History-dependent scalar conservation laws

zbMath0874.35072MaRDI QIDQ1356832

Pierangelo Marcati, Bruno Rubino

Publication date: 16 June 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__96__195_0

zbMATH Keywords

compensated compactnessglobal existence of weak solutionslinearly degenerate hyperbolic systems

Mathematics Subject Classification ID

Heat equation (35K05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Dynamical problems in solid mechanics (74Hxx)

Cites Work

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• The one-dimensional Darcy's law as the limit of a compressible Euler flow
• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• Development of singularities in the motion of materials with fading memory
• Nonlinear waves for viscoelasticity with fading memory
• Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
• The study on application way of the compensated compactness theory
• Estimates for Conservation Laws with Little Viscosity
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• Convergence of solution to nonlinear dispersive equations
• Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics
• A model for one-dimensional, nonlinear viscoelasticity
• Zero relaxation and dissipation limits for hyperbolic conservation laws

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