The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathemat.
Contents
Lectures on dynamics in models of coarsening and coagulation / Robert L. Pego -- Quantized vortices in superfluids : a mathematical and computational study / Qiang Du -- The nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics / Weizhu Bao -- Introduction to constitutive modeling of macromolecular fluids / Qi Wang.
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