Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
DOI10.3934/MINE.2024020MaRDI QIDQ6618897
Gennaro Ciampa, Stefano Spirito, Gianluca Crippa
Publication date: 15 October 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Title not available (Why is that?)
- Transport and instability for perfect fluids
- Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
- Remarks about the inviscid limit of the Navier-Stokes system
- Ordinary differential equations, transport theory and Sobolev spaces
- On the solutions in the large of the two-dimensional flow of a nonviscous incompressible fluid
- On \(L^ 1\)-vorticity for 2-D incompressible flow
- Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
- Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
- Parabolic equations with irregular data and related issues. Applications to stochastic differential equations
- Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
- Compactness for nonlinear continuity equations
- On the Sobolev space of functions with derivative of logarithmic order
- Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts
- On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
- Preservation of log-Hölder coefficients of the vorticity in the transport equation
- On self-similar solutions to the incompressible Euler equations
- A posteriori error estimates for self-similar solutions to the Euler equations
- Loss of regularity for the 2D Euler equations
- Loss of regularity for the continuity equation with non-Lipschitz velocity field
- Convergence of numerical approximations to non-linear continuity equations with rough force fields
- An initial value problem for two-dimensional ideal incompressible fluids with continuous vorticity
- Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit
- Advection diffusion equations with Sobolev velocity field
- Vorticity and incompressible flow
- Fourier Analysis and Nonlinear Partial Differential Equations
- Existence de Nappes de Tourbillon en Dimension Deux
- A remark on the inviscid limit for two-dimensional incompressible fluids
- Concentrations in regularizations for 2‐D incompressible flow
- Inviscid Limit of Vorticity Distributions in the Yudovich Class
- A Note on the Vanishing Viscosity Limit in the Yudovich Class
- Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
- Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space
- Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign
- A KAM approach to the inviscid limit for the 2D Navier-Stokes equations
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