Towards a sufficient criterion for collapse in 3D Euler equations

DOI10.1016/S0167-2789(03)00225-2zbMath1037.35056arXivphysics/0204080OpenAlexW3104299122MaRDI QIDQ1407933

Evgenii Kuznetsov

Publication date: 21 September 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0204080

zbMATH Keywords

initial conditionsintegral criterionHopf equation blow-up solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Euler-Poisson-Darboux equations (35Q05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (4)

Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings ⋮ On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation ^* ⋮ The new exact solution of the compressible 3D Navier-Stokes equations ⋮ Slipping flows and their breaking

Cites Work

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• Sharper criteria for the wave collapse
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Remarks on a paper by J. T. Beale, T. Kato, and A. Majda (Remarks on the breakdown of smooth solutions for the 3-dimensional Euler equations)
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Wave collapse in plasmas and fluids

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