Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)

From MaRDI portal
Publication:996242

DOI10.1016/j.jde.2007.05.022zbMath1124.35073OpenAlexW2014277056MaRDI QIDQ996242

David Swanson, Animikh Biswas

Publication date: 13 September 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.05.022




Related Items (23)

Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advectionOn the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equationGlobal-in-time Gevrey regularity solution for a class of bistable gradient flowsOn the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equationRegularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and threeOn persistence of spatial analyticity for the dispersion-generalized periodic KdV equationWell-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spacesOn the global existence for the Kuramoto-Sivashinsky equationGlobal-in-time Gevrey regularity solutions for the functionalized Cahn-Hilliard equationGevrey regularity for a class of dissipative equations with applications to decayExistence and analytic regularity of certain solutions for the generalized BBM-Burgers equation in $\mathbb R^n$Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classesOn Gevrey regularity of the supercritical SQG equation in critical Besov spacesGlobal solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each directionExistence time for the 3D Navier-Stokes equations in a generalized Gevrey classOn the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascadesGevrey regularity for the supercritical quasi-geostrophic equationNavier–Stokes Equations and Weighted Convolution Inequalities in GroupsGevrey regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type in critical Besov spacesCubic Hermite collocation solution of Kuramoto–Sivashinsky equationDissipation length scale estimates for turbulent flows: a Wiener algebra approachGlobal existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flowGlobal existence and analyticity for the 2D Kuramoto-Sivashinsky equation



Cites Work


This page was built for publication: Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)