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White noise perturbation of the viscous shock fronts of the Burgers equation

✍ Scribed by J. Wehr; J. Xin


Publisher
Springer
Year
1996
Tongue
English
Weight
834 KB
Volume
181
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


The stability of the shock profiles of t
✍ S. Engelberg πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 344 KB

In this paper, we study the existence and stability of the shock profiles of the Burgers' equation, ut + uux = uxx. We make use of Hopf-Cole transformations to show when such profiles exist, to prove that perturbations of the profiles decay exponentially quickly in an exponentially weighted norm, an