The 3D incompressible Euler equations with a passive scalar: a road to blow-up?
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Publication:2441432
DOI10.1007/s00332-013-9175-4zbMath1292.35216arXiv1211.3811OpenAlexW1978187392MaRDI QIDQ2441432
Edriss S. Titi, John D. Gibbon
Publication date: 24 March 2014
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.3811
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Euler equations (35Q31)
Related Items (5)
Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion ⋮ Introduction to special issue: ``Nonlinear partial differential equations in mathematical fluid dynamics ⋮ A new path to the non blow-up of incompressible flows ⋮ Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study ⋮ Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of weak solutions for the incompressible Euler equations
- An inviscid flow with compact support in space-time
- The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow
- Nonlinear evolution equations and the Euler flow
- On admissibility criteria for weak solutions of the Euler equations
- Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
- The three-dimensional Euler equations: Where do we stand?
- 3D Euler about a 2D symmetry plane
- Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods
- Blowup or no blowup? the interplay between theory and numerics
- Stability in functional differential equations established using fixed point theory
- The Euler equations as a differential inclusion
- Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations
- 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)
- On the Euler equations of incompressible perfect fluids
- On the blow-up of solutions of the 3-D Euler equations in a bounded domain
- A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain
- Topological methods in hydrodynamics
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations
- Euler equations for incompressible ideal fluids
- Clebsch representation near points where the vorticity vanishes
- The dynamics of the gradient of potential vorticity
- Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
- Evidence for a singularity of the three-dimensional, incompressible Euler equations
- Geometric Statistics in Turbulence
- Geometric constraints on potentially
- On the Euler equations of incompressible fluids
- The degree of knottedness of tangled vortex lines
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