双极不可压缩纳维–斯托克–傅里叶–泊松方程的整体解和衰减
Global Solution and Decay of the Two-Fluid Incompressible Navier-Stokes-Fourier-Poisson System
摘要:
本文采用高阶能量方法和连续性方法，证明双极不可压缩纳维–斯托克–傅里叶–泊松方程整体解的存在性和指数衰减性。
Abstract:
In this paper, by using the higher order energy method and the continuity method, we prove the global existence and the exponential decay of solutions to the two-fluid incompressible Navier- Stokes-Fourier-Poisson system.
参考文献
|
[1]
|
Ju, Q., Li, F. and Wang, S. (2008) Convergence of the Navier-Stokes-Poisson System to the Incompressible Navier- Stokes Equations. Journal of Mathematical Physics, 49, Article No. 073515. [Google Scholar] [CrossRef]
|
|
[2]
|
Ju, Q. and Li, Y. (2013) Asymptotic Limits of the Full Navier-Stokes-Fourier-Poisson System. Journal of Differential Equations, 254, 2587-2602. [Google Scholar] [CrossRef]
|
|
[3]
|
Donatelli, D. and Pierangelo, M. (2014) The Quasi-Neutral Limit for the Navier-Stokes-Fourier-Poisson System. Hyperbolic Conserveation Laws and Related Analysis with Applications. Springer Proceedings in Mathematics & Statistics, 49, 193-206. [Google Scholar] [CrossRef]
|
|
[4]
|
Li, Y., Ju, Q. and Xu, W. (2015) Quasi-Neutral Limit of the Full Navier-Stokes-Fourier-Poisson System. Journal of Differential Equations, 258, 3661-3687. [Google Scholar] [CrossRef]
|
|
[5]
|
Bernard, D. and Matteo, C. (2018) The Rotating Navier-Stokes-Fourier-Poisson System on Thin Domains. Asymptotic Analysis, 109, 111-141. [Google Scholar] [CrossRef]
|
|
[6]
|
Jiang, N. and Luo, Y. (2019) From Vlasov-Maxwell-Boltzmann System to Two-Fluid Incompressible Navier-Stokes- Fourier-Maxwell System with Ohm’s Law: Convergence for Classical Solutions. arXiv:1905.04739.
|
|
[7]
|
Jiang, J. (2009) Vlasov-Maxwell-Boltzmann Diffusive Limit. Archive for Rational Mechanics and Analysis, 194, 531-584. [Google Scholar] [CrossRef]
|