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摘要
This Note deals with a short-time existence result for a system of nonlinear partial differential equations modelling a diphasic flow. The so-called DLMN system is derived from the compressible Navier-Stokes equations under the assumption that the Mach number is small. A classical solution is obtained by means of a Picard iteration process. The proof of convergence relies on estimates associated to hyperbolic and parabolic equations. This procedure results in conditions on the time of existence of the solution.
- 出版日期2012-1
