Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.

DOI10.2140/pjm.2003.210.165zbMath1059.35122OpenAlexW2081728020MaRDI QIDQ1880053

Jean-André Marti

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.210.165

zbMATH Keywords

self-similarityBurgers equationgeneralized functionsgeneralized \(\delta\)-shocksheaf of differential algebras

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Distributions, generalized functions, distribution spaces (46F99) Propagation of singularities; initial value problems on manifolds (58J47)

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