Non-uniqueness of Leray solutions to the hypodissipative Navier-Stokes equations in two dimensions

DOI10.1007/s00220-023-04725-6zbMath1520.35110arXiv2209.08713OpenAlexW4378652133MaRDI QIDQ6109376

Maria Colombo, Dallas Albritton

Publication date: 28 July 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08713

zbMATH Keywords

Navier-Stokes equationsEuler equationsLeray solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

Cites Work

• Stable and unstable ideal plane flows
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• Non-stationary flow of an ideal incompressible liquid
• Infinitely many Leray–Hopf solutions for the fractional Navier–Stokes equations
• Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

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