Self-similar solutions for the Muskat equation
We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/217592 |
| Acceso en línea: | https://hdl.handle.net/2445/217592 |
| Access Level: | acceso abierto |
| Palabra clave: | Equacions en derivades parcials Mecànica de fluids Partial differential equations Fluid mechanics |
| Sumario: | We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $0<|s| \ll 1$; they are exact corners of slope $s$ at $t=0$ and become smooth in $x$ for $t>0$. |
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