scholarly journals Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations

2013 ◽  
Vol 50 (1-2) ◽  
pp. 283-304 ◽  
Author(s):  
Guy Barles ◽  
Emmanuel Chasseigne ◽  
Adina Ciomaga ◽  
Cyril Imbert
Keyword(s):  
Differential Equations ◽  
Viscosity Solutions ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior

ASYMPTOTIC EQUIVALENCE OF A REACTION-DIFFUSION SYSTEM TO THE CORRESPONDING SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

1995 ◽  
Vol 05 (06) ◽  
pp. 813-834 ◽  
Author(s):  
HIROKI HOSHINO ◽  
SHUICHI KAWASHIMA
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Energy Method ◽  
Large Time ◽  
Reaction Diffusion ◽  
Large Time Behavior ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Time Behavior ◽  
Asymptotic Equivalence

Large time behavior of the solution to some simple reaction-diffusion system is studied. It is proved that the solution behaves like the solution to the corresponding system of ordinary differential equations as time goes to infinity. The proof is based on an energy method combined with the Lp−Lqestimate for the associated semigroup.

scholarly journals Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil

2012 ◽  
Vol 218 (9) ◽  
pp. 5641-5654 ◽  
Author(s):  
Stephane Cordier ◽  
Le Xuan Truong ◽  
Nguyen Thanh Long ◽  
Alain Pham Ngoc Dinh
Keyword(s):  
Differential Equations ◽  
Carbon Storage ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Periodic Coefficients

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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