Traveling Wave Solutions of the Porous Medium Equation
We prove the existence of a one-parameter family of solutions of the porous medium equation, a nonlinear heat equation. In our work, with space dimension 3, the interface is a half line whose end point advances at constant speed. We prove, by using maximum principle, that the solutions are stable un...
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| Format: | Others |
| Language: | English |
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University of North Texas
2013
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| Online Access: | https://digital.library.unt.edu/ark:/67531/metadc271876/ |