Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation
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Publication:951709
DOI10.1134/S106456240802021XzbMath1152.35101MaRDI QIDQ951709
Enzo Mitidieri, Victor A. Galaktionov, Pohozaev, Stanislav I.
Publication date: 27 October 2008
Published in: Doklady Mathematics (Search for Journal in Brave)
blow-upKuramoto-Sivashinsky equationDirichlet conditionNavier conditioninitial boundary-value problems
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45)
Related Items
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection ⋮ On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation ⋮ A higher-order finite element approach to the Kuramoto-Sivashinsky equation ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Existence and decay of global solutions to the three-dimensional Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation ⋮ Hidden Symmetry in a Kuramoto–Sivashinsky Initial-Boundary Value Problem ⋮ Critical nonlinearities in partial differential equations ⋮ An approximate solution to an initial boundary value problem to the one-dimensional Kuramoto-Sivashinsky equation ⋮ Critical nonlinearities in partial differential equations ⋮ On Green's function-based time stepping for semilinear initial-boundary value problems
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