Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations
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Publication:3300868
DOI10.1137/19M1281009zbMath1446.76075OpenAlexW3044685583MaRDI QIDQ3300868
Publication date: 30 July 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1281009
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Geophysical flows (76U60)
Related Items (13)
Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations ⋮ Sharp nonuniqueness for the Navier-Stokes equations ⋮ \(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations ⋮ Onsager's conjecture for subgrid scale \(\alpha\)-models of turbulence ⋮ An intermittent Onsager theorem ⋮ Non-conservative solutions of the Euler-\(\alpha\) equations ⋮ Convex integration constructions in hydrodynamics ⋮ Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System ⋮ Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations ⋮ Nonuniqueness of weak solutions for the transport equation at critical space regularity ⋮ Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations ⋮ Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries ⋮ Classical solutions for the 3D quasi-geostrophic system on a bounded domain
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