INVISCID QUASI-NEUTRAL LIMIT OF A NAVIER-STOKES-POISSON-KORTEWEG SYSTEM | Zendy

Hongli Wang | Zendy; Jianwei Yang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

INVISCID QUASI-NEUTRAL LIMIT OF A NAVIER-STOKES-POISSON-KORTEWEG SYSTEM

Author(s) -

Hongli Wang,

Jianwei Yang

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.013

Subject(s) - inviscid flow , mathematics , limit (mathematics) , mathematical analysis , viscosity , navier–stokes equations , compressibility , rate of convergence , euler equations , torus , physics , classical mechanics , mechanics , thermodynamics , geometry , channel (broadcasting) , electrical engineering , engineering

The combined quasi-neutral and inviscid limit of the Navier-Stokes-Poisson-Korteweg system with density-dependent viscosity and cold pressure in the torus T3 is studied. It is shown that, for the well-prepared initial data, the global weak solution of the Navier-Stokes-Poisson-Korteweg system converges strongly to the strong solution of the incompressible Euler equations when the Debye length and the viscosity coecient go to zero simultaneously. Furthermore, the rate of convergence is also obtained.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research