Backward behavior of solutions of the Kuramoto-Sivashinsky equation

DOI10.1016/j.jmaa.2005.01.057zbMath1080.35121OpenAlexW2019739396MaRDI QIDQ556992

Mehmet Malcok, Igor Kukavica

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.057

zbMATH Keywords

global attractormaximal invariant setsuperexponential backward growth

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (8)

Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem ⋮ Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation ⋮ Regularization of the backward-in-time Kuramoto-Sivashinsky equation ⋮ On the behavior of the Lorenz equation backward in time ⋮ On backward-time behavior of the solutions to the 2-D space periodic Navier-Stokes equations ⋮ Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\) ⋮ On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations ⋮ On the backward behavior of some dissipative evolution equations

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