Elliptic-Hyperbolic Partial Differential Equations

Name: Elliptic-Hyperbolic Partial Differential Equations
Brand: Springer International Publishing AG
SKU: 9783319197609
Price: 271.62 RON
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A Mini-Course in Geometric and Quasilinear Methods

Autor: Thomas H. Otway

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Legare: Carte broșată

Editura: Springer International Publishing AG

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This text is a concise introduction to the partial differential equations which change from elliptic...

Informații despre carte

Autor

Thomas H. Otway

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2015

Pagini

128

EAN

9783319197609

ISBN

3319197606

Enbook ID

09296339

Editura

Springer International Publishing AG

Greutate

2488

Dimensiuni

155 x 235 x 7

Descriere completă

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.§

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Elliptic-Hyperbolic Partial Differential Equations

A Mini-Course in Geometric and Quasilinear Methods

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Descriere completă

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