From the Nash–Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: Analogues, examples, and extensions
From MaRDI portal
Publication:5886477
DOI10.1063/5.0100212OpenAlexW4317935875WikidataQ123241634 ScholiaQ123241634MaRDI QIDQ5886477
Publication date: 5 April 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01505
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Black holes as incompressible fluids on the sphere
- The holographic fluid dual to vacuum Einstein gravity
- Non-relativistic fluid dual to asymptotically AdS gravity at finite cutoff surface
- Isometric immersions and compensated compactness
- An explicit isometric reduction of the unit sphere into an arbitrarily small ball
- The fundamental theorem of surface theory for surfaces with little regularity
- On systems of first order linear partial differential equations with \(L^p\) coefficients
- Counterexample to a conjecture of H. Hopf
- Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
- Topological methods in hydrodynamics
- A proof of Onsager's conjecture
- Fluids, elasticity, geometry, and the existence of wrinkled solutions
- Global weak rigidity of the Gauss-Codazzi-Ricci equations and isometric immersions of Riemannian manifolds with lower regularity
- From Navier-Stokes to Einstein
- A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions
- Weak continuity of the Cartan structural system and compensated compactness on semi-Riemannian manifolds with lower regularity
- Convex integration theory without integration
- Anomalous dissipation for \(1/5\)-Hölder Euler flows
- On two-dimensional sonic-subsonic flow
- A characterization of a standard torus in \(E^ 3\)
- On Pfaff systems with \(L^p\) coefficients and their applications in differential geometry
- \(C^1\) isometric imbeddings
- A Cesàro-Volterra formula with little regularity
- Dissipative Euler Flows with Onsager-Critical Spatial Regularity
- h-Principle and Rigidity for C 1,α Isometric Embeddings
- Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
- Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems
- High dimensionality and h-principle in PDE
- Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding
- Partial Differential Relations
- Flat tori in three-dimensional space and convex integration
- On turbulence and geometry: from Nash to Onsager
- Conservation Laws and Gluing Constructions for Constant Mean Curvature (Hyper)Surfaces
- Conserved integrals for inviscid compressible fluid flow in Riemannian manifolds
- Riemannian Geometry
- Results and conjectures in the mathematical theory of subsonic and transonic gas flows
- Hyperbolic Conservation Laws in Continuum Physics
