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Very Weak Solutions of the Stokes Pr...

ProQuest Information and Learning Co.

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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon./
Author:	Zhang, Le.
Description:	1 online resource (62 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
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. - 1 online resource (62 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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.

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

Mode of access: World Wide Web

ISBN: 9781369702491Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.
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020 $a 9781369702491
035 $a (MiAaPQ)AAI10266691
035 $a (MiAaPQ)indiana:14580
035 $a AAI10266691
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Zhang, Le. $3 1180678
245 1 0 $a Very Weak Solutions of the Stokes Problem and its Numerical Simulations in a Convex Polygon.
264 0 $c 2017
300 $a 1 online resource (62 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: 78-09(E), Section: B.
500 $a Adviser: Roger Temam.
502 $a Thesis (Ph.D.) $c Indiana University $d 2017.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Indiana University. $b Mathematics. $3 1180679
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10266691 $z click for full text (PQDT)

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