History-dependent scalar conservation laws
type: Item
instance of: scholarly article
title: History-dependent scalar conservation laws
zbMATH Open document ID: 0874.35072
author: Pierangelo Marcati
author: Bruno Rubino
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1997-06-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108409
review text: Summary: We study the global existence of weak solutions in \(L^p\) for a scalar conservation law with memory as a model equation in the theory of viscoelasticity. The key idea is to relate the theory of scalar conservation laws with memory and the linearly degenerate hyperbolic systems.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 1021770
zbMATH Keywords: compensated compactness
zbMATH Keywords: global existence of weak solutions
zbMATH Keywords: linearly degenerate hyperbolic systems
MaRDI profile type: Publication
cites work: Q4547057
cites work: Zero relaxation and dissipation limits for hyperbolic conservation laws
cites work: The study on application way of the compensated compactness theory
cites work: Development of singularities in the motion of materials with fading memory
cites work: Estimates for Conservation Laws with Little Viscosity
cites work: Q4204544
cites work: Energy methods for nonlinear hyperbolic volterra integrodifferential equations
cites work: Q3715492
cites work: The Cauchy problem in one-dimensional nonlinear viscoelasticity
cites work: Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics
cites work: Nonlinear waves for viscoelasticity with fading memory
cites work: A model for one-dimensional, nonlinear viscoelasticity
cites work: The one-dimensional Darcy's law as the limit of a compressible Euler flow
cites work: Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
cites work: Q3997763
cites work: Convergence of solution to nonlinear dispersive equations
Recommended article: Scalar Conservation Laws and Spatially Dependent Flux Functions
Recommended article: Multidimensional scalar conservation laws
Recommended article: Conservation laws of scaling-invariant field equations
Recommended article: Q4352915
Recommended article: Q4657272
Recommended article: Discrete and continuous scalar conservation laws
Recommended article: Hyperbolic Conservation Laws: Past, Present, Future
Recommended article: Q5190850
Recommended article: A Lagrangian approach to scalar conservation laws
Recommended article: Scalar conservation laws on moving hypersurfaces
description: scientific article; zbMATH DE number 1021770