Local and global interaction for nongenuinely nonlinear hyperbolic conservation laws

DOI10.1512/iumj.2000.49.1701zbMath0974.65084OpenAlexW2042638773MaRDI QIDQ2710415

I.-Liang Chern

Publication date: 29 November 2001

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

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1701

zbMATH Keywords

convergenceRiemann problemhyperbolic conservation lawswave interactionsGlimm schemenonlinear hyperbolic systemsnongenuinely nonlinear systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions ⋮ An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws ⋮ Decay estimation in nonlinear hyperbolic system of conservation laws ⋮ Decay estimate for a new measure of rarefaction waves in general systems of conservation laws

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