Asymptotic behavior of a retracting two-dimensional fluid sheet

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

scholarly journals Asymptotic behavior of a steady flow in a two-dimensional pipe

2003 ◽  
Vol 158 (1) ◽  
pp. 39-58 ◽  
Author(s):  
Piotr Bogusław Mucha
Keyword(s):  
Asymptotic Behavior ◽  
Steady Flow ◽  
Two Dimensional

scholarly journals On the oscillation of a nonlinear two-dimensional difference systems

2001 ◽  
Vol 32 (3) ◽  
pp. 201-209 ◽  
Author(s):  
E. Thandapani ◽  
B. Ponnammal
Keyword(s):  
Asymptotic Behavior ◽  
Sufficient Conditions ◽  
Real Sequence ◽  
Two Dimensional ◽  
Difference System ◽  
Nonoscillatory Solutions ◽  
Difference Systems ◽  
All Solutions ◽  
Necessary And Sufficient ◽  
Strongly Sublinear

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.

scholarly journals Long Time Behavior of the Solution of the Two-Dimensional Dissipative QGE in Lei–Lin Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Moez Benhamed ◽  
Sahar Mohammad Abusalim
Keyword(s):  
Asymptotic Behavior ◽  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Long Time

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.

An asymptotic analysis for Hamilton–Jacobi equations with large Hamiltonian drift terms

2017 ◽  
Vol 0 (0) ◽  
Author(s):  
Taiga Kumagai
Keyword(s):  
Asymptotic Behavior ◽  
Euclidean Space ◽  
Asymptotic Analysis ◽  
Open Subset ◽  
Dimensional Euclidean Space ◽  
Asymptotic Behavior Of Solutions ◽  
Two Dimensional ◽  
Jacobi Equations ◽  
Drift Terms

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

THE DYNAMICS OF THE ORDERING PROCESS WITH LONG-DISTANCE HOPPING

1989 ◽  
Vol 03 (08) ◽  
pp. 605-610 ◽  
Author(s):  
YOSHIHISA ENOMOTO ◽  
KYOZI KAWASAKI
Keyword(s):  
Asymptotic Behavior ◽  
Structure Function ◽  
Computer Model ◽  
Scaling Law ◽  
Two Dimensional ◽  
Long Distance ◽  
Quenched Systems

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.

scholarly journals Studies on Polyakov and Nambu–Goto random surface path integrals on QCD(SU(∞)): Interquark potential and phenomenological scattering amplitudes

2017 ◽  
Vol 32 (05) ◽  
pp. 1750030
Author(s):  
Luiz C. L. botelho
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Path Integral ◽  
Fourth Order ◽  
Path Integrals ◽  
Infrared Region ◽  
Two Dimensional ◽  
Long Distance ◽  
Random Surface ◽  
Interquark Potential

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.

Global asymptotic behavior of a two-dimensional difference equation modelling competition

2003 ◽  
Vol 52 (7) ◽  
pp. 1765-1776 ◽  
Author(s):  
Dean Clark ◽  
M.R.S. Kulenović ◽  
James F. Selgrade
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Two Dimensional ◽  
Equation Modelling

scholarly journals Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces

2002 ◽  
Vol 29 (9) ◽  
pp. 501-516
Author(s):  
Nakao Hayashi ◽  
Pavel I. Naumkin
Keyword(s):  
Cauchy Problem ◽  
Asymptotic Behavior ◽  
Asymptotic Expansion ◽  
Initial Data ◽  
Asymptotic Representation ◽  
Analytic Solutions ◽  
Two Dimensional ◽  
Nonlinear Schrödinger ◽  
Scattering States ◽  
Suitable Norm

We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two-dimensional spacesi∂tu+(1/2)Δu=𝒩(u),(t,x)∈ℝ×ℝ2;u(0,x)=φ(x),x∈ℝ2, where𝒩(u)=Σj,k=12(λjk(∂xju)(∂xku)+μjk(∂xju¯)(∂xku¯)), whereλjk,μjk∈ℂ. We prove that if the initial dataφsatisfy some analyticity and smallness conditions in a suitable norm, then the solution of the above Cauchy problem has the asymptotic representation in the neighborhood of the scattering states.

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