Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system

DOI10.1006/jmaa.2000.6796zbMath0957.35116OpenAlexW2080928194MaRDI QIDQ1577938

Huijiang Zhao, Shao-Qiang Tang

Publication date: 22 March 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6796

zbMATH Keywords

nonlinear stabilityglobal existenceoptimal decay ratenonlinear interaction between negative diffusion and high-order dissipation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (5)

Global existence and pointwise estimates of solutions to generalized Kuramoto-Sivashinsky system in multi-dimensions ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Bifurcations in Kuramoto-Sivashinsky equations ⋮ Existence and analytic regularity of certain solutions for the generalized BBM-Burgers equation in $\mathbb R^n$ ⋮ Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction

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