Colombeau's theory and shock waves in a problem of hydrodynamics

DOI10.1007/BF02788840zbMath0807.35111OpenAlexW2022720142MaRDI QIDQ1317278

Jorge Aragona, Francisco Villarreal

Publication date: 1 March 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788840

zbMATH Keywords

shock wavesexistence of discontinuous solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05)

Related Items (5)

Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model ⋮ An approach to generalized holomorphic functions ⋮ Composition and invertibility for a class of generalized functions in the Colombeau's theory ⋮ Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data ⋮ A nonlinear theory of generalized functions

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• Formulae for high derivatives of composite functions

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