Evolution of Discontinuity and Formation of Triple-Shock Pattern in Solutions to a Two-Dimensional Hyperbolic System of Conservation Laws

DOI10.1137/080726483zbMath1183.35227OpenAlexW1984506287WikidataQ57386463 ScholiaQ57386463MaRDI QIDQ5190225

Dehua Wang, Gui-Qiang G. Chen, Xiao-Zhou Yang

Publication date: 15 March 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e32fbc20b1f923d590c4f02f6bb590cb6d74f9c5

zbMATH Keywords

envelopeglobal structure of solutionstwo-dimensional conservation lawscharacteristic planesevolution of discontinuityformation of triple-shock pattern

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General aerodynamics and subsonic flows (76G25) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution ⋮ Construction of solutions of a two‐dimensional Riemann problem for a thin film model of a perfectly soluble antisurfactant solution ⋮ Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions ⋮ Envelope and classification of global structures of solutions for a class of two-dimensional conservation laws ⋮ Two-dimensional Riemann problem for a hyperbolic system of conservation laws in three pieces ⋮ Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

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