کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610352 | 1338558 | 2014 | 50 صفحه PDF | دانلود رایگان |
We study the asymptotic limit problem on the relativistic Euler–Poisson equations. Under the assumptions of both the initial data being the small perturbation of the given steady state solution and the boundary strength being suitably small, we have the following results: (i) the global smooth solution of the relativistic Euler–Poisson equation converges to the solution of the drift-diffusion equations provided the light speed c and the relaxation time τ satisfying c=τ−1/2c=τ−1/2 when the relaxation time τ tends to zero; (ii) the global smooth solution of the relativistic Euler–Poisson equations converges to the subsonic global smooth solution of the unipolar hydrodynamic model for semiconductors when the light speed c→∞c→∞. In addition, the related convergence rate results are also obtained.
Journal: Journal of Differential Equations - Volume 257, Issue 12, 15 December 2014, Pages 4319–4368