國立虎尾科技大學 |

Nonlinear Water Waves = An Interdisciplinary Interface /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear Water Waves / edited by David Henry, Konstantinos Kalimeris, Emilian I. Părău, Jean-Marc Vanden-Broeck, Erik Wahlén.
其他題名:	An Interdisciplinary Interface /
其他作者:	Henry, David.
面頁冊數:	X, 218 p. 53 illus., 32 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-33536-6
ISBN:	9783030335366

Nonlinear Water Waves = An Interdisciplinary Interface /
Nonlinear Water Waves An Interdisciplinary Interface /[electronic resource] :edited by David Henry, Konstantinos Kalimeris, Emilian I. Părău, Jean-Marc Vanden-Broeck, Erik Wahlén. - 1st ed. 2019. - X, 218 p. 53 illus., 32 illus. in color.online resource. - Tutorials, Schools, and Workshops in the Mathematical Sciences ,2522-0969. - Tutorials, Schools, and Workshops in the Mathematical Sciences ,.

Modeling Surface Waves Over Highly Variable Topographies -- Global Diffeomorphism of the Lagrangian Flow-Map for a Pollard-Like Internal Water Wave -- The Unified Transform and the Water Wave Problem -- HOS Simulations of Nonlinear Water Waves in Complex Media -- Stokes Waves in a Constant Vorticity Flow -- Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface -- Numerical Simulations of Overturned Traveling Waves -- A Model for the Periodic Water Wave Problem and Its Long Wave Amplitude Equations -- On Recent Numerical Methods for Steady Periodic Water Waves -- Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory -- Gravity-Capillary and Flexural-Gravity Solitary Waves -- A Method for Identifying Stability Regimes Using Roots of a Reduced-Order Polynomial.

The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.

ISBN: 9783030335366

Standard No.: 10.1007/978-3-030-33536-6doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Nonlinear Water Waves = An Interdisciplinary Interface /
LDR:03913nam a22004095i 4500 001 1013912
003 DE-He213
005 20200704213830.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030335366 $9 978-3-030-33536-6
024 7 $a 10.1007/978-3-030-33536-6 $2 doi
035 $a 978-3-030-33536-6
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
245 1 0 $a Nonlinear Water Waves $h [electronic resource] : $b An Interdisciplinary Interface / $c edited by David Henry, Konstantinos Kalimeris, Emilian I. Părău, Jean-Marc Vanden-Broeck, Erik Wahlén.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2019.
300 $a X, 218 p. 53 illus., 32 illus. in color. $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 Tutorials, Schools, and Workshops in the Mathematical Sciences , $x 2522-0969
505 0 $a Modeling Surface Waves Over Highly Variable Topographies -- Global Diffeomorphism of the Lagrangian Flow-Map for a Pollard-Like Internal Water Wave -- The Unified Transform and the Water Wave Problem -- HOS Simulations of Nonlinear Water Waves in Complex Media -- Stokes Waves in a Constant Vorticity Flow -- Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface -- Numerical Simulations of Overturned Traveling Waves -- A Model for the Periodic Water Wave Problem and Its Long Wave Amplitude Equations -- On Recent Numerical Methods for Steady Periodic Water Waves -- Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory -- Gravity-Capillary and Flexural-Gravity Solitary Waves -- A Method for Identifying Stability Regimes Using Roots of a Reduced-Order Polynomial.
520 $a The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.
650 0 $a Partial differential equations. $3 1102982
650 1 4 $a Partial Differential Equations. $3 671119
700 1 $a Henry, David. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1308161
700 1 $a Kalimeris, Konstantinos. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1308162
700 1 $a Părău, Emilian I. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1308163
700 1 $a Vanden-Broeck, Jean-Marc. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1308164
700 1 $a Wahlén, Erik. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1308165
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030335359
776 0 8 $i Printed edition: $z 9783030335373
776 0 8 $i Printed edition: $z 9783030335380
830 0 $a Tutorials, Schools, and Workshops in the Mathematical Sciences , $x 2522-0969 $3 1281052
856 4 0 $u https://doi.org/10.1007/978-3-030-33536-6
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)