Non-uniqueness for the Euler equations: the effect of the boundary
From MaRDI portal
Publication:2875025
DOI10.1070/RM2014v069n02ABEH004886zbMath1301.35097arXiv1305.0773MaRDI QIDQ2875025
Emil Wiedemann, László jun. Székelyhidi, Claude Bardos
Publication date: 13 August 2014
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.0773
Euler equationsnon-uniquenessboundary effectsdissipative solutionsinviscid limitconvex integrationrotational flowswild solutions
PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items
Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit ⋮ Inviscid limit for stochastic Navier-Stokes equations under general initial conditions ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Dissipative Measure-Valued Solutions to the Euler–Poisson Equation ⋮ Anomalous dissipation and spontaneous stochasticity in deterministic surface quasi-geostrophic flow ⋮ Convex integration constructions in hydrodynamics ⋮ Remarks on high Reynolds numbers hydrodynamics and the inviscid limit ⋮ Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary ⋮ Piecewise constant subsolutions for the Muskat problem ⋮ Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains ⋮ Zero Viscosity Boundary Effect Limit and Turbulence ⋮ Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit ⋮ Localised relative energy and finite speed of propagation for compressible flows ⋮ Remarks on the Inviscid Limit for the Navier--Stokes Equations for Uniformly Bounded Velocity Fields
This page was built for publication: Non-uniqueness for the Euler equations: the effect of the boundary