Well-posedness of logarithmic spiral vortex sheets
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Publication:6123034
DOI10.1016/j.jde.2024.02.019arXiv2110.07543MaRDI QIDQ6123034
Wojciech S. Ożański, Piotr Kokocki, Tomasz Cieślak
Publication date: 4 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07543
Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx) Incompressible inviscid fluids (76Bxx)
Cites Work
- Unnamed Item
- Global vortex sheet solutions of Euler equations in the plane
- Spiral vortex solution of Birkhoff-Rott equation
- Mathematical theory of incompressible nonviscous fluids
- Kinetic energy represented in terms of moments of vorticity and applications
- On self-similar solutions to the incompressible Euler equations
- A theorem on measures in dimension 2 and applications to vortex sheets
- Vorticity and Incompressible Flow
- Diffraction of a weak shock with vortex generation
- A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- Existence de Nappes de Tourbillon en Dimension Deux
- Variety of unsymmetric multibranched logarithmic vortex spirals
- Concentrations in regularizations for 2‐D incompressible flow
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- The point-vortex method for periodic weak solutions of the 2-D Euler equations
- Vortex Dynamics
- Mathematical analysis of vortex sheets
- Family of Similarity Flows with Vortex Sheets
- Existence of vortex sheets with reflection symmetry in two space dimensions.