Local dissipativity in \(L^2\) for the Kuramoto-Sivashinsky equation in spatial dimension 2

DOI10.1023/A:1026459527446zbMath0970.35132MaRDI QIDQ1592763

Luc Molinet

Publication date: 25 January 2001

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

zbMATH Keywords

Kuramoto-Sivashinsky equationglobal existenceperiodic boundary conditionsthin domainabsorbing set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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