scholarly journals Large-time behavior of solutions for the one-dimensional infrarelativistic model of a compressible viscous gas with radiation

2012 ◽  
Vol 252 (12) ◽  
pp. 6175-6213 ◽  
Author(s):  
Yuming Qin ◽  
Baowei Feng ◽  
Ming Zhang
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Viscous Gas ◽  
One Dimensional ◽  
Compressible Viscous Gas ◽  
The One

scholarly journals A Sharp Estimate of Entropy Solution to Euler-Poisson System for Semiconductors in the Whole Domain

2019 ◽  
pp. 1-12
Author(s):  
Yanqiu Cheng ◽  
Xixi Fang ◽  
Huimin Yu
Keyword(s):  
Large Time ◽  
Approximate Solutions ◽  
Entropy Inequality ◽  
Large Time Behavior ◽  
Doping Profile ◽  
Entropy Solutions ◽  
Time Behavior ◽  
One Dimensional ◽  
Poisson Equations ◽  
The One

In this paper, we are concerned with the global existence, large time behavior, and timeincreasing-rate of entropy solutions to the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. When the adiabatic index γ > 2, the L∞ estimates of artificial viscosity approximate solutions are obtained by using entropy inequality and maximum principle. Then the L∞ compensated compactness framework demonstrates theconvergence of approximate solutions. Finally, the global entropy solutions are proved to decay exponentially fast to the stationary solution, without any assumption on the smallness of initial data and doping profile.

Optimal decay rates on the solution to the compressible gas–liquid drift-flux model with slip

2017 ◽  
Vol 28 (02) ◽  
pp. 337-386 ◽  
Author(s):  
Guangyi Hong ◽  
Changjiang Zhu
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Decay Rates ◽  
Time Behavior ◽  
One Dimensional ◽  
Drift Flux Model ◽  
Drift Flux ◽  
Flux Model ◽  
The One ◽  
Compressible Gas

In this paper, the large time behavior of the solution to the initial-boundary problems for the one-dimensional compressible gas–liquid drift-flux model with slip is studied. Under some suitable smallness conditions upon the initial data, the optimal pointwise upper and lower decay estimates on masses as well as the sharpest decay rates for the norms in terms of the velocity function are obtained. This result generalizes the one in [On the large time behavior of the compressible gas–liquid drift-flux model with slip, Math. Models Methods Appl. Sci. 25 (2015) 2175–2215] by Evje and Wen. The key of the proof is to derive some new global-in-time weighted estimates. Our method can also be easily adopted to the study on the large time behavior of the solution to the one-dimensional compressible Naiver–Stokes equations.

Large-time behavior of the motion of a viscous heat-conducting one-dimensional gas coupled to radiation

2010 ◽  
Vol 191 (2) ◽  
pp. 219-260 ◽  
Author(s):  
Bernard Ducomet ◽  
Šárka Nečasová
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Heat Conducting ◽  
Time Behavior ◽  
One Dimensional ◽  
Viscous Heat
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