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Applied Partial Differential Equations:: A Visual Approach

Autor Peter Markowich
en Limba Engleză Paperback – noi 2016

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Paperback (1) 35917 lei  38-44 zile
  Springer Berlin, Heidelberg – noi 2016 35917 lei  38-44 zile
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  Springer Berlin, Heidelberg – 14 dec 2006 38932 lei  38-44 zile

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Specificații

ISBN-13: 9783662518120
ISBN-10: 3662518120
Pagini: 216
Ilustrații: X, 206 p. 104 illus. in color.
Dimensiuni: 189 x 246 mm
Ediția:Softcover reprint of the original 1st ed. 2007
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Cuprins

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.

Notă biografică

Prof. Peter Markowich is the recipient of the Wittgenstein Award 2000, the highest ranking Austrian Science Prize.

Textul de pe ultima copertă

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 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 socioeconomic 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.

Caracteristici

Shows that partial differential equations model many aspects of our natural surroundings Beautiful photographs give a memorable and unique access to the different applications discussed in the book Addresses a broad audience: from mathematically oriented science-engineering students to scientists-engineers with a mathematical background Outstanding "coffee-table" book with non-trivial maths contents Includes supplementary material: sn.pub/extras