The Resource A free boundary gas dynamic model as a two-body field theory problem, by Michael Thomas Heitzman, (electronic resource)

A free boundary gas dynamic model as a two-body field theory problem, by Michael Thomas Heitzman, (electronic resource)

Label
A free boundary gas dynamic model as a two-body field theory problem
Title
A free boundary gas dynamic model as a two-body field theory problem
Statement of responsibility
by Michael Thomas Heitzman
Creator
Contributor
Thesis advisor
Subject
Genre
Language
eng
Summary
Motivated by the two-body problem in the classical field theories of electrodynamics and gravitation, in which finite propagation speeds lead to radiation reaction and runaway solutions, we develop a free boundary problem in gas dynamics to explore the motion of sources in a medium whose dynamics are governed by hyperbolic, wave-like equations arising from physical conservation laws. In our linearized acoustic model, the fields can be eliminated to yield functional differential equations for the motion of the sources--delay equations with an infinite dimensional state space. Expansion and truncation gives rise to runaway solutions, just as in the classical field theories. We illustrate a scheme for eliminating runaway solutions by reducing to a finite dimensional, globally attracting, invariant manifold on which effective equations of motion for the sources can be obtained. The effective equations of motion approximate the asymptotic behavior of solutions in the full space as they approach the manifold. We also treat the full nonlinear free boundary problem and show that unique classical solutions exist locally, for initial fields close enough to their constant steady state
Cataloging source
MUU
http://library.link/vocab/creatorName
Heitzman, Michael Thomas
Degree
Ph.D.
Dissertation year
2009 .
Granting institution
University of Missouri--Columbia
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorName
Chicone, Carmen Charles
http://library.link/vocab/subjectName
  • Two-body problem
  • Field theory (Physics)
  • Gas dynamics
  • Differential equations
Target audience
specialized
Label
A free boundary gas dynamic model as a two-body field theory problem, by Michael Thomas Heitzman, (electronic resource)
Instantiates
Publication
Note
  • Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010)
  • The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file
  • Dissertation advisor: Professor Carmen Chicone
  • Vita
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
607354672
Extent
1 online resource (v, 102 pages)
Form of item
electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)607354672
Label
A free boundary gas dynamic model as a two-body field theory problem, by Michael Thomas Heitzman, (electronic resource)
Publication
Note
  • Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010)
  • The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file
  • Dissertation advisor: Professor Carmen Chicone
  • Vita
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
607354672
Extent
1 online resource (v, 102 pages)
Form of item
electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)607354672

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