Subsonic steady-states for bipolar hydrodynamic model for semiconductors

2023/09/01 by S. Li, Li, Siying, Ming Mei +5
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2309.00418

openalex publication_date 2023/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the well-posedness, ill-posedness and uniqueness of the stationary 3-D radial solution to the bipolar isothermal hydrodynamic model for semiconductors. The density of electron is imposed with sonic boundary and interiorly subsonic case and the density of hole is fully subsonic case.

Related

• Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
• Radial solutions of the hydrodynamic model of semiconductors with sonic boundary
• Steady hydrodynamic model of semiconductors with sonic boundary
• Optimal regularity of subsonic steady-states solution of Euler-Poisson equations for semiconductors with sonic boundary
• Structural stability of interior subsonic steady-states to hydrodynamic model for semiconductors with sonic boundary