Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774952 | Journal of Mathematical Analysis and Applications | 2017 | 21 Pages |
Abstract
In this study, we consider the large time behavior of the solution to the one-dimensional isentropic compressible quantum Navier-Stokes-Poisson equations. The system describes a compressible particle fluid under quantum effects with the potential function of the self-consistent electric field. We show that if the initial data are close to a constant state with asymptotic values at far fields selected such that the Riemann problem on the corresponding Euler system admits a rarefaction wave with a strength that is not necessarily small, then the solution exists for all time and it tends to the rarefaction wave as tâ+â. The proof is based on the energy method by considering the effect of the self-consistent electric field and quantum potential in the viscous compressible fluid. In addition, we compare the quantum compressible Navier-Stokes-Poisson equations and the corresponding compressible Navier-Stokes-Poisson equations based on the large-time behavior of these two classes of models.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yeping Li, Wenlong Sun,