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Applied Partial Differential Equations:
A Visual Approach
Buch von Peter Markowich
Sprache: Englisch

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Beschreibung
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.
Über den Autor

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

Zusammenfassung

This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are also vectorial systems, and they represent a challenge even for the most modern and sophisticated mathematical-analytical and mathematical-numerical techniques. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in brief in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. Illustrated with photographs taken by the author.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
206 S.
104 farbige Illustr.
206 p. 104 illus. in color.
ISBN-13: 9783540346456
ISBN-10: 3540346457
Sprache: Englisch
Herstellernummer: 11761365
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Markowich, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Maße: 248 x 198 x 19 mm
Von/Mit: Peter Markowich
Erscheinungsdatum: 14.12.2006
Gewicht: 0,692 kg
Artikel-ID: 102158298
Über den Autor

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

Zusammenfassung

This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are also vectorial systems, and they represent a challenge even for the most modern and sophisticated mathematical-analytical and mathematical-numerical techniques. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in brief in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. Illustrated with photographs taken by the author.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
206 S.
104 farbige Illustr.
206 p. 104 illus. in color.
ISBN-13: 9783540346456
ISBN-10: 3540346457
Sprache: Englisch
Herstellernummer: 11761365
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Markowich, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Maße: 248 x 198 x 19 mm
Von/Mit: Peter Markowich
Erscheinungsdatum: 14.12.2006
Gewicht: 0,692 kg
Artikel-ID: 102158298
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