Lectures on Three-Dimensional Elasticity
by P. G. Ciarlet
Publisher: Tata Institute of Fundamental Research 1983
Number of pages: 135
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and it will be seen that the equations of equilibrium can be obtained as the Euler equations starting from the energy functional. Existence results will be studied.
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by Mario Argeri, Pierpaolo Mastrolia - arXiv
The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.
by Max Lein - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
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The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.
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This set of lectures describes some of the basic concepts mainly from the angle of condensed matter / statistical mechanics, an area which provided an impressive list of nonlinearly governed phenomena over the last fifty years.