On the continuation principles for the Euler equations and the quasi-geostrophic equation
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Publication:2498848
DOI10.1016/j.jde.2005.12.013zbMath1105.35067OpenAlexW2015281582MaRDI QIDQ2498848
Publication date: 16 August 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.12.013
PDEs in connection with fluid mechanics (35Q35) Continuation and prolongation of solutions to PDEs (35B60) Euler-Poisson-Darboux equations (35Q05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (11)
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation ⋮ On the self-similar solutions of the 3D Euler and the related equations ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ Notes on the incompressible Euler and related equations on \(\mathbb R^N\) ⋮ On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations ⋮ Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum ⋮ Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations ⋮ On the Lagrangian dynamics of the axisymmetric 3D Euler equations ⋮ A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations ⋮ The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces ⋮ On the Behaviors of Solutions Near Possible Blow-Up Time in the Incompressible Euler and Related Equations
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