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Rutgers University

1. Yan, Xukai, 1987-. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.

Degree: PhD, Mathematics, 2017, Rutgers University

We 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.

Advisors/Committee Members: Li, YanYan (chair), Han, Zhengchao (internal member), Carlen, Eric (internal member), Sverak, Vladimir (outside member).

Subjects/Keywords: Navier-Stokes equations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Yan, Xukai, 1. (2017). Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/54047/

Chicago Manual of Style (16th Edition):

Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Doctoral Dissertation, Rutgers University. Accessed April 17, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.

MLA Handbook (7th Edition):

Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Web. 17 Apr 2021.

Vancouver:

Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Internet] [Doctoral dissertation]. Rutgers University; 2017. [cited 2021 Apr 17]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.

Council of Science Editors:

Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Doctoral Dissertation]. Rutgers University; 2017. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/

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