Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Evolution Equations of von Karman Type
~
Milani, Albert.
Evolution Equations of von Karman Type
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Evolution Equations of von Karman Type/ by Pascal Cherrier, Albert Milani.
Author:
Cherrier, Pascal.
other author:
Milani, Albert.
Description:
XVI, 140 p.online resource. :
Contained By:
Springer Nature eBook
Subject:
Partial differential equations. -
Online resource:
https://doi.org/10.1007/978-3-319-20997-5
ISBN:
9783319209975
Evolution Equations of von Karman Type
Cherrier, Pascal.
Evolution Equations of von Karman Type
[electronic resource] /by Pascal Cherrier, Albert Milani. - 1st ed. 2015. - XVI, 140 p.online resource. - Lecture Notes of the Unione Matematica Italiana,171862-9113 ;. - Lecture Notes of the Unione Matematica Italiana,16.
Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1.
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.
ISBN: 9783319209975
Standard No.: 10.1007/978-3-319-20997-5doiSubjects--Topical Terms:
1102982
Partial differential equations.
LC Class. No.: QA370-380
Dewey Class. No.: 515.353
Evolution Equations of von Karman Type
LDR
:02635nam a22003975i 4500
001
966890
003
DE-He213
005
20200629130951.0
007
cr nn 008mamaa
008
201211s2015 gw | s |||| 0|eng d
020
$a
9783319209975
$9
978-3-319-20997-5
024
7
$a
10.1007/978-3-319-20997-5
$2
doi
035
$a
978-3-319-20997-5
050
4
$a
QA370-380
072
7
$a
PBKJ
$2
bicssc
072
7
$a
MAT007000
$2
bisacsh
072
7
$a
PBKJ
$2
thema
082
0 4
$a
515.353
$2
23
100
1
$a
Cherrier, Pascal.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1069843
245
1 0
$a
Evolution Equations of von Karman Type
$h
[electronic resource] /
$c
by Pascal Cherrier, Albert Milani.
250
$a
1st ed. 2015.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2015.
300
$a
XVI, 140 p.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Lecture Notes of the Unione Matematica Italiana,
$x
1862-9113 ;
$v
17
505
0
$a
Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1.
520
$a
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.
650
0
$a
Partial differential equations.
$3
1102982
650
0
$a
Physics.
$3
564049
650
0
$a
Differential geometry.
$3
882213
650
1 4
$a
Partial Differential Equations.
$3
671119
650
2 4
$a
Mathematical Methods in Physics.
$3
670749
650
2 4
$a
Differential Geometry.
$3
671118
700
1
$a
Milani, Albert.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1069844
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319209982
776
0 8
$i
Printed edition:
$z
9783319209968
830
0
$a
Lecture Notes of the Unione Matematica Italiana,
$x
1862-9113 ;
$v
16
$3
1253963
856
4 0
$u
https://doi.org/10.1007/978-3-319-20997-5
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login
Please sign in
User name
Password
Remember me on this computer
Cancel
Forgot your password?