We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Zero relaxation time limits to a hydrodynamic model of two carrier types for semiconductors.
- Authors
Hu, Yan-bo; Klingenberg, C.; Lu, Yun-guang
- Abstract
In this paper, we study the zero relaxation time limits to a one dimensional hydrodynamic model of two carrier types for semiconductors. First, we introduce the flux approximation coupled with the classical viscosity method to obtain the uniform L loc p , p ≥ 1 , bound of the approximation solutions ρ i ε , δ and other estimates of (u i ε , δ , E ε , δ) with the help of the high energy estimates (Jungel and Peng Comm Partial Differ Equ 58:1007–1033, 1999). Then, we apply the compensated compactness method coupled with the scaled variables technique (Marcati and Natalini Arch Ration Mech Anal 129:129–145, 1995) to prove the zero-relaxation-time limits with arbitrarily large initial data, and arbitrary adiabatic exponents γ i > 1 .
- Subjects
SEMICONDUCTORS; VISCOSITY; FLUX (Energy); EXPONENTS; RATIONING
- Publication
Mathematische Annalen, 2022, Vol 382, Issue 3/4, p1031
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-020-02071-9