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On the Mixing of Incompressible Flow...

ProQuest Information and Learning Co.

On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport./
作者:	Leger, Flavien.
面頁冊數:	1 online resource (74 pages)
附註:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
Contained By:	Dissertation Abstracts International79-04B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9780355407020

On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport.
Leger, Flavien.

On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport. - 1 online resource (74 pages)

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In the first part of this thesis we consider mixing by incompressible flows. In 2003, Bressan stated a conjecture concerning a bound on the mixing achieved by the flow in terms of an L1 norm of the velocity field. Existing results in the literature use an Lp norm with p > 1. We introduce a new approach to prove such results. It recovers most of the existing results and offers new perspective on the problem. Our approach makes use of a recent harmonic analysis estimate from Seeger, Smart and Street.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355407020Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport.
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099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Leger, Flavien. $3 1180771
245 1 0 $a On the Mixing of Incompressible Flows and on The Geometry of Regularized Optimal Transport.
264 0 $c 2017
300 $a 1 online resource (74 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
500 $a Advisers: Nader Masmoudi; Alfred Galichon.
502 $a Thesis (Ph.D.) $c New York University $d 2017.
504 $a Includes bibliographical references
520 $a In the first part of this thesis we consider mixing by incompressible flows. In 2003, Bressan stated a conjecture concerning a bound on the mixing achieved by the flow in terms of an L1 norm of the velocity field. Existing results in the literature use an Lp norm with p > 1. We introduce a new approach to prove such results. It recovers most of the existing results and offers new perspective on the problem. Our approach makes use of a recent harmonic analysis estimate from Seeger, Smart and Street.
520 $a In the second part of the thesis we present new geometric intuition on dynamical versions of regularized optimal transport. We introduce two families of variational problems on Riemannian manifolds which contain analogues of the Schrodinger bridge problem and the Yasue problem. We also propose an analogue of the Hopf-Cole transformation in the geometric setting.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a New York University. $b Mathematics. $3 1180487
773 0 $t Dissertation Abstracts International $g 79-04B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10287505 $z click for full text (PQDT)

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