Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets
Author
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-06
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider the free boundary problem for current-vortex sheets in ideal incompressible magnetohydrodynamics.
The problem of current-vortex sheets arises naturally, for instance, in geophysics and astrophysics.
We prove the existence of a unique solution to the constant-coefficient linearized problem and an a priori estimate with no loss of derivatives.
This is a preliminary result to the study of linearized variable-coefficient current-vortex sheets, a first step to prove the existence of solutions to the nonlinear problem.
American Psychological Association (APA)
Catania, Davide. 2013. Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-483744
Modern Language Association (MLA)
Catania, Davide. Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets. International Journal of Differential Equations No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-483744
American Medical Association (AMA)
Catania, Davide. Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-483744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483744