等熵过程
数学
压缩性
数学分析
纳维-斯托克斯方程组
弱解
标识
DOI:10.1080/03605309708821291
摘要
Regularity of weak solutions of the compressible isentropic Navier-Stokes equations is proven for small time in dimension N = 2 or 3 under periodic boundary conditions. In this paper, the initial density is not required to have a positive lower bound and the pressure law is assumed to satisfy a condition that reduces to τ > 1 when N = 2 and p(φ) = aφτ. Moreover,weak solutions in T2turn out to be smooth as long as the density remains bounded in L∞( T2).
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