流体力学方程的应用和研究在数学物理领域被广泛的关注, 其中多种流体模型更是当前研究的热点之一.对多种流体模型的研究, 有助于人们更广泛地了解流体粒子的运动规律以及流体之间的相互作用, 也能更生动地描述自然界的物理现象, 因此在对非线性偏微分方程的理论研究中, 多种混合流体的研究属于核心课题. 本项目以高维不可压混合流体模型为研究对象, 将两种介质看成是一种混合得非常均匀的混合物, 进而研究该模型解的存在性和唯一性. 本项目所取得的成果将有助于人们了解混合流体的运动规律, 丰富相关数学理论.

Research and application of hydrodynamic equations is widespreadly concerned in the field of mathematical physics, and multi-fluid model is one of the focuses of current research. The research on multi-fluid model can help us further understanding the motion of fluid particles and the interaction among the fluids. Moreover, it vividly describes the nature of physical phenomena. So mixed multiple fluid is part of the core issues in the field of onlinear partial differential equations. This project studies the existence and uniqueness of the solutions for high-dimensional incompressible mixed fluid model. The results of research will help us to understand the motion of mixed fluid, and enrich relevant mathematical theory.