A spatially periodic Kuramoto-Sivashinsky equation as a model problem for inclined film flow over wavy bottom
The spatially periodic Kuramoto-Sivashinsky equation (pKS) $$ partial_t u=-partial_x^4 u-c_3partial_x^3 u-c_2partial_x^2 u+2 deltapartial_x(cos( x)u)-partial_x(u^2), $$ with $u(t,x)inmathbb{R}$, $tgeq 0$, $xinmathbb{R}$, is a model problem for inclined film flow over wavy bottoms and other spatially...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/118/abstr.html |