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BV solutions for a class of viscous hyperbolic systems

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Publication:2733836
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DOI10.1512/iumj.2000.49.1776zbMath0988.35109OpenAlexW1999008076MaRDI QIDQ2733836

Stefano Bianchini, Alberto Bressan

Publication date: 12 August 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3e443b87c0bafcbe393e90e704fa431d5e3bd201

zbMATH Keywords

small viscositystricly hyperbolic system


Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65)


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BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws, Godunov-type approximation for a general resonant balance law with large data., A Glimm type functional for a special Jin-Xin relaxation model, The boundary Riemann solver coming from the real vanishing viscosity approximation, Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations, Hyperbolic systems of balance laws via vanishing viscosity



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