Motion of a rigid body in a viscous fluid |
| |
| Institution: | 1. Dipartimento di Fisica, Università degli studi di Bari and INFN, Sezione di Bari, Via Amendola 173, 70126 Bari, Italy;2. Istituto Applicazioni Calcolo, CNR, Via Amendola 122/D, 70126 Bari, Italy;1. Department of Mathematics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech Republic;2. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia;1. CMAF/University of Lisbon, Portugal;2. Institute of Mathematics, Žitná 25, 115 67 Praha 1, Czech Republic |
| |
| Abstract: | We introduce a concept of weak solution for a boundary value problem modelling the motion of a rigid body immersed in a viscous fluid. The time variation of the fluid's domain (due to the motion of the rigid body) is not known a priori, so we deal with a free boundary value problem. Our main theorem asserts the existence of at least one weak solution for this problem. The result is global in time provided that the rigid body does not touch the boundary. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
