scholarly journals Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier–Stokes System in Unbounded Domains with Large Data

2015 ◽  
Vol 220 (3) ◽  
pp. 1195-1208 ◽  
Author(s):  
Jing Li ◽  
Zhilei Liang
Keyword(s):  
Stokes System ◽  
Large Time ◽  
Unbounded Domains ◽  
Large Data ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Time Behavior ◽  
One Dimensional ◽  
Uniform Estimates

scholarly journals Large Time Behavior of the Vlasov–Navier–Stokes System on the Torus

2020 ◽  
Vol 236 (3) ◽  
pp. 1273-1323
Author(s):  
Daniel Han-Kwan ◽  
Ayman Moussa ◽  
Iván Moyano
Keyword(s):  
Stokes System ◽  
Large Time ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Time Behavior

scholarly journals Existence and Large Time Behavior of Entropy Solutions to One-Dimensional Unipolar Hydrodynamic Model for Semiconductor Devices with Variable Coefficient Damping

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Yan Li ◽  
Yanqiu Cheng ◽  
Huimin Yu
Keyword(s):  
Hydrodynamic Model ◽  
Variable Coefficient ◽  
Large Time ◽  
Large Time Behavior ◽  
Entropy Solutions ◽  
Time Behavior ◽  
Viscosity Method ◽  
One Dimensional ◽  
Bounded Interval ◽  
Uniform Estimates

In this paper, we investigate the global existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Possion equations with time and spacedependent damping in a bounded interval. Firstly, we prove the existence of entropy solutions through vanishing viscosity method and compensated compactness framework. Based on the uniform estimates of density, we then prove the entropy solutions converge to the corresponding unique stationary solution exponentially with time. We generalize the existing results to the variable coefficient damping case.

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