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Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics

This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to...

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Detalles Bibliográficos
Autor principal: Colombeau, Jean François
Lenguaje:eng
Publicado: Springer 1992
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0088952
http://cds.cern.ch/record/1691530
Descripción
Sumario:This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).