東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Evolution equations of von Karman type

Cherrier, Pascal.

Linked to FindBook

Google Book

Amazon

博客來

Evolution equations of von Karman type

Record Type:	Electronic resources : Monograph/item
Title/Author:	Evolution equations of von Karman type/ by Pascal Cherrier, Albert Milani.
Author:	Cherrier, Pascal.
other author:	Milani, Albert.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xvi, 140 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Von Karman equations. -
Online resource:	http://dx.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. - Cham :Springer International Publishing :2015. - xvi, 140 p. :ill., digital ;24 cm. - Lecture notes of the Unione Matematica Italiana,171862-9113 ;. - Lecture notes of the Unione Matematica Italiana ;10..

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:

1086592
Von Karman equations.

LC Class. No.: QA377.3 / .C44 2015

Dewey Class. No.: 515.353

Evolution equations of von Karman type
LDR:02168nmm a2200313 a 4500 001 2013510
003 DE-He213
005 20160413154634.0
006 m d
007 cr nn 008maaau
008 160518s2015 gw s 0 eng d
020 $a 9783319209975 $q (electronic bk.)
020 $a 9783319209968 $q (paper)
024 7 $a 10.1007/978-3-319-20997-5 $2 doi
035 $a 978-3-319-20997-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377.3 $b .C44 2015
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA377.3 $b .C522 2015
100 1 $a Cherrier, Pascal. $3 2162962
245 1 0 $a Evolution equations of von Karman type $h [electronic resource] / $c by Pascal Cherrier, Albert Milani.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvi, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes of the Unione Matematica Italiana, $x 1862-9113 ; $v 17
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 Von Karman equations. $3 1086592
650 0 $a Evolution equations. $3 663081
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Milani, Albert. $3 2162963
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes of the Unione Matematica Italiana ; $v 10. $3 1535986
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-20997-5
950 $a Mathematics and Statistics (Springer-11649)