Global weak solutions for systems of balance laws

DOI10.1016/S0893-9659(99)00090-7zbMath0952.35071OpenAlexW2027496187MaRDI QIDQ1808444

Debora Amadori, Graziano Guerra

Publication date: 11 January 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00090-7

zbMATH Keywords

initial data has small total variationsolutions in BV

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (20)

On Hyperbolic Balance Laws and Applications ⋮ Solutions for a hyperbolic model of multi-phase flow ⋮ Existence of global BV solutions to a model of reacting Euler fluid with variable thermodynamics parameters ⋮ BV solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel ⋮ The dissipative property of the first order \(2\times 2\) hyperbolic system with constant coefficients ⋮ BV weak solutions to Gauss-Codazzi system for isometric immersions ⋮ Systems of hyperbolic conservation laws with a resonant moving source ⋮ A version of the Glimm method based on generalized Riemann problems ⋮ Global BV solutions to a \(p\)-system with relaxation ⋮ ON A CLASS OF HYPERBOLIC BALANCE LAWS ⋮ Global BV entropy solutions to the Gauss-Codazzi system ⋮ Sharp decay estimates for hyperbolic balance laws ⋮ HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION ⋮ Stability and uniqueness of global solutions to Euler equations with exothermic reaction ⋮ Uniqueness and Sharp Estimates on Solutions to Hyperbolic Systems with Dissipative Source ⋮ Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods ⋮ The relative entropy method for inhomogeneous systems of balance laws ⋮ Uniqueness and continuous dependence for systems of balance laws with dissipation ⋮ Periodic BV solutions of hyperbolic balance laws with dissipative source ⋮ Hyperbolic systems of balance laws via vanishing viscosity

Cites Work

• Repelling conditions for boundary sets using Liapunov-like functions. I: Flow-invariance, terminal value problem and weak persistence
• Quasilinear hyperbolic systems
• Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems)
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
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