Biomedical Engineering Reference
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21. E. Feireisl, On the motion of rigid bodies in a viscous compressible fluid. Arch. Ration. Mech.
Anal. 167 (4), 281-308 (2003)
22. H. Fujita, N. Sauer, On existence of weak solutions of the Navier-Stokes equations in regions
with moving boundaries. J. Fac. Sci. Univ. Tokyo Sect. I 17 , 403-420 (1970)
23. G.P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations .
Steady-State Problems, Springer Monographs in Mathematics, 2nd edn. (Springer, New York,
2011)
24. G.P. Galdi, A.L. Silvestre, Strong solutions to the problem of motion of a rigid body in a
Navier-Stokes liquid under the action of prescribed forces and torques, in Nonlinear Problems
in Mathematical Physics and Related Topics, I . International Mathematical Series (N. Y.), vol. 1
(Kluwer/Plenum, New York, 2002), pp. 121-144
25. M. Geissert, K. Götze, M. Hieber, L p -theory for strong solutions to fluid-rigid body interaction
in Newtonian and generalized Newtonian fluids. Trans. Am. Math. Soc. 365 (3), 1393-1439
(2013)
26. D. Gérard-Varet, M. Hillairet, Regularity issues in the problem of fluid structure interaction.
Arch. Ration. Mech. Anal. 195 (2), 375-407 (2010)
27. D. Gérard-Varet, M. Hillairet, Computation of the drag force on a sphere close to a wall: the
roughness issue. ESAIM Math. Model. Numer. Anal. 46 (5), 1201-1224 (2012)
28. D. Gérard-Varet, M. Hillairet, Existence of weak solutions up to collision for viscous fluid-
solid systems with slip. http://hal.archives-ouvertes.fr/hal-00713331 (2012)
29. D. Gérard-Varet, M. Hillairet, C. Wang, Influence of boundary conditions on the contact
problem in a 3d incompressible flow. http://hal.archives-ouvertes.fr/hal-00795366 (2013)
30. O. Glass, F. Sueur, Uniqueness results for weak solutions of two-dimensional fluid-solid
systems (March 2012). arXiv:1203.2894v1
31. T. Goudon, P.-E. Jabin, A. Vasseur, Hydrodynamic limit for the Vlasov-Navier-Stokes equa-
tions. I. Light particles regime. Indiana Univ. Math. J. 53 (6), 1495-1515 (2004)
32. T. Goudon, P.-E. Jabin, A. Vasseur, Hydrodynamic limit for the Vlasov-Navier-Stokes equa-
tions. II. Fine particles regime. Indiana Univ. Math. J. 53 (6), 1517-1536 (2004)
33. C. Grandmont, Y. Maday, Existence de solutions d'un problème de couplage fluide-structure
bidimensionnel instationnarie. C. R. Acad. Sci. Paris Sér. I Math. 326 (4), 525-530 (1998)
34. C. Grandmont, Y. Maday, Existence for an unsteady fluid-structure interaction problem. M2AN
Math. Model. Numer. Anal. 34 (3), 609-636 (2000)
35. M.D. Gunzburger, H.-C. Lee, G.A. Seregin, Global existence of weak solutions for viscous
incompressible flows around a moving rigid body in three dimensions. J. Math. Fluid Mech.
2 (3), 219-266 (2000)
36. V. Gyrya, K. Lipnikov, I.S. Aranson, L. Berlyand, Effective shear viscosity and dynamics of
suspensions of micro-swimmers from small to moderate concentrations. J. Math. Biol. 62 (5),
707-740 (2011)
37. T.I. Hesla, Collisions of smooth bodies in viscous fluids: a mathematical investigation. Ph.D.
thesis, University of Minnesota, revised version, October 2005
38. M. Hillairet, Lack of collision between solid bodies in a 2D incompressible viscous flow.
Commun. Partial Differ. Equ. 32 (7-9), 1345-1371 (2007)
39. M. Hillairet, T. Takahashi, Collisions in three-dimensional fluid structure interaction problems.
SIAM J. Math. Anal. 40 (6), 2451-2477 (2009)
40. M. Hillairet, T. Takahashi, Blow up and grazing collision in viscous fluid solid interaction
systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (1), 291-313 (2010)
41. M. Hillairet, A. Lozinski, M. Szopos, Simulation of particulate flow governed by lubrication
forces and far-field hydrodynamic interactions. Discrete Continuous Dyn. Syst. Ser. B 11 , 935-
956 (2011)
42. L. Hocking, The effect of slip on the motion of a sphere close to a wall and of two adjacent
spheres. J. Eng. Mech. 7 , 207-221 (1973)
43. K.-H. Hoffmann, V. Starovoitov, On a motion of a solid body in a viscous fluid. Two-
dimensional case. Adv. Math. Sci. Appl. 9 (2), 633-648 (1999)
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