Global well-posedness of 2D Euler-α equation in exterior domain
From MaRDI portal
Publication:5042391
DOI10.1088/1361-6544/ac9508OpenAlexW4306402887MaRDI QIDQ5042391
Yin Li, Aibin Zang, Xiaoguang You
Publication date: 19 October 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00915
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items
The singular limit of second-grade fluid equations in a 2D exterior domain ⋮ Global well-posedness of second-grade fluid equations in 2D exterior domain
Cites Work
- Unnamed Item
- Incompressible flow around a small obstacle and the vanishing viscosity limit
- Ordinary differential equations, transport theory and Sobolev spaces
- Vortex methods for flow simulation
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- On the boundedness of the Stokes semigroup in two-dimensional exterior domains
- Global well-posedness for the averaged Euler equations in two dimensions
- Analysis on groups of diffeomorphisms of manifolds with boundary and the averaged motion of a fluid.
- The Poisson equation in homogeneous Sobolev spaces
- The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains
- Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers
- Vorticity and Incompressible Flow
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Mathematics of Large Eddy Simulation of Turbulent Flows
- On second grade fluids with vanishing viscosity
- Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions
- Two Dimensional Incompressible Ideal Flow Around a Small Obstacle
- The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data
- Incompressible Second-Order Fluids
