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- Title
Well-Posedness, Blow-up Criteria and Stability for Solutions of the Generalized MHD Equations in Sobolev-Gevrey Spaces.
- Authors
Guterres, Robert H.; Melo, Wilberclay G.; Rocha, Natã F.; Santos, Thyago S. R.
- Abstract
This work presents the existence of local in time solutions for the generalized Magnetohydrodynamics equations in Sobolev-Gevrey (and Sobolev) spaces. Moreover, we establish the behavior of these solutions at potential blow-up times. In addition, if the initial data is assumed to be small enough, this paper proves the existence of global in time solutions, which are stable, in these same type of spaces.
- Publication
Acta Applicandae Mathematicae, 2021, Vol 176, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-021-00448-9