Browsing by Subject "KuramotoSivashinsky equation"
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Conference Object
Analyticity for KuramotoSivashinsky type equations and related systems
(2013)We study the analyticity properties of solutions of KuramotoSivashinsky type equations and related systems, with periodic initial data. In order to do this, we explore the sharpness of the method developed in Collet et ...

Article
Analyticity for KuramotoSivashinskytype equations in two spatial dimensions
(2016)I. Stratis In this work, we investigate the analyticity properties of solutions of KuramotoSivashinskytype equations in two spatial dimensions, with periodic initial data. In order to do this, we explore the applicability ...

Article
Computational study of the dispersively modified KuramotoSivashinsky equation
(2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified KuramotoSivashinsky equations. Time discretizations are constructed using linearly implicit ...

Conference Object
Computational study of the KuramotoSivashinsky equation
(Soc for Industrial & Applied Mathematics Publ, 1996)We report the results of extensive numerical experiments on the KuramotoSivashinsky equation in the strongly chaotic regime as the viscosity parameter is decreased and increasingly more linearly unstable modes enter the ...

Article
Implicitexplicit BDF methods for the KuramotoSivashinsky equation
(2004)We consider the periodic initial value problem for the KuramotoSivashinsky (KS) equation. We approximate the solution by discretizing in time by implicitexplicit BDF schemes and in space by a pseudospectral method. We ...

Article
Investigation of the analyticity of dissipativedispersive systems via a semigroup method
(2014)In this work, we study the analyticity of KuramotoSivashinsky type equations and related systems by exploring the applicability of the semigroup method, which was developed in Collet et al. [5]. We establish the analyticity, ...

Article
Linearly implicit methods for a semilinear parabolic system arising in twophase flows
(2011)We study the discretization of a nonlinear parabolic system arising in twophase flows, which in a special case reduces to the KuramotoSivashinsky equation, by linearly implicit methods and, in particular, by implicitexplicit ...

Article
Linearly implicit schemes for a class of dispersivedissipative systems
(2011)We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...