Global smooth solutions for a one-dimensional nonisentropic hydrodynamic model with non-constant lattice temperature

作者：Li Yeping^*

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2008, 59(2): 187-211.

DOI：10.1007/s00033-006-6023-5

• global smooth solutions
• nonisentropic
• hydrodynamic model

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 -> infinity.

• 出版日期2008-3
• 单位复旦大学; 上海师范大学