Global existence of weak solutions to the three-dimensional Euler equations with helical symmetry
From MaRDI portal
Publication:512639
DOI10.1016/j.jde.2017.01.019zbMath1360.35158OpenAlexW2586989456MaRDI QIDQ512639
Jun Li, Quan-sen Jiu, Dong-juan Niu
Publication date: 27 February 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.01.019
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Second-order elliptic systems (35J47) Euler equations (35Q31)
Related Items
Travelling helices and the vortex filament conjecture in the incompressible Euler equations ⋮ Global well-posedness of three-dimensional Navier-Stokes equations with partial viscosity under helical symmetry ⋮ On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations ⋮ Desingularization of 3D steady Euler equations with helical symmetry ⋮ Helical vortices with small cross-section for 3D incompressible Euler equation ⋮ Structure of Green's function of elliptic equations and helical vortex patches for 3D incompressible Euler equations ⋮ The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry ⋮ Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Planar limits of three-dimensional incompressible flows with helical symmetry
- Existence of weak solutions for the incompressible Euler equations
- Weak solutions to the incompressible Euler equations with vortex sheet initial data
- On admissibility criteria for weak solutions of the Euler equations
- Invariant helical subspaces for the Navier-Stokes equations
- The Euler equations as a differential inclusion
- Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations
- Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
- On strong convergence to 3D axisymmetric vortex sheets
- Vorticity and Incompressible Flow
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Existence de Nappes de Tourbillon en Dimension Deux
- Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
- Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows
- Concentrations in regularizations for 2‐D incompressible flow
- Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
- Existence globale en temps de solutions hélicoïdales des équations d'Euler
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
- 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
- Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
