Formation of Shocks for a Single Conservation Law

DOI10.1137/0519102zbMath0681.35057OpenAlexW1985224549MaRDI QIDQ4730174

Shizuo Nakane

Publication date: 1988

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

Full work available at URL: https://semanticscholar.org/paper/74afecd3193078a51fee6fd95be50afb672a1d2c

zbMATH Keywords

method of characteristicsstable manifoldentropy conditionsingularities of\(C^{\infty }\)- mappingsequation of scalar conservation law

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Representations of solutions to partial differential equations (35C99)

Related Items (11)

Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems ⋮ Characteristic vector fields for first order partial differential equations ⋮ Formation of singularities in one-dimensional Chaplygin gas ⋮ Unnamed Item ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ Formation and propagation of singularities in one-dimensional Chaplygin gas ⋮ Prolongation of classical solutions and singularities of generalized solutions ⋮ Shock wave formation process for a multidimensional scalar conservation law ⋮ Analysis of singularities for one-dimensional quasilinear hyperbolic systems ⋮ Formation of singularities for viscosity solutions of hamilton—jacobi equations in higher dimensions ⋮ Formation and construction of shock for \(p\)-system.

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