The main physical examples examined in the 6 volumes are presented in Chapter 1: Classical Fluids and the Navier-Stokes System, Linear Elasticity, Linear...
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Résumé
The main physical examples examined in the 6 volumes are presented in Chapter 1: Classical Fluids and the Navier-Stokes System, Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equations, Neutronics, and Quantum Physics.
Then a first examination of the mathematical models is given.
Chapter II is devoted to the study of the Laplacian operator by methods using only classical tools.
Sommaire
PHYSICAL EXAMPLES
THE PHYSICAL MODELS
Classical Fluids and the Navier-Stokes System
Linear Elasticity
Linear Viscoelasticity
Electromagnetism and Maxwell's Equations
Neutronics
Equations of Transport and Diffusion
Quantum Physics
Indicial Calculus
Elementary Techniques of the Tensor Calculus
Notation, Language and Conventions in Mechanics
Ideas Concerning the Principle of Virtual Power
FIRST EXAMINATION OF THE MATHEMATICAL MODELS
The Principal Types of Linear Partial Differential Equations Seen in Chapter IA
Global Constraints Imposed on the Solutions of a Problem: Inclusion in a Function Space; Boundary Conditions; Initial Conditions
THE LAPLACE OPERATOR
Harmonic Functions
Newtonian Potentials
Classical Theory of Dirichlet's Problem
Capacities
Regularity
Other Methods of Solution of the Dirichlet Problem
MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 1, Physical Origins and Classical Methods est également présent dans les rayons