Existence of a weak solution in \(L ^{p }\) to the vortex-wave system
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Publication:650102
DOI10.1007/s00332-011-9097-yzbMath1226.76005OpenAlexW2017081617MaRDI QIDQ650102
Evelyne Miot, Helena J. Nussenzveig Lopes, Milton da Costa Lopes Filho
Publication date: 25 November 2011
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-011-9097-y
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
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Cites Work
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- The \(N\)-vortex problem on a sphere: Geophysical mechanisms that break integrability
- The motion of the particles of a two-dimensional ideal incompressible fluid
- Mathematical theory of incompressible nonviscous fluids
- Vortices and localization in Euler flows
- Uniqueness of a solution to the problem of evolution of a point vortex
- Diagonal defect measures, adhesion dynamics and Euler equation.
- Vorticity and Incompressible Flow
- Point vortex dynamics within a background vorticity patch
- Theory and simulations of two-dimensional vortex motion driven by a background vorticity gradient
- Uniqueness for the Vortex-Wave System When the Vorticity Is Constant Near the Point Vortex
- Existence de Nappes de Tourbillon en Dimension Deux
- Two Dimensional Incompressible Ideal Flow Around a Small Obstacle
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- Existence of vortex sheets with reflection symmetry in two space dimensions.
