Abstract
In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.
| Original language | English |
|---|---|
| Pages (from-to) | 211-255 |
| Journal | Kinetic and Related Models |
| Volume | 14 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2021 |
Research Keywords
- Vlasov-Poisson-Boltzmann system
- spectral analysis
- diffusion limit
- convergence rate
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Dive into the research topics of 'DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Instability and Critical Regularity Indice for Degenerate PDEs of Prandtl-type Systems
YANG, T. (Principal Investigator / Project Coordinator)
1/08/18 → 6/07/22
Project: Research
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