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Steady States in Hydrodynamics /

Huang, Yupei,

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Steady States in Hydrodynamics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Steady States in Hydrodynamics // Yupei Huang.
作者:	Huang, Yupei,
面頁冊數:	1 electronic resource (92 pages)
附註:	Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
Contained By:	Dissertations Abstracts International86-11B.
標題:	Mathematics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31843990
ISBN:	9798315719960

Steady States in Hydrodynamics /
Huang, Yupei,

Steady States in Hydrodynamics /Yupei Huang. - 1 electronic resource (92 pages)

Source: Dissertations Abstracts International, Volume: 86-11, Section: B.

The purpose of this work is to understand the topological structures of the steady states of 2D incompressible Euler equation. In particular, we are interested in the rigidity and flexibility aspects of steady states. In the rigidity aspects, we want to study the topological behavior of the steady states in certain fine topologies. In the flexibility part, we want to construct certain steady states with distinct topological features near a given steady state. Our ultimate goal is to understand the global behavior of solutions of 2D incompressible Euler equations through steady states.

English

ISBN: 9798315719960Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

2D Euler

Steady States in Hydrodynamics /
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245 1 0 $a Steady States in Hydrodynamics / $c Yupei Huang.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2025
300 $a 1 electronic resource (92 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
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500 $a Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
500 $a Advisors: Elgindi, Tarek M. Committee members: Kiselev, Alexander A.; Liu, Jianguo; Witelski, Thomas P.
502 $b Ph.D. $c Duke University $d 2025.
520 $a The purpose of this work is to understand the topological structures of the steady states of 2D incompressible Euler equation. In particular, we are interested in the rigidity and flexibility aspects of steady states. In the rigidity aspects, we want to study the topological behavior of the steady states in certain fine topologies. In the flexibility part, we want to construct certain steady states with distinct topological features near a given steady state. Our ultimate goal is to understand the global behavior of solutions of 2D incompressible Euler equations through steady states.
546 $a English
590 $a School code: 0066
650 4 $a Mathematics. $3 515831
650 4 $a Applied mathematics. $3 2122814
650 4 $a Computational physics. $3 3343998
653 $a 2D Euler
653 $a Flexibility
653 $a Rigidity
653 $a Steady states
653 $a Hydrodynamics
690 $a 0405
690 $a 0216
690 $a 0364
710 2 $a Duke University. $b Mathematics. $e degree granting institution. $3 3822984
720 1 $a Elgindi, Tarek M. $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-11B.
790 $a 0066
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31843990