On the search for singularities in incompressible flows.

DOI10.1007/s10778-006-0108-xzbMath1164.76320OpenAlexW2017558342MaRDI QIDQ954589

Diego Cordoba

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33257

zbMATH Keywords

Navier-Stokes equationssingularitiesincompressible flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation ⋮ The sharp corner formation in 2D Euler dynamics of patches: infinite double exponential rate of merging

Cites Work

• Unnamed Item
• Unnamed Item
• Ordinary differential equations, transport theory and Sobolev spaces
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• On the Euler equations in the critical Triebel-Lizorkin spaces
• A maximum principle applied to quasi-geostrophic equations
• Global regularity for vortex patches
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• A geometrical constraint for capillary jet breakup
• Nonsingular surface quasi-geostrophic flow
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• On the critical dissipative quasi-geostrophic equation
• A Cascade of Structure in a Drop Falling from a Faucet
• Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
• New a priori estimates for navier-stokes equations in dimension 3
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Axisymmetric free boundary problems
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• On Squirt Singularities in Hydrodynamics
• On the evolution of sharp fronts for the quasi‐geostrophic equation
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Applied Analysis of the Navier-Stokes Equations
• Surface quasi-geostrophic dynamics
• Geometric constraints on potentially
• Evidence of singularities for a family of contour dynamics equations
• A pointwise estimate for fractionary derivatives with applications to partial differential equations
• Almost sharp fronts for the surface quasi-geostrophic equation
• Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
• On the collapse of tubes carried by 3D incompressible flows

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