Large Time Existence of Special Strong Solutions to MHD Equations in Cylindrical Domains
| Autor: | Bernard Nowakowski, Wojciech M. Zajaczkowski, Gerhard Ströhmer |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Applied Mathematics 010102 general mathematics Regular solution 010103 numerical & computational mathematics Mechanics Condensed Matter Physics 01 natural sciences Strong solutions Computational Mathematics External data Cylinder Vector field Boundary value problem 0101 mathematics Finite time Magnetohydrodynamics Mathematical Physics |
| Zdroj: | Journal of Mathematical Fluid Mechanics. 20:1013-1034 |
| ISSN: | 1422-6952 1422-6928 |
| Popis: | We investigate the problem of the existence of regular solutions to the three-dimensional MHD equations in cylindrical domains with perfectly conducting boundaries and under the Navier boundary conditions for the velocity field. We show that if the initial and external data do not change too rapidly along the axis of the cylinder, then there exists a unique regular solution for any finite time. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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