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Elliptic–Hyperbolic Partial Differential Equations: A Mini-Course in Geometric and Quasilinear Methods - Couverture souple

 
9783319197609: Elliptic–Hyperbolic Partial Differential Equations: A Mini-Course in Geometric and Quasilinear Methods

Synopsis

This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example:

- The heating of fusion plasmas by electromagnetic waves
- The behaviour of light near a caustic
- Extremal surfaces in the space of special relativity
- The formation of rapids; transonic and multiphase fluid flow
- The dynamics of certain models for elastic structures
- The shape of industrial surfaces such as windshields and airfoils
- Pathologies of traffic flow
- Harmonic fields in extended projective space

They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications.

Elliptic-Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

The author's research includes contributions to the mathematical theory of plasma heating in tokamaks, elliptic-hyperbolic extensions of nonlinear Hodge theory and partial differential equations in extended projective space. He is the author of the text, The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type (2012), published by Springer Berlin Heidelberg.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Thomas H. Otway
ISBN 10 : 3319197606 ISBN 13 : 9783319197609
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Studies concrete examples in detail, to illustrate a wide variety of methodsBegins from basic material, introducing mixed-type problems in different applicationsProvides a grand view of mixed-type equations, from basic materials to recent p. N° de réf. du vendeur 31549214

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Thomas H. Otway
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: - The heating of fusion plasmas by electromagnetic waves- The behaviour of light near a caustic- Extremal surfaces in the space of special relativity - The formation of rapids; transonic and multiphase fluid flow - The dynamics of certain models for elastic structures- The shape of industrial surfaces such as windshields and airfoils - Pathologies of traffic flow - Harmonic fields in extended projective space They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications. Elliptic-Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form. N° de réf. du vendeur 9783319197609

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Thomas H. Otway
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: - The heating of fusion plasmas by electromagnetic waves- The behaviour of light near a caustic- Extremal surfaces in the space of special relativity - The formation of rapids; transonic and multiphase fluid flow - The dynamics of certain models for elastic structures- The shape of industrial surfaces such as windshields and airfoils - Pathologies of traffic flow - Harmonic fields in extended projective space They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications. Elliptic-Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form. 140 pp. Englisch. N° de réf. du vendeur 9783319197609

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Taschenbuch. Etat : Neu. Neuware -This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example:¿ The heating of fusion plasmas by electromagnetic waves¿ The behaviour of light near a caustic¿ Extremal surfaces in the space of special relativity¿ The formation of rapids; transonic and multiphase fluid flow¿ The dynamics of certain models for elastic structures¿ The shape of industrial surfaces such as windshields and airfoils¿ Pathologies of traffic flow¿ Harmonic fields in extended projective spaceThey also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications.Elliptic¿Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 140 pp. Englisch. N° de réf. du vendeur 9783319197609

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