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 Sergiu I. Vacaru - arXiv
The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces.
by Laszlo Erdos - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
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The reason for my choosing the partial differential equations as the subject for these lectures is my wish to inspire in my audience a love for Mathematics. I give a brief historical account of the application of Mathematics to natural phenomena.