ON A CLASS OF HYPERBOLIC BALANCE LAWS

DOI10.1142/S0219891604000317zbMath1066.35055OpenAlexW2042502609MaRDI QIDQ4657843

Rinaldo M. Colombo, Andrea Corli

Publication date: 14 March 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891604000317

zbMATH Keywords

rarefaction curvesshock curveswell-posedness in the large

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (12)

Global well posedness of traffic flow models with phase transitions ⋮ On the role of source terms in continuum traffic flow models ⋮ Temple system on networks ⋮ EXISTENCE OF SOLUTIONS FOR THE AW–RASCLE TRAFFIC FLOW MODEL WITH VACUUM ⋮ Well posedness for multilane traffic models ⋮ The Aw-Rascle vehicular traffic flow model with phase transitions ⋮ Kinetic part-feeding models for assembly lines in automotive industries ⋮ Hyperbolic Balance Laws with a Non Local Source ⋮ Existence of nonclassical solutions in a pedestrian flow model ⋮ Global Existence of Large BV Solutions in a Model of Granular Flow ⋮ Stability and uniqueness of global solutions to Euler equations with exothermic reaction ⋮ Well posedness of balance laws with boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
• Quasilinear hyperbolic systems
• Existence and uniqueness of solutions for some hyperbolic systems of conservation laws
• Uniqueness and continuous dependence for systems of balance laws with dissipation
• Global \textbf{BV} entropy solutions and uniqueness for hyperbolic systems of balance laws
• Global weak solutions for systems of balance laws
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• A semilinear structure on semigroups in a metric space
• The semigroup generated by \(2 \times 2\) conservation laws
• A Qualitative Model for Dynamic Combustion
• On Majda' Model For Dynamic Combustion
• BV solutions and relaxation limit for a model in viscoelasticity
• Continuous dependence in the large for some equations of gas dynamics

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