Navier-Stokes-Darcy模型强解的局部适定性  

Local well-posedness of strong solutions of Navier-Stokes-Darcy system

作　　者：高宁宁 徐夫义 GAO Ningning;XU Fuyi(School of Mathematics,Northwest University,Xi'an 710127,China;School of Mathematics and Statistics,Shandong University of Technology,Zi'bo 255049,China)

机构地区：[1]西北大学数学学院,陕西西安710127 [2]山东理工大学数学与统计学院,山东淄博255049

出　　处：《纯粹数学与应用数学》2025年第1期58-70,共13页Pure and Applied Mathematics

基　　金：国家自然科学基金项目(11771043).

摘　　要：本文研究三维空间中水平方向无限的条形区域下,Navier-Stokes-Darcy模型强解的局部适定性.主要基于方程的结构和一些插值不等式建立方程组的先验估计,进而利用标准的迭代方法证明解的局部适定性.其中,Dirichlet-Neumann算子的性质在证明中起着关键作用.In this paper,we focus on the local well-posedness of strong solutions of Navier-Stokes-Darcy System in 3D horizontally infinite strip domain.A priori estimation of the solution is established based on the structure of the equations and some interpolation inequalities,then the local well-posedness of the solution is proved by standard iterative methods.It is worth noting that the properties of the Dirichlet-Neumann operator play an important role in the proof.

关 键 词：Navier-Stokes-Darcy模型 Dirichlet-Neumann算子 插值不等式 

分 类 号：O175.2[理学—数学]