WELL-POSEDNESS IN CRITICAL SPACES FOR A MULTI-DIMENSIONAL COMPRESSIBLE VISCOUS LIQUID-GAS TWO-PHASE FLOW MODEL

摘要

This paper is dedicated to the study of the Cauchy problem for a compressible viscous liquid-gas two-phase flow model in R-N (N >= 2). We concentrate on the critical Besov spaces based on the L-p setting. We improve the range of Lebesgue exponent p, for which the system is locally well-posed, compared to [22]. Applying Lagrangian coordinates is the key to our statements, as it enables us to obtain the result by means of Banach fixed point theorem.