Global smooth solutions for a one-dimensional nonisentropic hydrodynamic model with non-constant lattice temperature |
| |
Authors: | Yeping Li |
| |
Institution: | (1) The Institute of Mathematics, Fudan University, Shanghai, 200433, China;(2) Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China |
| |
Abstract: | In this paper, a one-dimensional nonisentropic hydrodynamic model for semiconductors with non-constant lattice temperature
is studied. The model is self-consistent in the sense that the electric field, which forms a forcing term in the momentum
equation, is determined by the coupled Poisson equation. The existence and uniqueness of the corresponding stationary solutions
are investigated carefully under proper conditions. Then, global existence of the smooth solutions for the Cauchy problem
with initial data, which are perturbations of stationary solutions, is established. It is shown that these smooth solutions
tend to the stationary solutions exponentially fast as t → ∞.
|
| |
Keywords: | 35L65 76X05 35M10 37K40 35Q72 |
本文献已被 SpringerLink 等数据库收录! |
|