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Table of Contents
Foreword ......................................................... V
Introduction ...................................................... 1
1 Kinetic Equations: From Newton to Boltzmann .................... 5
2 The Navier–Stokes and Euler Equations –
Fluid and Gas Dynamics ........................................ 21
3 Granular Material Flows (with G. Toscani) ......................... 37
4 Chemotactic Cell Motion and Biological Pattern Formation
(with D. Ölz) ................................................... 55
5 Semiconductor Modeling....................................... 73
6 Free Boundary Problems and Phase Transitions ................... 87
7 Reaction-Diffusion Equations –
Homogeneous and Heterogeneous Environments ................. 109
8 Optimal Transportation
and Monge–Ampère Equations ................................. 129
9 Wave Equations ............................................... 149
10 Digital Image Processing and Analysis –
PDEs and Variational Tools ...................................... 167
11 Socio-Economic Modeling (with G. Toscani) ....................... 185
