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
Genre
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
N$T
http://library.link/vocab/creatorName
Otway, Thomas H
Dewey number
515/.3533
Illustrations
illustrations
Index
no index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
  • Differential equations, Elliptic
  • Differential equations, Hyperbolic
  • MATHEMATICS
  • MATHEMATICS
  • Differential equations, Elliptic
  • Differential equations, Hyperbolic
  • Mathematical modelling
  • Differential calculus & equations
Label
Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19761-6
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
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 -- B ̈acklund transformations and Hodge-theoretic methods -- Natural focusing
Dimensions
unknown
Extent
1 online resource (vii, 128 pages)
File format
unknown
Form of item
online
Isbn
9783319197616
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-19761-6
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)913742475
  • (OCoLC)ocn913742475
Label
Elliptic-hyperbolic partial differential equations : a mini-course in geometric and quasilinear methods, Thomas H. Otway
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19761-6
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
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 -- B ̈acklund transformations and Hodge-theoretic methods -- Natural focusing
Dimensions
unknown
Extent
1 online resource (vii, 128 pages)
File format
unknown
Form of item
online
Isbn
9783319197616
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-19761-6
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)913742475
  • (OCoLC)ocn913742475

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