Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains
Existence and uniqueness of solutions to the Navier-Stokes equations in dimension two with forces in the space Lq((0, T ); W−1,p(Ω)) for p and q in appropriate parameter ranges are proven. The case of spatially measured-valued forces is included. For the associated Stokes equation the well- posednes...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/21928 |
| Acceso en línea: | http://hdl.handle.net/10902/21928 |
| Access Level: | acceso abierto |
| Palabra clave: | Evolution Navier-Stokes equations Weak solutions Uniqueness clasess Sensitivity analysis Asymptotic stability |
| Sumario: | Existence and uniqueness of solutions to the Navier-Stokes equations in dimension two with forces in the space Lq((0, T ); W−1,p(Ω)) for p and q in appropriate parameter ranges are proven. The case of spatially measured-valued forces is included. For the associated Stokes equation the well- posedness results are verified in arbitrary dimensions for any 1 < p, q < ∞. |
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