Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations
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Publication:5037905
DOI10.1088/1361-6544/ac8a39zbMath1497.35352arXiv2102.06085OpenAlexW3127046487MaRDI QIDQ5037905
Publication date: 29 September 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06085
Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Hausdorff and packing measures (28A78) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (8)
On double Hölder regularity of the hydrodynamic pressure in bounded domains ⋮ \(L^2\)-density of wild initial data for the hypodissipative Navier-Stokes equations ⋮ Regularity in time along the coarse scale flow for the incompressible Euler equations ⋮ On the weak solutions for the MHD systems with controllable total energy and cross helicity ⋮ Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces ⋮ Intermittency and lower dimensional dissipation in incompressible fluids ⋮ Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation ⋮ Hölder regularity of helicity for the incompressible flows
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- Infinitely many Leray–Hopf solutions for the fractional Navier–Stokes equations
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