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The Resource Asymptotic stability of steady compressible fluids, Mariarosaria Padula

Asymptotic stability of steady compressible fluids, Mariarosaria Padula

Creator
Summary
This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intended for a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, which are independent of assumptions about the smallness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas are illustrated in the context of three different physical problems: (i) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be either impermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii) A heat-conducting, viscous polytropic gas
Language
eng
Work
Publication
Extent
1 online resource (xiv, 235 pages).
Contents
  • 1 Topics in Fluid Mechanics
  • 2 Topics in Stability
  • 3 Barotropic Fluids with Rigid Boundary
  • 4 Isothermal Fluids with Free Boundaries
  • 5 Polytropic Fluids with Rigid Boundary
Isbn
9783642211379
Instance
Label
Asymptotic stability of steady compressible fluids
Title
Asymptotic stability of steady compressible fluids
Statement of responsibility
Mariarosaria Padula
Creator
Subject
Language
eng
Summary
This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intended for a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, which are independent of assumptions about the smallness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas are illustrated in the context of three different physical problems: (i) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be either impermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii) A heat-conducting, viscous polytropic gas
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Padula, Mariarosaria
Dewey number
620.1/0640151
Index
index present
LC call number
QC152.5
LC item number
.P33 2011eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
2024
http://library.link/vocab/subjectName
  • Fluid dynamics
  • Compressibility
  • Stability
  • Compressibility
  • Fluid dynamics
  • Stability
Label
Asymptotic stability of steady compressible fluids, Mariarosaria Padula
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 223-229) and index
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
1 Topics in Fluid Mechanics -- 2 Topics in Stability -- 3 Barotropic Fluids with Rigid Boundary -- 4 Isothermal Fluids with Free Boundaries -- 5 Polytropic Fluids with Rigid Boundary
Control code
768427725
Dimensions
unknown
Extent
1 online resource (xiv, 235 pages).
File format
unknown
Form of item
online
Isbn
9783642211379
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)768427725
Label
Asymptotic stability of steady compressible fluids, Mariarosaria Padula
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 223-229) and index
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
1 Topics in Fluid Mechanics -- 2 Topics in Stability -- 3 Barotropic Fluids with Rigid Boundary -- 4 Isothermal Fluids with Free Boundaries -- 5 Polytropic Fluids with Rigid Boundary
Control code
768427725
Dimensions
unknown
Extent
1 online resource (xiv, 235 pages).
File format
unknown
Form of item
online
Isbn
9783642211379
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)768427725

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