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- W2079118968 abstract "We study the global smooth solution for the coupled Kuramoto-Sivanshinsky-KdV system in two-dimensional space. The model is proposed to describe the surface waves on multi-layered liquid films. The global solution is obtained for general initial data, using an a priori estimate for the nonlinear system, and the smoothness of such solution is established in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=t greater-than 0> <mml:semantics> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>t >0</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W2079118968 date "2009-05-06" @default.
- W2079118968 modified "2023-09-23" @default.
- W2079118968 title "Global solutions for coupled Kuramoto-Sivashinsky-KdV system" @default.
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- W2079118968 doi "https://doi.org/10.1090/s0033-569x-09-01148-8" @default.
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