DISPERSIVE EFFECTS IN A MODIFIED KURAMOTO–SIVASHINSKY EQUATION

DOI10.1081/PDE-120016163zbMath1018.35067OpenAlexW2058667493MaRDI QIDQ4796786

Judith R. Miller, Alexander Iosevich

Publication date: 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120016163

zbMATH Keywords

Green's functionsKorteweg-de Vries equationoscillatory integralslimiting behavior

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay ⋮ Evolution equation for bidirectional surface waves in a convecting fluid ⋮ Global well-posedness of the stochastic generalized Kuramoto-Sivashinsky equation with multiplicative noise ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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