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Stability of the Burgers shock wave

✍ Scribed by Lü Xian-qing


Publisher
Springer
Year
1993
Tongue
English
Weight
79 KB
Volume
14
Category
Article
ISSN
0253-4827

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📜 SIMILAR VOLUMES


The stability of the shock profiles of t
✍ S. Engelberg 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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