Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary
Open Access
- 8 February 2023
- journal article
- research article
- Published by Hindawi Limited in Advances in Mathematical Physics
- Vol. 2023, 1-16
- https://doi.org/10.1155/2023/2461834
Abstract
The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H-3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.Keywords
Funding Information
- Beijing Municipal Natural Science Foundation (Z180007)
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