三维流体-粒子相互作用模型:Flowing Regime模型的局部解问题

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1173-1192.

三维流体-粒子相互作用模型:Flowing Regime模型的局部解问题

郑琳^1,*(),王术¹,李林锐²

¹ 北京工业大学应用数理学院北京 100124
² 防灾科技学院基础部河北三河 065201

收稿日期:2017-11-10 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 郑琳 E-mail:zhenglin0103@emails.bjut.edu.cn
基金资助:
国家自然科学基金(11371042)

Local Classical Solutions of 3D Fluid-Particle Interaction Model: The Flowing Regime

Lin Zheng^1,*(),Shu Wang¹,Linrui Li²

¹ College of Applied Sciences, Beijing University of Technology, Beijing 100124
² Basic Courses Department, Institute of Disaster Prevention, Hebei Sanhe 065201

Received:2017-11-10 Online:2018-12-26 Published:2018-12-27
Contact: Lin Zheng E-mail:zhenglin0103@emails.bjut.edu.cn
Supported by:
the NSFC(11371042)

摘要/Abstract

摘要：

该文主要研究了三维流体-粒子相互作用模型：Flowing Regime模型在全空间中的Cauchy问题.证明了局部强解的存在性和唯一性，通过推导强解的光滑性得到了一个局部经典解.

关键词: Flowing Regime模型, 局部解, Sobolev嵌入

Abstract:

In this paper, we concerned with the Cauchy problem for 3D fluid-particle interaction model in the so-called Flowing regime with vacuum in ${{\mathbb{R}}^{3}} $. We prove both existence and uniqueness of the local strong solution, and then obtain a local classical solution by deriving the smooth effect of the strong solution for t > 0.

Key words: Flowing Regime, Local solution, Sobolev embedding

中图分类号:

O175.29

郑琳,王术,李林锐. 三维流体-粒子相互作用模型:Flowing Regime模型的局部解问题[J]. 数学物理学报, 2018, 38(6): 1173-1192.

Lin Zheng,Shu Wang,Linrui Li. Local Classical Solutions of 3D Fluid-Particle Interaction Model: The Flowing Regime[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1173-1192.

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