Geometric singularities for solutions of single conservation laws

DOI10.1007/s002050050053zbMath0907.35082OpenAlexW1978050550MaRDI QIDQ1374719

Georgios T. Kossioris, Shyuichi Izumiya

Publication date: 10 December 1997

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/68957

zbMATH Keywords

characteristic methodappearance of singularities in finite time

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items

Characteristic vector fields for first order partial differential equations ⋮ Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems ⋮ Using \(K\)-branch entropy solutions for multivalued geometric optics computations ⋮ The theory of graph-like Legendrian unfoldings and its applications ⋮ Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. II: Impurities, confinement and Bloch oscillations ⋮ Shock wave formation process for a multidimensional scalar conservation law