The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data |
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Authors: | Qiangchang Ju Hailiang Li |
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Affiliation: | a Institute of Applied Physics and Computational Mathematics, PO Box 8009-28, Beijing 100088, PR China b Department of Mathematics, Nanjing University, Nanjing 210093, PR China c Department of Mathematics and Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100037, PR China |
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Abstract: | The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general (ill-prepared) initial data is rigorously proved in this paper. It is proved that, as the Debye length tends to zero, the solution of the compressible Navier-Stokes-Poisson system converges strongly to the strong solution of the incompressible Navier-Stokes equations plus a term of fast singular oscillating gradient vector fields. Moreover, if the Debye length, the viscosity coefficients and the heat conductivity coefficient independently go to zero, we obtain the incompressible Euler equations. In both cases the convergence rates are obtained. |
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Keywords: | 35Q30 35B40 82D10 |
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