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On a Lp-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions |
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| Authors: | Piotr Bogus?aw Mucha Wojciech M. Zaj?czkowski |
| Affiliation: | a Institute of Applied Mathematics and Mechanics, Warsaw University ul. Banacha 2, 02-097 Warsaw, Poland b Institute of Mathematics, Polish Academy of Sciences ul. ?niadeckich 8, 00-950 Warsaw, Poland |
| Abstract: | In this paper a special Lp-estimate for the linearized compressible Navier-Stokes in the Lagrangian coordinates for the Dirichlet boundary conditions is obtained. The constant in the estimate does not depend on the length of time interval [0,T]. The result is essential to obtain an existence for regular solutions for the nonlinear problem with the lowest class of regularity in Lp-spaces. |
| Keywords: | 35Q30 76Q10 |
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