國立高雄大學圖資館 |

Language: English

Back

Vortex Sheets in Elastic Fluids.

Hu, Jilong.

Vortex Sheets in Elastic Fluids.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Vortex Sheets in Elastic Fluids.
Author:	Hu, Jilong.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:	160 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Notes:	Adviser: Dehua Wang.
Contained By:	Dissertation Abstracts International79-01B(E).
Subject:	Mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10645833
ISBN:	9780355190878

Vortex Sheets in Elastic Fluids.
Hu, Jilong.

Vortex Sheets in Elastic Fluids. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 160 p.

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

Thesis (Ph.D.)--University of Pittsburgh, 2017.

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.

ISBN: 9780355190878Subjects--Topical Terms:

184409
Mathematics.

Vortex Sheets in Elastic Fluids.
LDR:01914nmm a2200301 4500 001 523958
005 20180517120325.5
008 180709s2017 ||||||||||||||||| ||eng d
020 $a 9780355190878
035 $a (MiAaPQ)AAI10645833
035 $a AAI10645833
040 $a MiAaPQ $c MiAaPQ
100 1 $a Hu, Jilong. $3 795467
245 1 0 $a Vortex Sheets in Elastic Fluids.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 160 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
500 $a Adviser: Dehua Wang.
502 $a Thesis (Ph.D.)--University of Pittsburgh, 2017.
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.
590 $a School code: 0178.
650 4 $a Mathematics. $3 184409
650 4 $a Applied mathematics. $3 377601
690 $a 0405
690 $a 0364
710 2 $a University of Pittsburgh. $b Mathematics. $3 795468
773 0 $t Dissertation Abstracts International $g 79-01B(E).
790 $a 0178
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10645833