Article ID Journal Published Year Pages File Type
4604251 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2014 22 Pages PDF
Abstract

We consider the KdV–Burgers equation ut+uxxx−uxx+λu+uux=0ut+uxxx−uxx+λu+uux=0 and its linearized version ut+uxxx−uxx+λu=0ut+uxxx−uxx+λu=0 on the whole real line. We investigate their well-posedness their exponential stability when λ is an indefinite damping.

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Physical Sciences and Engineering Mathematics Analysis
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Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping
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