Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 3
Submit an article Journal homepage
188
Views
3
CrossRef citations to date
0
Altmetric
Articles

Quasi-neutral limit of the Navier–Stokes–Fourier–Poisson system for ionic dynamics

Young-Sam KwonDepartment of Mathematics, Dong-A University, Busan, Korea.View further author information
&
Fucai LiDepartment of Mathematics, Nanjing University, Nanjing, P.R. China.Correspondence[email protected]
View further author information
Pages 651-665 | Received 24 Aug 2017, Accepted 29 Oct 2017, Published online: 07 Nov 2017

References

  • Bresch D , Desjardins B , Ducomet B . Quasi-neutral limit for a viscous capillary model of plasma. Ann Inst H Poincaré Anal Non Linéaire. 2005;22(1):1–9.
  • Feireisl E , Zhang P . Quasi-neutral limit for a model of viscous plasma. Arch Ration Mech Anal. 2010;197(1):271–295.
  • Cordier S , Grenier E . Quasineutral limit of an Euler-Poisson system arising from plasma physics. Commun Partial Differ Equ. 2000;25(5–6):1099–1113.
  • Gérard-Varet D , Han-Kwan D , Rousset F . Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. Indiana Univ Math J. 2013;62(2):359–402.
  • Gérard-Varet D , Han-Kwan D , Rousset F . Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II. J Éc Polytech Math. 2014;1:343–386.
  • Pu X , Guo B . Quasineutral limit of the pressureless Euler-Poisson equation for ions. Quart Appl Math. 2016;74(2):245–273.
  • Ju Q , Li F , Li H . The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data. J Differ Equ. 2009;247(1):203–224.
  • Chen L , Donatelli D , Marcati P . Incompressible type limit analysis of a hydrodynamic model for charge-carrier transport. SIAM J Math Anal. 2013;45(3):915–933.
  • Donatelli D , Marcati P . The quasineutral limit for the Navier-Stokes-Fourier-Poisson system. In: Chen G-Q , Holden H , Karlsen KH , editors. Hyperbolic conservation laws and related analysis with applications. Vol. 49, Springer Proceedings in Mathematics & Statistics. Heidelberg: Springer; 2014. p. 193–206.
  • Ju Q , Li Y . Asymptotic limits of the full Navier-Stokes-Fourier-Poisson system. J Differ Equ. 2013;254(6):2587–2602.
  • Li Y , Ju Q , Xu W-Q . Quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system. J Differ Equ. 2015;258(11):3661–3687.
  • Ju Q , Li F , Wang S . Convergence of the Navier-Stokes-Poisson system to the incompressible Navier-Stokes equations. J Math Phys. 2008;49(7):073515, 8pp.
  • Ju Q , Li Y , Wang S . Rate of convergence from the Navier-Stokes-Poisson system to the incompressible Euler equations. J Math Phys. 2009;50(1):013533, 12pp.
  • Donatelli D , Feireisl E , Novotný A . Scale analysis of a hydrodynamic model of plasma. Math Models Methods Appl Sci. 2015;25(2):371–394.
  • Wang S , Jiang S . The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations. Commun Partial Differ Equ. 2006;31(4–6):571–591.
  • Wang S . Quasineutral limit of Euler-Poisson system with and without viscosity. Commun Partial Differ Equ. 2004;29(3–4):419–456.
  • Donatelli D , Marcati P . A quasineutral type limit for the Navier-Stokes-Poisson system with large data. Nonlinearity. 2008;21(1):135–148.
  • Feireisl E , Novotný A . Singular limits in thermodynamics of viscous fluids. Basel: Birkhäuser-Verlag; 2009.
  • Vol’pert AI , Hudjaev SI . The Cauchy problem for composite systems of nonlinear differential equations. Math USSR SB. 1972;16:504–528.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.