Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl
DOI10.1007/s00332-021-09687-4zbMath1462.35271arXiv1605.06740OpenAlexW3137631502MaRDI QIDQ2022590
Jitao Liu, Dong-juan Niu, Quan-sen Jiu
Publication date: 29 April 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06740
Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Axially symmetric solutions to PDEs (35B07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global well-posedness for the Boussinesq system with horizontal dissipation
- Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion
- Global existence of weak solutions to the three-dimensional Euler equations with helical symmetry
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Axisymmetric solutions to the 3D Euler equations
- Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations
- Note on global existence for axially symmetric solutions of the Euler system
- On axially symmetric flows in \(\mathbb{R}^3\)
- Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
- Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations
- The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- On strong convergence to 3D axisymmetric vortex sheets
- Global well-posedness of three-dimensional Navier-Stokes equations with partial viscosity under helical symmetry
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Vorticity and Incompressible Flow
- On regularity criterion to the 3D axisymmetric incompressible MHD equations
- Reduced Hausdorff Dimension and Concentration-Cancellation for Two Dimensional Incompressible Flow
- Axisymmetric incompressible flows with bounded vorticity
- 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
- Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows
- Concentrations in regularizations for 2‐D incompressible flow
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
- Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation
- Viscous approximation and weak solutions of the 3D axisymmetric Euler equations
- Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
- Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity
This page was built for publication: Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl