The stability of the shock profiles of t
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S. Engelberg
📂
Article
📅
1998
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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