Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains
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Publication:5207792
DOI10.1080/03605302.2019.1663433zbMath1471.76022arXiv1305.0905OpenAlexW2994901932MaRDI QIDQ5207792
Dragoş Iftimie, Milton da Costa Lopes Filho, Helena J. Nussenzveig Lopes
Publication date: 13 January 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.0905
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Cites Work
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- Smoothness to the boundary of conformal maps
- Weak solutions to the incompressible Euler equations with vortex sheet initial data
- Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
- Vortex sheets with reflection symmetry in exterior domains
- The two dimensional Euler equations on singular exterior domains
- On \(L^ 1\)-vorticity for 2-D incompressible flow
- Extended divergence-measure fields and the Euler equations for gas dynamics
- Low regularity solutions for the two-dimensional ``rigid body + incompressible Euler system.
- On the motion of a rigid body in a two-dimensional ideal flow with vortex sheet initial data
- Non-uniqueness for the Euler equations: the effect of the boundary
- Numerical evidence of nonuniqueness in the evolution of vortex sheets
- Reduced Hausdorff Dimension and Concentration-Cancellation for Two Dimensional Incompressible Flow
- Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equations
- Existence de Nappes de Tourbillon en Dimension Deux
- Weakly Differentiable Functions
- Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
- Asymptotic behavior of 2D incompressible ideal flow around small disks
- Weak-Strong Uniqueness in Fluid Dynamics
- Two Dimensional Incompressible Ideal Flow Around a Small Obstacle
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
- The point-vortex method for periodic weak solutions of the 2-D Euler equations
- The ℎ-principle and the equations of fluid dynamics
- Vortex Dynamics in a Two-Dimensional Domain with Holes and the Small Obstacle Limit
- Mathematical analysis of vortex sheets
- Existence of vortex sheets with reflection symmetry in two space dimensions.
