scholarly journals Large time behavior of the solution to the Landau Equation with specular reflective boundary condition

2013 ◽  
Vol 6 (3) ◽  
pp. 601-623
Author(s):  
Cong He ◽  
◽  
Hongjun Yu ◽  
Keyword(s):  
Boundary Condition ◽  
Large Time ◽  
Landau Equation ◽  
Large Time Behavior ◽  
Time Behavior

scholarly journals Estimates for the Large Time Behavior of the Landau Equation in the Coulomb Case

2017 ◽  
Vol 224 (2) ◽  
pp. 381-420 ◽  
Author(s):  
Kleber Carrapatoso ◽  
Laurent Desvillettes ◽  
Lingbing He
Keyword(s):  
Large Time ◽  
Landau Equation ◽  
Large Time Behavior ◽  
Time Behavior

scholarly journals Large time behavior of solutions to the compressible Navier–Stokes equations in an infinite layer under slip boundary condition

2016 ◽  
Vol 26 (14) ◽  
pp. 2617-2649 ◽  
Author(s):  
Abulizi Aihaiti ◽  
Shota Enomoto ◽  
Yoshiyuki Kagei
Keyword(s):  
Boundary Condition ◽  
Large Time ◽  
Stokes Equations ◽  
Slip Boundary Condition ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Time Behavior ◽  
Navier Stokes Equations ◽  
Infinite Layer ◽  
Slip Boundary

This paper is concerned with large time behavior of solutions to the compressible Navier–Stokes equations in an infinite layer of [Formula: see text] under slip boundary condition. It is shown that if the initial data is sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one-dimensional diffusion waves.

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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