Lectures on Nonlinear Waves And Shocks
by Cathleen S. Morawetz
Publisher: Tata Institute Of Fundamental Research 1981
Number of pages: 126
Lecture notes on introduction to certain aspects of gas dynamics concentrating on some of the currently most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
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by A. Pankov - Vinnitsa State Pedagogical University
Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.
by Ganesh Prasad - Patna University
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.
by Leonard Susskind - arXiv.org
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...
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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 existence results will be studied in the second chapter.