國立虎尾科技大學 |

Stochastic partial differential equations in fluid mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stochastic partial differential equations in fluid mechanics/ by Franco Flandoli, Eliseo Luongo.
作者:	Flandoli, Franco.
其他作者:	Luongo, Eliseo.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	viii, 199 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Functional Analysis. -
電子資源:	https://doi.org/10.1007/978-981-99-0385-6
ISBN:	9789819903856

Stochastic partial differential equations in fluid mechanics
Flandoli, Franco.

Stochastic partial differential equations in fluid mechanics[electronic resource] /by Franco Flandoli, Eliseo Luongo. - Singapore :Springer Nature Singapore :2023. - viii, 199 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23281617-9692 ;. - Lecture notes in mathematics,v. 2328..

Chapter -- 1 The Navier-Stokes Equations with Deterministic Rough Force, Chapter -- 2 Stochastic Navier-Stokes Equations and State-Dependent Noise, Chapter -- 3 Transport Noise in the Heat Equation, Chapter -- 4 Transport Noise in the Navier-Stokes Equations, Chapter -- 5 From Small-Scale Turbulence to Eddy Viscosity and Dissipation.

This book is devoted to stochastic Navier-Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid.

ISBN: 9789819903856

Standard No.: 10.1007/978-981-99-0385-6doiSubjects--Topical Terms:

672166
Functional Analysis.

LC Class. No.: QA901

Dewey Class. No.: 532

Stochastic partial differential equations in fluid mechanics
LDR:02426nam a2200337 a 4500 001 1106032
003 DE-He213
005 20230611230047.0
006 m d
007 cr nn 008maaau
008 231013s2023 si s 0 eng d
020 $a 9789819903856 $q (electronic bk.)
020 $a 9789819903870 $q (paper)
024 7 $a 10.1007/978-981-99-0385-6 $2 doi
035 $a 978-981-99-0385-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA901
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 532 $2 23
090 $a QA901 $b .F584 2023
100 1 $a Flandoli, Franco. $3 785442
245 1 0 $a Stochastic partial differential equations in fluid mechanics $h [electronic resource] / $c by Franco Flandoli, Eliseo Luongo.
260 $a Singapore : $c 2023. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a viii, 199 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2328
505 0 $a Chapter -- 1 The Navier-Stokes Equations with Deterministic Rough Force, Chapter -- 2 Stochastic Navier-Stokes Equations and State-Dependent Noise, Chapter -- 3 Transport Noise in the Heat Equation, Chapter -- 4 Transport Noise in the Navier-Stokes Equations, Chapter -- 5 From Small-Scale Turbulence to Eddy Viscosity and Dissipation.
520 $a This book is devoted to stochastic Navier-Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid.
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Stochastic Analysis. $3 1388640
650 1 4 $a Differential Equations. $3 681826
650 0 $a Navier-Stokes equations. $3 528180
650 0 $a Stochastic partial differential equations. $3 678164
650 0 $a Fluid mechanics. $3 555551
700 1 $a Luongo, Eliseo. $3 1415404
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics, $v v. 2328. $3 1415405
856 4 0 $u https://doi.org/10.1007/978-981-99-0385-6
950 $a Mathematics and Statistics (SpringerNature-11649)