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Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity
- Source :
-
Journal of Functional Analysis . Jan2008, Vol. 254 Issue 2, p441-453. 13p. - Publication Year :
- 2008
-
Abstract
- Abstract: We are concerned on the possibility of finite time singularity in a partially viscous magnetohydrodynamic equations in , , namely the MHD with positive viscosity and zero resistivity. In the special case of zero magnetic field the system reduces to the Navier–Stokes equations in . In this paper we exclude the scenario of finite time singularity in the form of self-similarity, under suitable integrability conditions on the velocity and the magnetic field. We also prove the nonexistence of asymptotically self-similar singularity. This provides us information on the behavior of solutions near possible singularity of general type as described in Corollary 1.1. [Copyright &y& Elsevier]
- Subjects :
- *MAGNETIC fields
*FLUID dynamics
*PLASMA dynamics
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 254
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 27901340
- Full Text :
- https://doi.org/10.1016/j.jfa.2007.10.001