Homogeneous Solutions of Stationary Navier–Stokes Equations with Isolated Singularities on the Unit Sphere. I. One Singularity

Author:

Li Li,Li YanYan,Yan Xukai

Funder

Directorate for Mathematical and Physical Sciences

NSFC

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference13 articles.

1. Goldshtik, M.A.: A paradoxical solution of the Navier–Stokes equations. Prikl. Mat. Mekh. 24, 610–621. Transl., J. Appl. Math. Mech. (USSR) 24, 913–929 (1960)

2. Landau L.: A new exact solution of Navier–Stokes Equations. Dokl. Akad. Nauk SSSR 43, 299–301 (1944)

3. Nirenberg, L.: Topics in Nonlinear Functional Analysis. Courant Lecture Notes in Mathematics, vol. 6. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2001

4. Pillow A.F., Paull R.: Conically similar viscous flows. Part 1. Basic conservation principles and characterization of axial causes in swirl-free flow. J. Fluid Mech. 155, 327–341 (1985)

5. Pillow A.F., Paull R.: Conically similar viscous flows. Part 2. One-parameter swirl-free flows. J. Fluid Mech. 155, 343–358 (1985)

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