Heaviside generalized functions and shock waves for a Burger kind equation

DOI10.1080/10652460500438128zbMath1108.35025OpenAlexW2074084660MaRDI QIDQ5291812

Francisco Villarreal

Publication date: 22 May 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500438128

zbMATH Keywords

shock wave solutionsBurger equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• Composition and invertibility for a class of generalized functions in the Colombeau's theory
• The partial differential equation u_t + uu_x = μ_xx

This page was built for publication: Heaviside generalized functions and shock waves for a Burger kind equation