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Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere
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Yan, Xukai. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. Retrieved from https://doi.org/doi:10.7282/T37947N9

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TitleHomogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere
NameYan, Xukai (author); Li, YanYan (chair); Han, Zhengchao (internal member); Carlen, Eric (internal member); Sverak, Vladimir (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2017
Other Date2017-05 (degree)
SubjectMathematics, Navier-Stokes equations
Extent1 online resource (vii, 168 p. : ill.)
DescriptionWe classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles. We establish existence and nonexistence results of (-1)-homogeneous axisymmetric solutions with nonzero swirl emamnating from axisymmetric no-swirl solutions. We also establish asymptotic expansions for every (-1)-homogeneous axisymmetric solutions in a neighborhood of a singular point on the unit sphere.
NotePh.D.
NoteIncludes bibliographical references
Noteby Xukai Yan
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T37947N9
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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