Subsonic steady-states for bipolar hydrodynamic model for semiconductors
Siying Li, Ming Mei, Kaijun Zhang, Guojing Zhang
TL;DR
This paper investigates the mathematical properties of steady-state solutions in a bipolar hydrodynamic model for semiconductors, focusing on existence, uniqueness, and conditions for well-posedness.
Contribution
It provides new insights into the well-posedness and uniqueness of 3-D radial solutions under various subsonic boundary conditions for the bipolar semiconductor model.
Findings
Established conditions for well-posedness and ill-posedness
Proved uniqueness of solutions under certain boundary conditions
Analyzed the impact of subsonic and sonic boundary data
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Computational Fluid Dynamics and Aerodynamics