On the evolution equation of compressible vortex sheets
نویسندگان
چکیده
منابع مشابه
Numerical evidence of nonuniqueness in the evolution of vortex sheets
We consider a special configuration of vorticity that consists of a pair of externally tangent circular vortex sheets, each having a circularly symmetric core of bounded vorticity concentric to the sheet, and each core precisely balancing the vorticity mass of the sheet. This configuration is a stationary weak solution of the 2D incompressible Euler equations. We propose to perform numerical ex...
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15 صفحه اولExistence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics
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: Mathematische Nachrichten
سال: 2020
ISSN: 0025-584X,1522-2616
DOI: 10.1002/mana.201800162