The Resource Evolution Equations of von Karman Type, by Pascal Cherrier, Albert Milani, (electronic resource)

Evolution Equations of von Karman Type, by Pascal Cherrier, Albert Milani, (electronic resource)

Label
Evolution Equations of von Karman Type
Title
Evolution Equations of von Karman Type
Statement of responsibility
by Pascal Cherrier, Albert Milani
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional space. We establish local (respectively global) results for strong (resp., weak) solutions of these problems and corresponding well-posedness results in the Hadamard sense. Results are found by obtaining regularity estimates on solutions which are limits of a suitable Galerkin approximation scheme. The book is intended as a pedagogical introduction to a number of meaningful application of classical methods in nonlinear Partial Differential Equations of Evolution. The material is self-contained and most proofs are given in full detail. The interested reader will gain a deeper insight into the power of nontrivial a priori estimate methods in the qualitative study of nonlinear differential equations
Member of
http://library.link/vocab/creatorName
Cherrier, Pascal
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Milani, Albert.
  • SpringerLink
Series statement
Lecture Notes of the Unione Matematica Italiana,
Series volume
17
http://library.link/vocab/subjectName
  • Mathematics
  • Partial differential equations
  • Differential geometry
  • Physics
  • Mathematics
  • Partial Differential Equations
  • Mathematical Methods in Physics
  • Differential Geometry
Label
Evolution Equations of von Karman Type, by Pascal Cherrier, Albert Milani, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XVI, 140 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319209975
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-20997-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-20997-5
Label
Evolution Equations of von Karman Type, by Pascal Cherrier, Albert Milani, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XVI, 140 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319209975
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-20997-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-20997-5

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