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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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| Main Authors: | , , , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
Texas State University
2011-05-01
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| Serier: | Electronic Journal of Differential Equations |
| Fag: | |
| Online adgang: | http://ejde.math.txstate.edu/Volumes/2011/68/abstr.html |
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