Existence of solution and its behavior with respect to one parameter for a wave model in a viscous fluid
In this work we study the existence, uniqueness and continuous dependence of the solution of the KdV-Kuramoto-Sivashinsky homogeneous linear equation in periodic Sobolev spaces. We do this using semigroup theory and Fourier theory on periodic distributions. Also, using the immersions between the Sob...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/18442 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/18442 |
| Access Level: | acceso abierto |
| Palabra clave: | Existence of solution KdV-Kuramoto-Sivashinski equation periodic Sobolev spaces Semigroups Existencia de solución ecuación KdV-Kuramoto-Sivashinski espacios de Sobolev periódico Semigrupos |
| Sumario: | In this work we study the existence, uniqueness and continuous dependence of the solution of the KdV-Kuramoto-Sivashinsky homogeneous linear equation in periodic Sobolev spaces. We do this using semigroup theory and Fourier theory on periodic distributions. Also, using the immersions between the Sobolev spaces we obtain regularity additional properties. Furthermore, we proved some claims done in [8].Finally, we analyze the behavior of the solution with respect to one parameter, proving that its limit is the solution of a Cauchy problem whose associated semigroup is the restriction of a group. |
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