Overview

The Kuramoto-Sivashinsky equation arises in a variety of applications, among which are modeling reaction diffusion systems, flame propagation and viscous flow problems. It is considered here, as a prototype to the larger class of generalized Burgers equations: those consist of a quadratic nonlinearity and an arbitrary linear parabolic part. It is shown that such equations are well posed, thus admitting a unique smooth solution, continuously dependent on its initial data. As an attractive alternative to standard energy methods, existence and stability are derived in this case, by patching in the large short time solutions without loss of derivatives. Tadmor, E. Langley Research Center NASA-CR-172431, ICASE-84-36, NAS 1.26:172431 NAS1-17070

Full Product Details

9781724746436

Table of Contents

Reviews

Author Information

Tab Content 6

Countries Available