Sharp time decay rates of H 1 weak solutions for the 2D MHD equations with linear damping velocity

Nonlinearity ◽  
2020 ◽  
Vol 33 (9) ◽  
pp. 4857-4877
Author(s):  
Hailong Ye ◽  
Yan Jia ◽  
Bo-Qing Dong
Keyword(s):  
Weak Solutions ◽  
Decay Rates ◽  
Mhd Equations ◽  
Time Decay ◽  
Time Decay Rates ◽  
Linear Damping

STABILITY OF SHOCK PROFILES FOR NONCONVEX SCALAR VISCOUS CONSERVATION LAWS

1995 ◽  
Vol 05 (03) ◽  
pp. 279-296 ◽  
Author(s):  
MING MEI
Keyword(s):  
Conservation Laws ◽  
Decay Rates ◽  
Asymptotically Stable ◽  
Time Decay ◽  
Shock Condition ◽  
Viscous Conservation Laws ◽  
Time Decay Rates ◽  
Shock Profiles ◽  
Degenerate Shock ◽  
The Stability

This paper is to study the stability of shock profiles for nonconvex scalar viscous conservation laws with the nondegenerate and the degenerate shock conditions by means of an elementary energy method. In both cases, the shock profiles are proved to be asymptotically stable for suitably small initial disturbances. Moreover, in the case of nondegenerate shock condition, time decay rates of asymptotics are also obtained.

scholarly journals Time decay rates for the compressible viscoelastic flows

2017 ◽  
Vol 452 (2) ◽  
pp. 990-1004 ◽  
Author(s):  
Guochun Wu ◽  
Zhensheng Gao ◽  
Zhong Tan
Keyword(s):  
Decay Rates ◽  
Viscoelastic Flows ◽  
Time Decay ◽  
Time Decay Rates
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