Relaxation approximation of Friedrichs' systems under convex constraints

DOI10.3934/nhm.2016.11.223zbMath1339.35162arXiv1505.07957OpenAlexW1594120821MaRDI QIDQ262144

Clément Mifsud, Jean-François Babadjian, Nicolas Seguin

Publication date: 29 March 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07957

zbMATH Keywords

convex constraintsFriedrichs' systemsparabolic-relaxed approximationunique constrained solution

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity ⋮ Hyperbolic structure for a simplified model of dynamical perfect plasticity

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• On the \(L^2\)-well posedness of an initial boundary value problem for the 3D linear elasticity
• Dissipative formulation of initial boundary value problems for Friedrichs’ systems
• Weak solutions to Friedrichs systems with convex constraints
• Symmetric positive linear differential equations
• Evolution problems for a class of dissipative materials
• A Global Existence and Uniqueness Theorem for a Model Problem in Dynamic Elasto-Plasticity with Isotropic Strain-Hardening
• Proximité et dualité dans un espace hilbertien
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