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Very Weak Solutions of the Stokes Pr...

Zhang, Le.

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Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon./
Author:	Zhang, Le.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	62 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10266691
ISBN:	9781369702491

Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.
Zhang, Le.

Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 62 p.

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)--Indiana University, 2017.

This dissertation is motivated by the study of the corner singularities in the cavity flow problem. In this case the discontinuities of boundary conditions produce singularities and vortices at the corners.

ISBN: 9781369702491Subjects--Topical Terms:

2122814
Applied mathematics.

Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.
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035 $a AAI10266691
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100 1 $a Zhang, Le. $3 1905376
245 1 0 $a Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 62 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Roger Temam.
502 $a Thesis (Ph.D.)--Indiana University, 2017.
520 $a This dissertation is motivated by the study of the corner singularities in the cavity flow problem. In this case the discontinuities of boundary conditions produce singularities and vortices at the corners.
520 $a In chapter 1, we introduce a new trace theorem and establish the existence and uniqueness of solutions in L2(O) 2 for the Stokes problem in a domain O, which is smooth or a convex polygon. The results are also extended to the linear evolutionary Stokes problem.
520 $a In Chapter 2, we apply a regularization method on the imposed boundary condition. and numerically simulate solutions to both the original and regularized Stokes problems. Hence we demonstrate the advantages of the regularization method.
590 $a School code: 0093.
650 4 $a Applied mathematics. $3 2122814
690 $a 0364
710 2 $a Indiana University. $b Mathematics. $3 1036206
773 0 $t Dissertation Abstracts International $g 78-09B(E).
790 $a 0093
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10266691