J. Korean Math. Soc. 2003; 40(6): 1031-1050
Printed November 1, 2003
Copyright © The Korean Mathematical Society.
Hi Jun Choe and Bum Ja Jin
Yonsei University, Seoul National University
In this paper, we assume a density with integrability on the space $L^{\infty}(0,T; L^{q_0})$ for some $q_0$ and $T>0$. Under the assumption on the density, we obtain a regularity result for the weak solutions to the compressible Navier-Stokes equations. That is, the supremum of the density is finite and the infimum of the density is positive in the domain $ {\mathbf T}^3\times (0,T)$. Moreover, Moser type iteration scheme is developed for $L^\infty$ norm estimate for the velocity.
Keywords: compressible, regularity, generalized solution
MSC numbers: Primary 76N10, 35D10
2017; 54(3): 909-943
2016; 53(5): 1019-1036
1996; 33(4): 735-745
1997; 34(3): 581-598
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd