Applied Partial Differential Equations A Visual Approach /

• Main Author: Markowich, Peter A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Subjects: Mathematics.; Earth sciences.; Image processing.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Analysis.; Applications of Mathematics.; Partial Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Earth Sciences, general.; Image Processing and Computer Vision.

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...

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.