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Evolution equations of von Karman type

Cherrier, Pascal.

Evolution equations of von Karman type

Record Type:	Electronic resources : Monograph/item
Title/Author:	Evolution equations of von Karman typeby 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$q(electronic bk.)

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 ;15..

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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-20997-5doiSubjects--Topical Terms:

485917
Von Karman equations.

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

Dewey Class. No.: 515.353

Evolution equations of von Karman type
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100 1 $a Cherrier, Pascal. $3 731729
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 485917
650 0 $a Evolution equations. $3 199049
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Differential Geometry. $3 273785
700 1 $a Milani, Albert. $3 731730
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950 $a Mathematics and Statistics (Springer-11649)