Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime
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DOI: 10.1007/s00205-018-1330-5
Abstract: We are concerned with the nonlinear stability of vortex sheets for the relativistic Euler equations in three-dimensional Minkowski spacetime. This is a nonlinear hyperbolic problem with a characteristic free boundary. In this paper, we introduce… read more here.
Keywords: vortex sheets; relativistic vortex; nonlinear stability; stability ... See more keywords
Rotating equilibria of vortex sheets
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DOI: 10.1016/j.physd.2019.132286
Abstract: Abstract We consider relative equilibrium solutions of the two-dimensional Euler equations in which the vorticity is concentrated on a union of finite-length vortex sheets. Using methods of complex analysis, more specifically the theory of the… read more here.
Keywords: vortex sheets; equilibrium; equilibria vortex; rotating equilibria ... See more keywords
Dipole and Multipole Flows with Point Vortices and Vortex Sheets
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DOI: 10.1134/s1560354718050039
Abstract: An exact method is presented for obtaining uniformly translating distributions of vorticity in a two-dimensional ideal fluid, or equivalently, stationary distributions in the presence of a uniform background flow. These distributions are generalizations of the… read more here.
Keywords: point vortices; vortex sheets; multipole flows; dipole multipole ... See more keywords