Search
Now showing items 1-10 of 61
Analyticity of the attractors of dissipative-dispersive systems in higher dimensions
(2018)
We investigate the analyticity of the attractors of a class of Kuramoto-Sivashinsky–type pseudodifferential equations in higher dimensions, which are periodic in all spatial variables and possess a universal attractor. ...
Backward difference formulae for Kuramoto–Sivashinsky type equations
(2017)
We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit–explicit backward difference formula (BDF) methods, establish stability and ...
Linearly implicit schemes for a class of dispersive-dissipative 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 ...
Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation
(2004)
We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We ...
Editorial
(2013)
Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions
(2016)
I. Stratis In this work, we investigate the analyticity properties of solutions of Kuramoto-Sivashinsky-type equations in two spatial dimensions, with periodic initial data. In order to do this, we explore the applicability ...
Analyticity for a class of non-linear evolutionary pseudo-differential equations
(2014)
We study the analyticity properties of solutions for a class of non-linear evolutionary pseudo-differential equations possessing global attractors. In order to do this we utilise an analyticity criterion for spatially ...
Analyticity for Kuramoto-Sivashinsky type equations and related systems
(2013)
We study the analyticity properties of solutions of Kuramoto-Sivashinsky 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 ...
Investigation of the analyticity of dissipative-dispersive systems via a semigroup method
(2014)
In this work, we study the analyticity of Kuramoto-Sivashinsky 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, ...