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Applied Partial Differential Equations A Visual Approach A Visual Approach~tqw~ darksiderg

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Applied Partial Differential Equations: A Visual Approach: A Visual Approach
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Type.................: Ebook
Part Size............: 16,912,303 bytes




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Posted by............: ~tqw~

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Release Notes
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This book presents selected topics in science and engineering from an
applied-mathematics point of view. The described natural, socio-economic, and
engineering phenomena are modeled by partial differential equations that relate
state variables such as mass, velocity and energy to their spatial and temporal
variations. Typically, these equations are highly nonlinear; in many cases they
are systems, and they represent challenges even for the most modern and
sophisticated mathematical and numerical-analytic techniques.

The selected topics reflect the longtime scientific interests of the author.
They include flows of fluids and gases, granular-material flows, biological
processes such as pattern formation on animal skins, kinetics of rarified gases,
free boundaries, semiconductor devices, and socio-economic processes. Each topic
is briefly introduced in its scientific or engineering context, followed by a
presentation of the mathematical models in the form of partial differential
equations with a discussion of their basic mathematical properties. The author
illustrates each chapter by a series of his own high-quality photographs, which
demonstrate that partial differential equations are powerful tools for modeling
a large variety of phenomena influencing our daily lives.

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

Product Details

* ISBN: 3540346457
* ISBN-13: 9783540346456
* Format: Hardcover, 206pp
* Publisher: Springer-Verlag New York, LLC
* Pub. Date: September 2006

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