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 Eric L. Michelsen - UCSD
This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.
by Vojkan Jaksic - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
by J.F. Carinena, J. de Lucas - arXiv
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
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The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes...