We analytically study the global-in-time well-posedness of the TT model near the steady-state solution in the ordered phase on $ \\mathbb{R}^d $ with $ d = 2,3 $. We also show the large-time behavior of solution
This paper deals with the Toner-Tu (TT) model, which is a hydrodynamic model describing the collective motion of numerous self-propelled agents. We analytically study the global-in-time well-posedness of the TT model near the steady-state solution in the ordered phase. We also show the large...
VOLUME 75, NUMBER 23 P H Y S I C A L R E V I E W L E T T E R S 4 DECEMBER 1995 Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together John Toner ^'^ and Yuhai Tu^ ^IBM T.J. Watson Research Center, P.O. Box 218, Yorktown Heights, New Yo...
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