The semigroup generated by a Temple class system with large data

zbMath0890.35083MaRDI QIDQ1386261

Alberto Bressan, Paolo Baiti

Publication date: 17 May 1998

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

conservation lawsweak solutionscoinciding shock and rarefaction curvesRiemann invariants

Mathematics Subject Classification ID

Related Items (25)

Quadratic interaction estimate for hyperbolic conservation laws: an overview ⋮ On the initial boundary value problem for Temple systems ⋮ Uniqueness for discontinuous ODE and conservation laws ⋮ Existence and Uniqueness Results for the Continuity Equation and Applications to the Chromatography System ⋮ Wave front tracking in systems of conservation laws. ⋮ Global solutions of the perturbed Riemann problem for the chromatography equations ⋮ On the Cauchy problem for Aw-Rascle system with linear damping ⋮ Continuous dependence for \(2 \times 2\) conservation laws with boundary ⋮ One-dimensional nonlinear chromatography system and delta-shock waves ⋮ \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ The initial boundary value problem for second order traffic flow models with vacuum: existence of entropy weak solutions ⋮ Temple system on networks ⋮ The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model ⋮ Delta shock wave for the Suliciu relaxation system ⋮ Well-posedness for a scalar conservation law with singular nonconservative source ⋮ Wave interactions and stability of the Riemann solutions for the chromatography equations ⋮ On the stability of the standard Riemann semigroup ⋮ Interactions of elementary waves for the nonlinear chromatography equations ⋮ Traffic flow modelling with junctions ⋮ Existence of nonclassical solutions in a pedestrian flow model ⋮ A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data ⋮ Well posedness of balance laws with boundary ⋮ On the Riemann Problem for a Hyperbolic System of Temple Class ⋮ A \(2\times 2\) hyperbolic traffic flow model

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