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Vortex Sheets in Elastic Fluids.

University of Pittsburgh.

Vortex Sheets in Elastic Fluids.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Vortex Sheets in Elastic Fluids./
作者:	Hu, Jilong.
面頁冊數:	1 online resource (160 pages)
附註:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9780355190878

Vortex Sheets in Elastic Fluids.
Hu, Jilong.

Vortex Sheets in Elastic Fluids. - 1 online resource (160 pages)

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

The stability and existence of compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary with extra difficulties that the boundary is characteristic and the Kreiss-Lopatinskii condition holds only in a weak sense. A necessary and sufficient condition is obtained for the linear stability of the rectilinear vortex sheets. More precisely, it is shown that, besides the stable supersonic zone, the elasticity exerts an additional stable subsonic zone. Moreover we also obtain the linear stability of the variable states and the local in time existence of the vortex sheets near the stable rectilinear vortex sheets.

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

Mode of access: World Wide Web

ISBN: 9780355190878Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Vortex Sheets in Elastic Fluids.
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006 m o u
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008 190606s2017 xx obm 000 0 eng d
020 $a 9780355190878
035 $a (MiAaPQ)AAI10645833
035 $a AAI10645833
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Hu, Jilong. $3 1182535
245 1 0 $a Vortex Sheets in Elastic Fluids.
264 0 $c 2017
300 $a 1 online resource (160 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: 79-01(E), Section: B.
500 $a Adviser: Dehua Wang.
502 $a Thesis (Ph.D.) $c University of Pittsburgh $d 2017.
504 $a Includes bibliographical references
520 $a The stability and existence of compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary with extra difficulties that the boundary is characteristic and the Kreiss-Lopatinskii condition holds only in a weak sense. A necessary and sufficient condition is obtained for the linear stability of the rectilinear vortex sheets. More precisely, it is shown that, besides the stable supersonic zone, the elasticity exerts an additional stable subsonic zone. Moreover we also obtain the linear stability of the variable states and the local in time existence of the vortex sheets near the stable rectilinear vortex sheets.
520 $a For the linear stability, we employ the Fourier transform and para-differential calculus to perform the spectrum analysis. Since only the weak Kreiss-Lopatinskii condition holds, the a priori estimates for the linearized system exhibit the loss of derivatives. Thus the existence of vortex sheets is proved by a suitable variation of Nash-Moser iteration scheme.
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
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Pittsburgh. $b Mathematics. $3 1180539
773 0 $t Dissertation Abstracts International $g 79-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10645833 $z click for full text (PQDT)

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