Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
نویسندگان
چکیده
منابع مشابه
Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
In suitable parameter regimes the Integral Boundary Layer equation (IBLe) can be formally derived as a long wave approximation for the flow of a viscous incompressible fluid down an inclined plane. For very long waves with small amplitude, the IBLe can be further reduced to the Kuramoto–Sivashinsky equation (KSe). Here we justify this reduction of the IBL to the KSe. Using energy estimates we s...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2003
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139902405900