CONVERGENCE OF A RELAXATION APPROXIMATION TO A BOUNDARY VALUE PROBLEM FOR CONSERVATION LAWS
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Publication:2769487
DOI10.1081/PDE-100106133zbMath0994.35085WikidataQ57777017 ScholiaQ57777017MaRDI QIDQ2769487
Roberto Natalini, Andrea Terracina
Publication date: 25 September 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Numerical solutions to equations with nonlinear operators (65J15) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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Cites Work
- Unnamed Item
- A kinetic equation with kinetic entropy functions for scalar conservation laws
- Hyperbolic conservation laws with relaxation
- A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- Boundary conditions for scalar conservation laws from a kinetic point of view
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- The initial boundary value problems for hyperbolic conservation laws with relaxation
- On the Barenblatt model for non-equilibrium two-phase flow in porous media
- Convergence of the relaxation approximation to a scalar nonlinear hyperbolic equation arising in chromatography
- On the Rate of Convergence to Equilibrium for a System of Conservation Laws with a Relaxation Term
- First order quasilinear equations with boundary conditions
- Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
- Contractive relaxation systems and the scalar multidimensional conservation law
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Comparison properties for scalar conservation laws with boundary conditions
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