Weak stablity and closure in turbulence
arXiv:2108.01597 · doi:10.1098/rsta.2021.0091
Abstract
We survey recent results in the mathematical literature on the equations of incompressible fluid dynamics, highlighting common themes and how they might contribute to the understanding of some phenomena in the theory of fully developed turbulence.
arXiv commentTo appear in Philosophical Transactions of the Royal Society A
References in corpus (16)
- On admissibility criteria for weak solutions of the Euler equations
- Dissipative continuous Euler flows
- Global ill-posedness of the isentropic system of gas dynamics
- Non-uniqueness and h-principle for Hölder-continuous weak solutions of the Euler equations
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Young Measures Generated by Ideal Incompressible Fluid Flows
- Sharp nonuniqueness for the Navier-Stokes equations
- Convex integration solutions to the transport equation with full dimensional concentration
- Ill-posedness of Leray solutions for the ipodissipative Navier-Stokes equations
- Positive solutions of transport equations and classical nonuniqueness of characteristic curves
- An Onsager Singularity Theorem for Leray Solutions of Incompressible Navier-Stokes
- Non Uniqueness of power-law flows
- Bounded solutions of ideal MHD with compact support in space-time
- Remarks on high Reynolds numbers hydrodynamics and the inviscid limit
- Proof of Taylor's conjecture on magnetic helicity conservation
- Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in bounded domain