On turbulence and geometry: from Nash to Onsager
From MaRDI portal
Publication:4967712
zbMath1436.76009arXiv1901.02318MaRDI QIDQ4967712
László jun. Székelyhidi, Camillo De Lellis
Publication date: 10 July 2019
Full work available at URL: https://arxiv.org/abs/1901.02318
weak solutionNavier-Stokes equationsdifferential inclusionEuler equationsimmersionconvex integrationincompressible turbulent flowNash's theorem
Navier-Stokes equations (35Q30) Applications of global analysis to the sciences (58Z05) Fundamentals of turbulence (76F02) Euler equations (35Q31)
Related Items (13)
From the Nash–Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: Analogues, examples, and extensions ⋮ Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities ⋮ Weak solutions of ideal MHD which do not conserve magnetic helicity ⋮ \(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations ⋮ Systematic search for singularities in 3D Euler flows ⋮ Non-conservative solutions of the Euler-\(\alpha\) equations ⋮ Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs ⋮ On Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes System ⋮ On the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticity ⋮ Convex integration constructions in hydrodynamics ⋮ Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations ⋮ Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations ⋮ Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)
This page was built for publication: On turbulence and geometry: from Nash to Onsager
