Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets
نویسندگان
چکیده
منابع مشابه
Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets
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...
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Compressible vortex sheets are fundamental waves, along with shocks and rarefaction waves, in entropy solutions to multidimensional hyperbolic systems of conservation laws. Understanding the behavior of compressible vortex sheets is an important step towards our full understanding of fluid motions and the behavior of entropy solutions. For the Euler equations in two-dimensional gas dynamics, th...
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ژورنال
عنوان ژورنال: International Journal of Differential Equations
سال: 2013
ISSN: 1687-9643,1687-9651
DOI: 10.1155/2013/595819