Strong solutions for the fluid–solid systems in a 2-D domain

Article type: Research Article

Authors: Wang, Chao^;

Affiliations: Beijing International Center For Mathematical Research, Peking University, Peking, China | Institut de Mathematiques de Jussieu, CNRS UMR 7586, University Paris 7, 175 rue du Chevaleret, 75013 Paris. E-mail: wangchao@amss.ac.cn

Abstract: In this paper, we study the dynamics of a solid body moving in a 2-D fluid flow with slip boundary conditions. The boundaries of the container and the solid belong to C1,1. First, we prove existence and uniqueness of a strong solution up to collision. Second, we consider the influence of curvature of the solid boundary on the contact problem under slip boundary conditions.

Keywords: 2-D, fluid-solid, well-posedness, slip boundary condition, collision

DOI: 10.3233/ASY-141230

Journal: Asymptotic Analysis, vol. 89, no. 3-4, pp. 263-306, 2014