scholarly journals Global existence and long time behavior of the Ellipsoidal-Statistical-Fokker-Planck model for diatomic gases

2020 ◽  
Vol 13 (2) ◽  
pp. 373-400
Author(s):  
Lei Jing ◽  
◽  
Jiawei Sun ◽  
Keyword(s):  
Global Existence ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time ◽  
Fokker Planck

scholarly journals Blow-Up Phenomena and Global Existence to a Weakly Dissipative Shallow Water Equation

2014 ◽  
Vol 12 ◽  
pp. 10-20
Author(s):  
Jiang Bo Zhou ◽  
Jun De Chen ◽  
Wen Bing Zhang
Keyword(s):  
Global Existence ◽  
Shallow Water ◽  
Blow Up ◽  
Shallow Water Equation ◽  
Well Posedness ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Holm Equation ◽  
Special Cases ◽  
Long Time

We first establish the local well-posedness for a weakly dissipative shallow water equation which includes both the weakly dissipative Camassa-Holm equation and the weakly dissipative Degasperis-Procesi equation as its special cases. Then two blow-up results are derived for certain initial profiles. Finally, We study the long time behavior of the solutions.

scholarly journals On the Long-Time Behavior of the Quantum Fokker-Planck Equation

2004 ◽  
Vol 141 (3) ◽  
pp. 237-257 ◽  
Author(s):  
C. Sparber ◽  
J. A. Carrillo ◽  
P. A. Markowich ◽  
J. Dolbeault
Keyword(s):  
Planck Equation ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Fokker Planck Equation ◽  
Long Time ◽  
Fokker Planck
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