Asymptotic behavior of the solution of the two-dimensional stochastic vorticity equation

1998 ◽  
Vol 58 (4) ◽  
pp. 4532-4540 ◽  
Author(s):  
Juha Honkonen
AIAA Journal ◽  
2000 ◽  
Vol 38 (5) ◽  
pp. 774-783 ◽  
Author(s):  
Stephen A. Huyer ◽  
John R. Grant

2003 ◽  
Vol 158 (1) ◽  
pp. 39-58 ◽  
Author(s):  
Piotr Bogusław Mucha

2001 ◽  
Vol 32 (3) ◽  
pp. 201-209 ◽  
Author(s):  
E. Thandapani ◽  
B. Ponnammal

The authors consider the two-dimensional difference system$$ \Delta x_n = b_n g (y_n) $$ $$ \Delta y_n = -f(n, x_{n+1}) $$where $ n \in N(n_0) = \{ n_0, n_0+1, \ldots \} $, $ n_0 $ a nonnegative integer; $ \{ b_n \} $ is a real sequence, $ f: N(n_0) \times {\rm R} \to {\rm R} $ is continuous with $ u f(n,u) > 0 $ for all $ u \ne 0 $. Necessary and sufficient conditions for the existence of nonoscillatory solutions with a specified asymptotic behavior are given. Also sufficient conditions for all solutions to be oscillatory are obtained if $ f $ is either strongly sublinear or strongly superlinear. Examples of their results are also inserted.


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.


2017 ◽  
Vol 0 (0) ◽  
Author(s):  
Taiga Kumagai

AbstractWe investigate the asymptotic behavior of solutions of Hamilton–Jacobi equations with large Hamiltonian drift terms in an open subset of the two-dimensional Euclidean space. The drift is given by


1989 ◽  
Vol 03 (08) ◽  
pp. 605-610 ◽  
Author(s):  
YOSHIHISA ENOMOTO ◽  
KYOZI KAWASAKI

We study the asymptotic behavior of the ordering process of quenched systems with long-distance hopping. Based on a newly proposed computer model of such systems, two dimensional simulations are performed to investigate the scaling law for the scattering structure function.


2011 ◽  
Vol 23 (12) ◽  
pp. 122101 ◽  
Author(s):  
Leonardo Gordillo ◽  
Gilou Agbaglah ◽  
Laurent Duchemin ◽  
Christophe Josserand

2017 ◽  
Vol 32 (05) ◽  
pp. 1750030
Author(s):  
Luiz C. L. botelho

We present new path integral studies on the Polyakov noncritical and Nambu–Goto critical string theories and their applications to [Formula: see text] interquark potential. We also evaluate the long distance asymptotic behavior of the interquark potential on the Nambu–Goto string theory with an extrinsic term in Polyakov’s string at [Formula: see text]. We also propose an alternative and a new view to covariant Polyakov’s string path integral with a fourth-order two-dimensional quantum gravity, is an effective stringy description for [Formula: see text] at the deep infrared region.


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