索波列夫空间
独特性
压缩性
数学
指数函数
数学分析
玻尔兹曼方程
纳维-斯托克斯方程组
物理
机械
热力学
作者
Young-Pil Choi,Jinwook Jung
标识
DOI:10.1142/s0218202524500039
摘要
Sprays are complex flows constituted of dispersed particles in an underlying gas. In this paper, we are interested in the equations for moderately thick sprays consisting of the compressible Navier–Stokes (NS) equations and Boltzmann BGK equation. Here the coupling of two equations is through a friction (or drag) force which depends on the density of compressible fluid and the relative velocity between particles and fluid. For the NS–BGK system, we establish the existence and uniqueness of solutions in Sobolev spaces with exponential weight.
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