Applied Partial Differential Equations A Visual Approach

This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and t...

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Bibliographic Details
Main Author: Markowich, Peter
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2007, 2007
Edition:1st ed. 2007
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Kinetic Equations: From Newton to Boltzmann
  • The Navier-Stokes and Euler Equations — Fluid and Gas Dynamics
  • Granular Material Flows
  • Chemotactic Cell Motion and Biological Pattern Formation
  • Semiconductor Modeling
  • Free Boundary Problems and Phase Transitions
  • Reaction-Diffusion Equations — Homogeneous and Heterogeneous Environments
  • Optimal Transportation and Monge-Ampère Equations
  • Wave Equations
  • Digital Image Processing and Analysis — PDEs and Variational Tools
  • Socio-Economic Modeling