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EnglishIn this paper we investigate a quasineutral type limit for the Navier–Stokes–Poisson system. We prove that the projection of the approximating velocity fields on the divergence-free vector field is relatively compact and converges to a Leray weak solution of the incompressible Navier–Stokes equation. By exploiting the wave equation structure of the density fluctuation we achieve the convergence of the approximating sequences by means of a dispersive estimate of the Strichartz type.
http://hdl.handle.net/11697/2898| Titolo: | A quasineutral type limit for the Navier Stokes Poisson system with large data |
| Autori interni: | MARCATI, PIERANGELO DONATELLI, DONATELLA |
| Data di pubblicazione: | 2008 |
| Rivista: | NONLINEARITY |
| Abstract: | In this paper we investigate a quasineutral type limit for the Navier–Stokes–Poisson system. We prove that the projection of the approximating velocity fields on the divergence-free vector field is relatively compact and converges to a Leray weak solution of the incompressible Navier–Stokes equation. By exploiting the wave equation structure of the density fluctuation we achieve the convergence of the approximating sequences by means of a dispersive estimate of the Strichartz type. |
| Handle: | http://hdl.handle.net/11697/2898 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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