Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation

2021 ◽  
Vol 73 (1) ◽  
Author(s):  
Yan Liu ◽  
Jincheng Shi
Keyword(s):  
Smoothing Effect ◽  
Decay Properties ◽  
Plate Equations ◽  
Indirect Damping

scholarly journals Decay properties for evolution-parabolic coupled systems related to thermoelastic plate equations

2021 ◽  
Vol 7 (1) ◽  
pp. 260-275
Author(s):  
Zihan Cai ◽  
◽  
Yan Liu ◽  
Baiping Ouyang ◽  
Keyword(s):  
Cauchy Problem ◽  
Phase Space ◽  
Coupled Systems ◽  
Decay Properties ◽  
Representation Of Solutions ◽  
The Cauchy Problem ◽  
Plate Equations ◽  
Thermoelastic Plate ◽  
Local Operators ◽  
Non Local

<abstract><p>In this paper, we consider the Cauchy problem for a family of evolution-parabolic coupled systems, which are related to the classical thermoelastic plate equations containing non-local operators. By using diagonalization procedure and WKB analysis, we derive representation of solutions in the phase space. Then, sharp decay properties in a framework of $ L^p-L^q $ are investigated via these representations. Particularly, some thresholds for the regularity-loss type decay properties are found.</p></abstract>

scholarly journals Decay properties for evolution-parabolic coupled systems related to thermoelastic plate equations

2021 ◽  
Author(s):  
Yan Liu ◽  
Zihan Cai ◽  
Shuanghu Zhang
Keyword(s):  
Cauchy Problem ◽  
Phase Space ◽  
Coupled Systems ◽  
Decay Properties ◽  
Representation Of Solutions ◽  
The Cauchy Problem ◽  
Plate Equations ◽  
Thermoelastic Plate ◽  
Local Operators ◽  
Non Local

In this paper, we consider the Cauchy problem for a family of evolution-parabolic coupled systems, which are related to the classical thermoelastic plate equations containing non-local operators. By using diagonalization procedure and WKB analysis, we derive representation of solutions in the phase space. Then, sharp decay properties in a framework of $L^p-L^q$ are investigated via these representations. Particularly, some thresholds for the regularity-loss type decay properties are found.

Statistical Analysis of the Smoothing Effect for Photovoltaic Systems in a Large Area

2010 ◽  
Vol 130 (5) ◽  
pp. 491-500 ◽  
Author(s):  
Takashi Oozeki ◽  
Takumi Takashima ◽  
Kenji Otani ◽  
Yoshihiro Hishikawa ◽  
Gentaro Koshimizu ◽  
...  
Keyword(s):  
Statistical Analysis ◽  
Photovoltaic Systems ◽  
Smoothing Effect ◽  
Large Area

Spatial Average Irradiance Fluctuation Characteristics in Chubu Region Considering Smoothing Effect around Observation Points

2013 ◽  
Vol 133 (4) ◽  
pp. 373-382 ◽  
Author(s):  
Takeyoshi Kato ◽  
Shinsuke Kumazawa ◽  
Nobuyuki Honda ◽  
Masakazu Koaizawa ◽  
Shinichi Nishino ◽  
...  
Keyword(s):  
Spatial Average ◽  
Smoothing Effect ◽  
Average Irradiance
Sign in / Sign up

Export Citation Format

Share Document