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Similarity solutions to evolution equations in one-dimensional interfaces

In this note, we study the evolution equation $$ partial_t h = -upartial^2_x h-Kpartial^4_x h +lambda_1(partial_x h)^2-lambda_2partial^2_x(partial_x h)^2. $$ which was introduced by Munoz-Garcia [9] in the context of erosion by ion beam sputtering. We obtain an analytic solution that has the...

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Hlavní autoři: Mohammed Benlahsen, Ayman Eldoussouki, Mohammed Guedda, Mustapha Jazar
Médium: Artigo
Jazyk:Inglês
Vydáno: Texas State University 2011-05-01
Edice:Electronic Journal of Differential Equations
Témata:
On-line přístup:http://ejde.math.txstate.edu/Volumes/2011/68/abstr.html
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