Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1173-1192.

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

Lin Zheng1,*(),Shu Wang1,Linrui Li2   

  1. 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)

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

CLC Number: 

  • O175.29
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