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On the asymptotic analysis of the Boltzmann equation tending towards the Stokes equations |
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| Authors: | A. Bellouquid |
| Affiliation: | Department of Mathematics, Politecnico of Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy Department of Mathematics, University Cadi Ayyad, Ecole Nationale des Siences Appliquées, Safi, Maroc |
| Abstract: | This work deals with the analysis of the asymptotic limit for the Boltzmann equation tending towards the linearized Navier–Stokes equations when the Knudsen number tends to zero. Global existence and uniqueness theorems are proven for regular initial fluctuations. As tends to zero, the solution converges strongly to the solution of the linearized Navier–Stokes systems. |
| Keywords: | Boltzmann equation Stokes equations Asymptotic convergence Existence |
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