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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Colombeau, Jean-François, 1947-...., mathématicien
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1532
Schlagworte:
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Edition sous un autre format:• Multiplication of distributions, a tool in mathematics, numerical engineering, and theoretical physics, Jean François Colombeau, 1992, Berlin, Springer-Verlag, 1 volume (X-183 pages), Lecture notes in mathematics, 3-540-56288-5
• Multiplication of Distributions, Texte imprimé, 9783662171585
Inhaltsangabe:
  • to generalized functions and distributions
  • Multiplications of distributions in classical physics
  • Elementary introduction
  • Jump formulas for systems in nonconservative form. New numerical methods
  • The case of several constitutive equations
  • Linear wave propagation in a medium with piecewise C? characteristics
  • The canonical Hamiltonian formalism of interacting quantum fields
  • The abstract theory of generalized functions.