scholarly journals Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension

2013 ◽  
Vol 18 (3) ◽  
pp. 821-845 ◽  
Author(s):  
Youshan Tao ◽  
◽  
Lihe Wang ◽  
Zhi-An Wang ◽  
◽  
...  
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
One Dimension ◽  
Time Behavior ◽  
Chemotaxis Model ◽  
Logarithmic Sensitivity

scholarly journals Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion

2018 ◽  
Vol 61 (1) ◽  
pp. 37-80 ◽  
Author(s):  
Kentarou Fujie ◽  
Sachiko Ishida ◽  
Akio Ito ◽  
Tomomi Yokota
Keyword(s):  
Tumor Invasion ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Chemotaxis Model

scholarly journals Solutions to a multi-phase model of sea-ice growth

2021 ◽  
Author(s):  
Yangxin Tang ◽  
Lin Zheng ◽  
Liping Luan
Keyword(s):  
Sea Ice ◽  
Large Time ◽  
Large Time Behavior ◽  
One Dimension ◽  
Time Behavior ◽  
Parabolic Differential Equations ◽  
Phase Dynamics ◽  
Ice Growth ◽  
Phase Systems ◽  
Multi Phase

The multi-phase systems has found its applications in many fields. We shall apply this approach to investigate the multi-phase dynamics of sea-ice growth. In this paper, the weak solutions existence and uniqueness of parabolic differential equations are proved. Then large-time behavior of solutions are studied, also the existence of global attractor is proved. The key tool in this article is the energy method. Our existence proof is only in one dimension.

scholarly journals Global well-posedness of the full compressible Hall-MHD equations

2021 ◽  
Vol 10 (1) ◽  
pp. 1235-1254
Author(s):  
Qiang Tao ◽  
Canze Zhu
Keyword(s):  
Global Solution ◽  
Large Time ◽  
Initial Temperature ◽  
Large Time Behavior ◽  
Initial Energy ◽  
Mhd Equations ◽  
Well Posedness ◽  
Time Behavior ◽  
Magnetohydrodynamic Flows ◽  
Hall Mhd

Abstract This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

Large Time Behavior of Solutions to One Nonlinear Integro-Differential Equation

2008 ◽  
Vol 15 (3) ◽  
pp. 531-539
Author(s):  
Temur Jangveladze ◽  
Zurab Kiguradze
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Boundary Conditions ◽  
Large Time ◽  
Dirichlet Boundary ◽  
Large Time Behavior ◽  
Dirichlet Boundary Conditions ◽  
Time Behavior ◽  
Integro Differential Equation ◽  
Homogeneous Data

Abstract Large time behavior of solutions to the nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. The rate of convergence is given, too. Dirichlet boundary conditions with homogeneous data are considered.

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