Global well-posedness of a stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection

Global well-posedness of a stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection

The stochastic version of a coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection is investigated in this paper. By making careful analysis, it is proved that the initial periodic boundary value problem of this system of equations with additive noises is globally w...

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Veröffentlicht in:Journal of mathematical physics 2012-03, Vol.53 (3), p.033710-033710-14
Hauptverfasser: Wu, Wei, Cui, Shangbin, Duan, Jinqiao
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Exact sciences and technology
Fluid dynamics
Mathematical methods in physics
Mathematics
Noise
Physics
Sciences and techniques of general use
Stochastic models
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Zusammenfassung:The stochastic version of a coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection is investigated in this paper. By making careful analysis, it is proved that the initial periodic boundary value problem of this system of equations with additive noises is globally well-posed under the assumption that the “Marangoni coefficient” satisfies the condition 0 < α < 2.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3694253