Existence theory for nonclassical entropy solutions of scalar conservation laws

DOI10.1007/s00033-004-2055-xzbMath1082.35103OpenAlexW4298232918MaRDI QIDQ1764406

Benedetto Piccoli, Philippe G. LeFloch, Paolo Baiti

Publication date: 24 February 2005

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-004-2055-x

zbMATH Keywords

entropy solutionone space dimensionnonclassical shockwave front trackinggeneralized total variation

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

The mathematical theory of splitting-merging patterns in phase transition dynamics ⋮ Diminishing functionals for nonclassical entropy solutions selected by kinetic relations ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks

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