Boundedness and Long-Time Behavior for a Two-Dimensional Quasilinear Chemotaxis System with Indirect Signal Consumption

2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Jie Xing ◽  
Pan Zheng
Keyword(s):  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Long Time ◽  
Chemotaxis System

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.

Two-Dimensional Phase Transitions of Chemisorbed Uracil on Ag(111):  Modeling of Short- and Long-Time Behavior

1996 ◽  
Vol 100 (47) ◽  
pp. 18491-18501 ◽  
Author(s):  
Rolando Guidelli ◽  
Maria Luisa Foresti ◽  
Massimo Innocenti
Keyword(s):  
Phase Transitions ◽  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Long Time

TIP INSTABILITY DURING CONFINED DIFFUSION-LIMITED GROWTH

1988 ◽  
Vol 02 (08) ◽  
pp. 945-951 ◽  
Author(s):  
DAVID A. KESSLER ◽  
HERBERT LEVINE
Keyword(s):  
Evolution Equations ◽  
Dynamical Behavior ◽  
Stable Steady State ◽  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Limited Growth ◽  
Channel Geometry ◽  
Diffusion Limited ◽  
Long Time

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.

Phase Transition in Two-Dimensional Biased Diffusion

1998 ◽  
Vol 09 (07) ◽  
pp. 1021-1024 ◽  
Author(s):  
Alexander Kirsch
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Drift Velocity ◽  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Long Time ◽  
Biased Diffusion

We investigate the long-time behavior of the drift velocity of two-dimensional biased diffusion with varying bias B and percentage p of allowed sites. A phase diagram for the drift/no-drift transition depending on B and p is presented.

Sign in / Sign up

Export Citation Format

Share Document