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Regularity of weak solution of the compressible Navier-Stokes equations with self-consistent Poisson equation by Moser iteration
AIMS Mathematics 2023, 8(10): 22944-22962
Published: 15 October 2023
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In this paper, we consider the regularity of the weak solution to the compressible Navier-Stokes-Poisson equations in period domain Ω R 3 provided that the density ρ ( t , x ) with integrability on the space L ( 0 , T ; L q 0 ( Ω ) ) where q 0 satisfies a certain condition and T > 0, by which we could present that sup t , x ρ ( t , x ) < and inf t , x ρ ( t , x ) > 0. Furthermore, we develop the estimate for the velocity u L by the Moser iteration method and Gronwall inequality.

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