A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds

DOI10.1090/tran/6549zbMath1335.58018arXiv1310.7947OpenAlexW2962917666WikidataQ123265468 ScholiaQ123265468MaRDI QIDQ2790737

Sung-Jin Oh, Philip Isett

Publication date: 8 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7947

zbMATH Keywords

weak solutionsEuler equationscompact Riemannian manifoldOnsager's conjecture

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Euler equations (35Q31)

Related Items (17)

A proof of Onsager's conjecture ⋮ On nonperiodic Euler flows with Hölder regularity ⋮ A note on weak solutions of conservation laws and energy/entropy conservation ⋮ Energy conservation for the weak solutions of the compressible Navier-Stokes equations ⋮ Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations ⋮ On the Continuous Periodic Weak Solutions of Boussinesq Equations ⋮ Onsager's conjecture for the incompressible Euler equations in bounded domains ⋮ Regularity and energy conservation for the compressible Euler equations ⋮ Introduction to special issue: ``Nonlinear partial differential equations in mathematical fluid dynamics ⋮ Statistical solutions and Onsager's conjecture ⋮ Hölder continuous periodic solution of Boussinesq equation with partial viscosity ⋮ A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain ⋮ Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary ⋮ The energy measure for the Euler and Navier-Stokes equations ⋮ Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations ⋮ Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature ⋮ Hölder continuous solutions of Boussinesq equations

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