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The Resource Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway

Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway

Label
Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods
Title
Elliptic-hyperbolic partial differential equations
Title remainder
a mini-course in geometric and quasilinear methods
Statement of responsibility
Thomas H. Otway
Creator
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Otway, Thomas H
Dewey number
515.3/533
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
SpringerBriefs in mathematics
http://library.link/vocab/subjectName
  • Differential equations, Elliptic
  • Differential equations, Hyperbolic
Label
Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- Overview of elliptic-hyperbolic PDE -- Hodograph and partial hodograph methods -- Boundary value problems -- Bäcklund transformations and Hodge-theoretic methods -- Natural focusing
Control code
908398138
Dimensions
24 cm
Extent
vii, 128 pages
Isbn
9783319197609
Lccn
2015941130
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)908398138
Label
Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- Overview of elliptic-hyperbolic PDE -- Hodograph and partial hodograph methods -- Boundary value problems -- Bäcklund transformations and Hodge-theoretic methods -- Natural focusing
Control code
908398138
Dimensions
24 cm
Extent
vii, 128 pages
Isbn
9783319197609
Lccn
2015941130
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)908398138

Library Locations

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      38.944491 -92.326012
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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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