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dc.contributor.author권오성en_US
dc.date.accessioned2014-12-01T11:48:31Z-
dc.date.available2014-12-01T11:48:31Z-
dc.date.issued2013en_US
dc.identifier.otherOAK-2014-01277en_US
dc.identifier.urihttp://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000001557054en_US
dc.identifier.urihttp://oasis.postech.ac.kr/handle/2014.oak/1779-
dc.descriptionDoctoren_US
dc.description.abstractIn 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.languageengen_US
dc.publisher포항공과대학교en_US
dc.rightsBY_NC_NDen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.0/kren_US
dc.titleRegularities of the Navier-Stokes equations for incompressible or compressible viscous flows on bounded singular domainsen_US
dc.title.alternative특이성을 가진 유한영역에서 비압축 또는 압축 점성 유동에 대한 나비어-스톡스 방정식의 정칙성en_US
dc.typeThesisen_US
dc.contributor.college일반대학원 수학과en_US
dc.date.degree2013- 2en_US
dc.contributor.department포항공과대학교en_US

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