The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows |
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| Authors: | Huan Sun Chun Liu |
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| Institution: | 1. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA;2. Institute for Mathematics and its Applications (IMA), University of Minnesota, 114 Lind Hall, 207 Church Street S.E., Minneapolis, MN 55455-0134, USA;1. Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, 4 place Jussieu, 75005 Paris, France;2. Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Sharada Nagar, Chikkabommasandra, Bangalore 560065, India;3. Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom;1. City College of Science and Technology, Chongqing University, Chongqing, 402167, PR China;2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, PR China;1. I3M, Université Montpellier 2, CC 051, 34090 Montpellier, France;2. Inria, LEMON team, 860 rue Saint-Priest, Bt 5 CC 05 017, F-34095 Montpellier, France;3. Laboratoire de Mathématiques Jean Leray, Université de Nantes, France;1. Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana, P.O. Box 2964, Ljubljana, 1001, Slovenia;2. Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia |
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| Abstract: | This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier–Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids. |
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