scholarly journals Long-time behavior for Navier–Stokes flows in a two-dimensional exterior domain

2016 ◽  
Vol 270 (3) ◽  
pp. 1091-1152
Author(s):  
Pigong Han
Author(s):  
Moez Benhamed ◽  
Sahar Mohammad Abusalim

In this paper, we study the asymptotic behavior of the two-dimensional quasi-geostrophic equations with subcritical dissipation. More precisely, we establish that θtX1−2α vanishes at infinity.


1996 ◽  
Vol 100 (47) ◽  
pp. 18491-18501 ◽  
Author(s):  
Rolando Guidelli ◽  
Maria Luisa Foresti ◽  
Massimo Innocenti

1988 ◽  
Vol 02 (08) ◽  
pp. 945-951 ◽  
Author(s):  
DAVID A. KESSLER ◽  
HERBERT LEVINE

We study diffusion-limited crystal growth in a two dimensional channel geometry. We demonstrate that although there exists a linearly stable steady-state finger solution of the pattern evolution equations, the true dynamical behavior can be controlled by a tip-widening instability. Possible scenarios for the long-time behavior of the system are presented.


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