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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
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2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
Holistic finite differences accurately model the dynamics of the Kuramoto-Sivashinsky equation
Holistic finite differences accurately model dynamics the Kuramoto-Sivashinsky equation
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2010/10/29
We analyse the nonlinear Kuramoto-Sivashinsky equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assured that...