Exact solution of a system of generalized Hopf equations

DOI10.4171/ZAA/1101zbMath1011.35092MaRDI QIDQ1848660

K. T. Joseph

Publication date: 26 May 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Colombeau algebraHopf-Cole transformationVolpert productexplicit formula for the solutionsinitial Riemann data

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items

Large time behaviour of solutions of a system of generalized Burgers equation

Cites Work

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• Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
• Generalized solutions to Burgers' equation
• Generalized solutions to Cauchy problems
• Generalized solutions to a Cauchy problem for a nonconservative hyperbolic system
• Definition and weak stability of nonconservative products
• Hyperbolic systems of conservation laws II
• The partial differential equation u_t + uu_x = μ_xx
• Hopf-Cole transformation to some systems of partial differential equations