Weight
1019 KB
Volume
369
Category
Article
ISSN
0962-8444

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Existence and decay rates of solutions t
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โœ Jinghua Wang; Hui Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

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 โˆž (R), as well it is o