Strong convergence of the vorticity and conservation of the energy for the α-Euler equations

DOI10.1088/1361-6544/ad1cdfarXiv2306.06641OpenAlexW4391574684MaRDI QIDQ6120881

Gianluca Crippa, Stefano Spirito, Unnamed Author

Publication date: 21 February 2024

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06641

zbMATH Keywords

Lagrangian solutions2D Euler equations2D \(\alpha\)-Euler equationsconservation of the energy

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Energy conservation in two-dimensional incompressible ideal fluids
• Mathematical perspectives on large eddy simulation models for turbulent flows
• Ordinary differential equations, transport theory and Sobolev spaces
• On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations
• Mathematical theory of incompressible nonviscous fluids
• The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Energy conservation for 2D Euler with vorticity in \(L(\log L)^\alpha\)
• Renormalized solutions of the 2D Euler equations
• Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers
• Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit
• THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
• Mathematics of Large Eddy Simulation of Turbulent Flows
• Estimates and regularity results for the DiPerna-Lions flow
• A remark on the inviscid limit for two-dimensional incompressible fluids
• Weak solutions for theα-Euler equations and convergence to Euler
• The inviscid limit for non-smooth vorticity
• On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
• Inviscid Limit of Vorticity Distributions in the Yudovich Class
• The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data
• Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
• Non-stationary flow of an ideal incompressible liquid
• The Navier-Stokes-alpha model of fluid turbulence

This page was built for publication: Strong convergence of the vorticity and conservation of the energy for the α-Euler equations