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Three Courses on Partial Differential Equations (IRMA Lectures in Mathematics and Theoretical Physics, 4) - Softcover
Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations stemming from the applications for students and researchers with a basic background in this subject. Michel Chipot investigates equilibrium positions of several disks rolling on a wire. In particular, he discusses existence and uniqueness of, and the exact position for an equilibrium. Josselin Garnier considers problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. He shows in particular that if the different scales present in the problem can be separated, there exists a deterministic result. Otared Kavian is interested in so-called inverse problems, where one or several parameters of a partial differential equation need to be determined using, for example, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This lecture answers this question in different settings.
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About the Author:
Eric Sonnendrücker is Professor at the Université Louis Pasteur in Strasbourg, France.
Michel Chipot is Professor at the Mathematics Institute of the University of Zurich, Suisse.
Josselin Garnier is Professor at the Université Paul Sabatier of Toulouse, France.
Otared Kavian is Professor atthe Applied Mathematics Laboratorium of the University of Versailles, France.
"About this title" may belong to another edition of this title.
- PublisherDe Gruyter
- Publication date2003
- ISBN 10 311017958X
- ISBN 13 9783110179583
- BindingPerfect Paperback
- Edition number1
- Number of pages168
- EditorSonnendrücker Eric
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Three Courses on Partial Differential Equations (Irma Lectures in Mathematics and Theoretical Physics) [Paperback ]
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot (Zurich) is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed. The second course by Josselin Garnier (Toulouse) deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result. The third course by Otared Kavian (Versailles St.-Quentin) is devoted to so-called inverse problems where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings. The text is addressed to students and researchers with a basic background in partial differential equations. 172 pp. Englisch. Seller Inventory # 9783110179583
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Three Courses on Partial Differential Equations (IRMA Lectures in Mathematics and Theoretical Physics, 4)
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot (Zurich) is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed. The second course by Josselin Garnier (Toulouse) deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result. The third course by Otared Kavian (Versailles St.-Quentin) is devoted to so-called inverse problems where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings. The text is addressed to students and researchers with a basic background in partial differential equations. Seller Inventory # 9783110179583
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