國立高雄大學圖資館 |

Language: English

Back

Prandtl equations and related boundary layer equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Prandtl equations and related boundary layer equationsby Yuming Qin, Xiaolei Dong, Xiuqing Wang.
Author:	Qin, Yuming.
other author:	Dong, Xiaolei.
Published:	Singapore :Springer Nature Singapore :2024.
Description:	x, 373 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Boundary layerMathematics.
Online resource:	https://doi.org/10.1007/978-981-97-4565-4
ISBN:	9789819745654$q(electronic bk.)

Prandtl equations and related boundary layer equations
Qin, Yuming.

Prandtl equations and related boundary layer equations[electronic resource] /by Yuming Qin, Xiaolei Dong, Xiuqing Wang. - Singapore :Springer Nature Singapore :2024. - x, 373 p. :ill., digital ;24 cm.

Preface -- Chapter 1. Survey on the Prandtls Equations and Related Boundary Layer Equations -- Chapter 2. Global Well-posedness of Solutions to the 2D Prandtl-Hartmann Equations in Analytic Framework -- Chapter 3. Local Existence of Solutions to the 2D Prandtl Equations in A Weighted Sobolev Space -- Chapter 4. Local Well-posedness of Solutions to the 2D Mixed Prandtl Equations in A Sobolev Space Without Monotonicity or Lower Bound -- Chapter 5. Local Well-posedness of Solutions to 2D Magnetic Prandtl Model in the Prandtl-Hartmann regime -- Chapter 6. Local Existence of Solutions to 3D Prandtl Equations with a Special Structure -- Bibliography.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure. Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.

ISBN: 9789819745654$q(electronic bk.)

Standard No.: 10.1007/978-981-97-4565-4doiSubjects--Topical Terms:

887041
Boundary layer
--Mathematics.

LC Class. No.: QA913

Dewey Class. No.: 532.051

Prandtl equations and related boundary layer equations
LDR:02816nmm a2200325 a 4500 001 673631
003 DE-He213
005 20241207115233.0
006 m d
007 cr nn 008maaau
008 250422s2024 si s 0 eng d
020 $a 9789819745654$q(electronic bk.)
020 $a 9789819745647$q(paper)
024 7 $a 10.1007/978-981-97-4565-4 $2 doi
035 $a 978-981-97-4565-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA913
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 532.051 $2 23
090 $a QA913 $b .Q1 2024
100 1 $a Qin, Yuming. $3 308825
245 1 0 $a Prandtl equations and related boundary layer equations $h [electronic resource] / $c by Yuming Qin, Xiaolei Dong, Xiuqing Wang.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
300 $a x, 373 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- Chapter 1. Survey on the Prandtls Equations and Related Boundary Layer Equations -- Chapter 2. Global Well-posedness of Solutions to the 2D Prandtl-Hartmann Equations in Analytic Framework -- Chapter 3. Local Existence of Solutions to the 2D Prandtl Equations in A Weighted Sobolev Space -- Chapter 4. Local Well-posedness of Solutions to the 2D Mixed Prandtl Equations in A Sobolev Space Without Monotonicity or Lower Bound -- Chapter 5. Local Well-posedness of Solutions to 2D Magnetic Prandtl Model in the Prandtl-Hartmann regime -- Chapter 6. Local Existence of Solutions to 3D Prandtl Equations with a Special Structure -- Bibliography.
520 $a This book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure. Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.
650 0 $a Boundary layer $x Mathematics. $3 887041
650 1 4 $a Mathematical Physics. $3 522725
650 2 4 $a Fluids. $3 205551
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Differential Equations. $3 285983
650 2 4 $a Integral Equations. $3 274836
700 1 $a Dong, Xiaolei. $3 987186
700 1 $a Wang, Xiuqing. $3 987187
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-97-4565-4
950 $a Physics and Astronomy (SpringerNature-11651)