Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations
From MaRDI portal
Publication:1882478
DOI10.1007/s10114-004-0373-8zbMath1064.35145OpenAlexW2073907696MaRDI QIDQ1882478
Publication date: 1 October 2004
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-004-0373-8
strong convergence3D axially symmetric Euler equationsvorticity maximal functionweak solutions, existence
PDEs in connection with fluid mechanics (35Q35) Euler-Poisson-Darboux equations (35Q05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items
On strong convergence to 3D axisymmetric vortex sheets ⋮ Renormalization and energy conservation for axisymmetric fluid flows ⋮ Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations ⋮ On strong convergence to 3D steady vortex sheets ⋮ Global existence of weak solutions to the three-dimensional Euler equations with helical symmetry ⋮ Viscous approximation and weak solutions of the 3D axisymmetric Euler equations ⋮ Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- On the blow-up of solutions of the 3-D Euler equations in a bounded domain
- Mathematical theory of incompressible nonviscous fluids
- A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain
- A remark on the axisymmetric vortex sheet problem in \(\mathbb{R}^ 3\)
- Note on global existence for axially symmetric solutions of the Euler system
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Convergence of the point vortex method for 2-D vortex sheet
- Vorticity and the mathematical theory of incompressible fluid flow
- Existence de Nappes de Tourbillon en Dimension Deux
- Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
- Remarks on axisymmetric solutions of the incompressible euler system
- Concentrations in regularizations for 2‐D incompressible flow
- 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
