On the existence of shock fronts for a Burgers equation with a singular source term

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-1476(199808)21:12<1107::AID-MMA987>3.0.CO;2-2" /><1107::AID-MMA987>3.0.CO;2-2 10.1002/(SICI)1099-1476(199808)21:12<1107::AID-MMA987>3.0.CO;2-2zbMath0911.35102OpenAlexW2085164581MaRDI QIDQ4213526

M. S. Figueira, João-Paulo Dias, Luís Sanchez

Publication date: 29 November 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199808)21:12<1107::aid-mma987>3.0.co;2-2

zbMATH Keywords

source termsBurgers' equationshock fronts

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items (2)

Detonation wave solutions to the scalar combustion models with a singular source term ⋮ On Radially Symmetric Solutions to Conservation Laws

Cites Work

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• First order quasilinear equations with boundary conditions
• Hyperbolic systems of conservation laws II
• Existence of Solutions to Singular Conservation Laws
• Explicit formula for scalar non‐linear conservation laws with boundary condition

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