Viscosity solutions and standard Riemann semigroup for conservation laws with boundary

zbMath0910.35078MaRDI QIDQ1126557

Rinaldo M. Colombo, Debora Amadori

Publication date: 25 April 1999

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_1998__99__219_0

zbMATH Keywords

characteristic and noncharacteristic formulationviscosity solution with small total variation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (11)

On the initial boundary value problem for Temple systems ⋮ Wave front tracking in systems of conservation laws. ⋮ Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV ⋮ Continuous dependence for \(2 \times 2\) conservation laws with boundary ⋮ Global well posedness of traffic flow models with phase transitions ⋮ The Exact Boundary Controllability of Nodal Profile for Entropy Solutions to 1-D Quasilinear Hyperbolic Systems of Conservation Laws with Linearly Degenerate Negative (Resp., Positive) Characteristic Fields ⋮ Local Exact One-Sided Boundary Null Controllability of Entropy Solutions to a Class of Hyperbolic Systems of Balance Laws ⋮ The Aw-Rascle vehicular traffic flow model with phase transitions ⋮ One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws ⋮ The boundary Riemann solver coming from the real vanishing viscosity approximation ⋮ A mixed ODE–PDE model for vehicular traffic

Cites Work

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• Initial-boundary value problems for nonlinear systems of conservation laws
• Boundary conditions for nonlinear hyperbolic systems of conservation laws
• Global solutions of systems of conservation laws by wave-front tracking
• Glimm's method and initial- boundary value problem
• Continuous dependence for \(2 \times 2\) conservation laws with boundary
• The unique limit of the Glimm scheme
• The semigroup generated by \(2 \times 2\) conservation laws
• Hyperbolic systems of conservation laws II
• Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
• Unique solutions of 2 X 2 conservation laws with large data
• Solutions in the large for nonlinear hyperbolic systems of equations

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