研究目的
Investigating the time dependent lower bound on density for the general smooth nonisentropic flow of compressible Euler equations.
研究成果
The paper concludes that for any classical nonisentropic solution, the density has a lower bound in the order of O(1 + t)?1, which is in the optimal order by examples provided in the literature.
研究不足
The study is theoretical and focuses on classical solutions of the compressible Euler equations, with limitations on the applicability to solutions including shock waves and the assumption of initial density being uniformly positive.