DC Field | Value | Language |
---|---|---|
dc.contributor.author | 권오성 | en_US |
dc.date.accessioned | 2014-12-01T11:48:31Z | - |
dc.date.available | 2014-12-01T11:48:31Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.other | OAK-2014-01277 | en_US |
dc.identifier.uri | http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000001557054 | en_US |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/1779 | - |
dc.description | Doctor | en_US |
dc.description.abstract | In this dissertation we study incompressible or compressible viscous Navier-Stokes equations. For incompressible Navier-Stokes equations we use a planedomain with non-convex corners and assign the non-standard boundary conditions on its boundaries. We construct the corner singularity functions for the Stokes operator with zero vorticity and velocity normal componentboundary conditions, subtract the corner singularities from the solution and show increased regularity for the remainder. For compressible viscous Navier-Stokes equations we use a finite non-convex polyhedral cylinder in R^3 and assign the Dirichlet boundary conditions on its boundaries. We split the edge singularity from the velocity solution and show the H^{2,q}xH^{1,q}-regularityfor the velocity remainder and the pressure where 3 < q < 1/(1-π/β) and β is the angle of the edge. The edge flux coefficient is well-defined in H^{2/q'-π/β,q}(-1,1) and the pressure singularity is propagated along the streamline and its derivatives blow up across the streamlines. | en_US |
dc.language | eng | en_US |
dc.publisher | 포항공과대학교 | en_US |
dc.rights | BY_NC_ND | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/kr | en_US |
dc.title | Regularities of the Navier-Stokes equations for incompressible or compressible viscous flows on bounded singular domains | en_US |
dc.title.alternative | 특이성을 가진 유한영역에서 비압축 또는 압축 점성 유동에 대한 나비어-스톡스 방정식의 정칙성 | en_US |
dc.type | Thesis | en_US |
dc.contributor.college | 일반대학원 수학과 | en_US |
dc.date.degree | 2013- 2 | en_US |
dc.contributor.department | 포항공과대학교 | en_US |
dc.type.docType | Thesis | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
library@postech.ac.kr Tel: 054-279-2548
Copyrights © by 2017 Pohang University of Science ad Technology All right reserved.