Abstract
This paper is concerned with a stability problem for compressible Navier–Stokes–Poisson systems. It arises in the modeling of semiconductors with a viscosity term in momentum equations. We prove that smooth solutions exist globally in time near the steady-state solution, and converge to the steady state for large time. In this stability result, we don't give any special assumptions on the given doping profile. The proof is based on the techniques of anti-symmetric matrix and an induction argument on the order of the space derivatives of solutions in energy estimates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.