On the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticity
From MaRDI portal
Publication:2204074
DOI10.1007/s00526-020-01805-6zbMath1448.35333arXiv1909.05938OpenAlexW3082678169WikidataQ115606484 ScholiaQ115606484MaRDI QIDQ2204074
Publication date: 2 October 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05938
Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) First-order hyperbolic systems (35L40) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (3)
On the constancy theorem for anisotropic energies through differential inclusions ⋮ T5 configurations and hyperbolic systems ⋮ The four-state problem and convex integration for linear differential operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dissipative continuous Euler flows
- An inviscid flow with compact support in space-time
- Tartar's conjecture and localization of the quasiconvex hull in \(\mathbb R^{2\times 2}\)
- The Euler equations as a differential inclusion
- Convergence of approximate solutions to conservation laws
- Quasiconvexity and partial regularity in the calculus of variations
- New examples of quasiconvex functions
- Convex integration for Lipschitz mappings and counterexamples to regularity
- A proof of Onsager's conjecture
- \(T_5\)-configurations and non-rigid sets of matrices
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- The regularity of critical points of polyconvex functionals
- Convex integration with constraints and applications to phase transitions and partial differential equations
- Null Lagrangian measures in subspaces, compensated compactness and conservation laws
- Anomalous dissipation for \(1/5\)-Hölder Euler flows
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Parabolic systems with nowhere smooth solutions
- Rank-one convex hulls in \(\mathbb R^{2\times 2}\)
- \(C^1\) isometric imbeddings
- Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
- Onsager's Conjecture for Admissible Weak Solutions
- Compensated Compactness and General Systems of Conservation Laws
- Partial Differential Relations
- Studying Nonlinear pde by Geometry in Matrix Space
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- Rigidity for the four gradient problem
- The ℎ-principle and the equations of fluid dynamics
- On turbulence and geometry: from Nash to Onsager
This page was built for publication: On the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticity