國立虎尾科技大學 |

Dynamics of partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dynamics of partial differential equations/ by C. Eugene Wayne, Michael I. Weinstein.
作者:	Wayne, C. Eugene.
其他作者:	Weinstein, Michael I.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	x, 79 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differential equations, Partial. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-19935-1
ISBN:	9783319199351

Dynamics of partial differential equations
Wayne, C. Eugene.

Dynamics of partial differential equations[electronic resource] /by C. Eugene Wayne, Michael I. Weinstein. - Cham :Springer International Publishing :2015. - x, 79 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems: reviews and tutorials,v.32364-4532 ;. - Frontiers in applied dynamical systems: reviews and tutorials ;v.3..

This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions evolve towards stable vortices. Weinstein considers the dynamics of localized states in nonlinear Schrodinger and Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent bifurcations results of solitary waves, their linear and nonlinear stability properties, and results about radiation damping where waves lose energy through radiation. The articles, written independently, are combined into one volume to showcase the tools of dynamical systems theory at work in explaining qualitative phenomena associated with two classes of partial differential equations with very different physical origins and mathematical properties.

ISBN: 9783319199351

Standard No.: 10.1007/978-3-319-19935-1doiSubjects--Topical Terms:

527784
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Dynamics of partial differential equations
LDR:02114nam a2200313 a 4500 001 837274
003 DE-He213
005 20160309134655.0
006 m d
007 cr nn 008maaau
008 160421s2015 gw s 0 eng d
020 $a 9783319199351 $q (electronic bk.)
020 $a 9783319199344 $q (paper)
024 7 $a 10.1007/978-3-319-19935-1 $2 doi
035 $a 978-3-319-19935-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .W359 2015
100 1 $a Wayne, C. Eugene. $3 1067987
245 1 0 $a Dynamics of partial differential equations $h [electronic resource] / $c by C. Eugene Wayne, Michael I. Weinstein.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a x, 79 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems: reviews and tutorials, $x 2364-4532 ; $v v.3
520 $a This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions evolve towards stable vortices. Weinstein considers the dynamics of localized states in nonlinear Schrodinger and Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent bifurcations results of solitary waves, their linear and nonlinear stability properties, and results about radiation damping where waves lose energy through radiation. The articles, written independently, are combined into one volume to showcase the tools of dynamical systems theory at work in explaining qualitative phenomena associated with two classes of partial differential equations with very different physical origins and mathematical properties.
650 0 $a Differential equations, Partial. $3 527784
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
700 1 $a Weinstein, Michael I. $3 1067988
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Frontiers in applied dynamical systems: reviews and tutorials ; $v v.3. $3 1067989
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19935-1
950 $a Mathematics and Statistics (Springer-11649)