An overview on the approximation of boundary Riemann problems through physical viscosity

DOI10.1007/s00574-016-0127-0zbMath1347.35158OpenAlexW2333579144MaRDI QIDQ285325

Stefano Bianchini, Laura V. Spinolo

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0127-0

zbMATH Keywords

boundary Riemann problemmixed hyperbolic-parabolic systemssmall total variation regimes

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

On the Global Controllability of Scalar Conservation Laws with Boundary and Source Controls

Cites Work

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• Invariant manifolds for a singular ordinary differential equation
• Initial-boundary value problems for nonlinear systems of conservation laws
• On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
• The boundary Riemann solver coming from the real vanishing viscosity approximation
• Boundary conditions for nonlinear hyperbolic systems of conservation laws
• On the Riemann problem for non-conservative hyperbolic systems
• Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
• Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• Study of limit conditions for a strictly hyperbolic system via parabolic approximation
• Alternate Evans Functions and Viscous Shock Waves
• VANISHING VISCOSITY SOLUTIONS OF HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH BOUNDARY
• A UNIQUENESS CRITERION FOR VISCOUS LIMITS OF BOUNDARY RIEMANN PROBLEMS
• Hyperbolic systems of conservation laws II
• Invariant Manifolds for Viscous Profiles of a Class of Mixed Hyperbolic-Parabolic Systems
• Vanishing viscosity solutions of a 2 \times 2 triangular hyperbolic system with Dirichlet conditions on two boundaries
• Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
• The Riemann Problem for General 2 × 2 Conservation Laws
• Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws

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