Memoirs of the American Mathematical Society 2013; 89 pp; softcover Volume: 226 ISBN10: 0821887734 ISBN13: 9780821887738 List Price: US$72 Individual Members: US$43.20 Institutional Members: US$57.60 Order Code: MEMO/226/1060
 The authors study the unconstrained (free) motion of an elastic solid \(\mathcal B\) in a NavierStokes liquid \(\mathcal L\) occupying the whole space outside \(\mathcal B\), under the assumption that a constant body force \(\mathfrak b\) is acting on \(\mathcal B\). More specifically, the authors are interested in the steady motion of the coupled system \(\{\mathcal B,\mathcal L\}\), which means that there exists a frame with respect to which the relevant governing equations possess a timeindependent solution. The authors prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of \(\mathcal B\) satisfies suitable geometric properties. Table of Contents  Introduction
 Notation and preliminaries
 Steady free motion: Definition and formulation of the problem
 Main result
 Approximating problem in bounded domains
 Proof of main theorem
 Bodies with symmetry
 Appendix A. Isolated orientation
 Bibliography
