Dissipative formulation of initial boundary value problems for Friedrichs’ systems

DOI10.1080/03605302.2015.1103750zbMath1342.35171OpenAlexW2229915460MaRDI QIDQ2810593

Clément Mifsud, Nicolas Seguin, Bruno Després

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2015.1103750

zbMATH Keywords

constant coefficientsdissipative solutionshalf-spacenon-characteristic casesolutions with minimal regularity

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for first-order hyperbolic systems (35L50) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity ⋮ Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ Friedrichs systems in a Hilbert space framework: solvability and multiplicity ⋮ Short-time regularity for dynamic evolution problems in perfect plasticity ⋮ Complex Friedrichs systems and applications ⋮ Unnamed Item ⋮ Hyperbolic structure for a simplified model of dynamical perfect plasticity ⋮ On contact interactions realised as Friedrichs systems ⋮ Classification of classical Friedrichs differential operators: one-dimensional scalar case ⋮ Relaxation approximation of Friedrichs' systems under convex constraints

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• Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
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