References

Biohydrodynamics Toolbox   

References

Fluid-structure systems are addressed in a huge number of scientific publications. The list we provide here is far for being comprehensive and includes only a few of them.

1. F. Alouges, A. Lefebvre, and A. DeSimone.
   Swimming at low reynolds number at optimal strokes: An example.
   J. of Non Linear Science. To appear.
2. K. E. Atkinson. The Numerical Solution of Integral Equations of the Second Kind.
   Cambridge University Press, 1997.
3. A. Bressan.
   Impulsive control of Lagrangian systems and locomotion in fluids.
   Discrete Contin. Dyn. Syst., 20(1):1–35, 2008.
4. J. Carling, T. Williams, and G Bowtell.
   Self-propelled anguilliform swimming: simultaneous solution of the two-dimentional navier-stokes equations and newton’s laws of motion.
   J. of Experimental Biology, 201:3143–3166, 1998.
5. S. Childress.
   Mechanics of swimming and flying, volume 2 of Cambridge Studies in Mathematical Biology.
   Cambridge University Press, Cambridge, 1981.
6. G-. P. Galdi.
   On the steady self-propelled motion of a body in a viscous incompressible fluid.
   Arch. Ration. Mech. Anal., 148(1):53–88, 1999.
7. G-. P. Galdi.
   On the motion of a rigid body in a viscous liquid: a mathematical analysis with applications.
   In Handbook of mathematical fluid dynamics, Vol. I, pages 653–791. North-Holland, Amsterdam, 2002.
8. J. Houot and A. Munnier.
   On the motion and collisions of rigid bodies in an ideal fluid.
   Asymptot. Anal., 56(3-4):125–158, March 2008.
9. E. Kanso, J. E. Marsden, C. W. Rowley, and J. B. Melli-Huber.
   Locomotion of articulated bodies in a perfect fluid.
   J. Nonlinear Sci., 15(4):255–289, 2005.
10. S. D. Kelly and R. M. Murray.
    Modelling efficient pisciform swimming for control.
    Internat. J. Robust Nonlinear Control, 10(4):217–241, 2000. Control of underactuated nonlinear systems.
11. V. V. Kozlov and D. A. Onishchenko.
    Motion of a body with undeformable shell and variable mass geometry in an unbounded perfect fluid.
    J. Dynam. Differential Equations, 15(2-3):553–570, 2003. Special issue dedicated to Victor A. Pliss on the occasion of his 70th birthday.
12. V. V. Kozlov and D. A. Onishchenko.
    On the motion in an ideal fluid of a body containing a moving concentrated mass.
    Prikl. Mat. Mekh., 67(4):620–633, 2003.
13. H. Lamb.
    Hydrodynamics.
    Cambridge Mathematical Library. Cambridge University Press, Cambridge, sixth edition, 1993. With a foreword by R. A. Caflisch [Russel E. Caflisch].
14. H. Liu and K. Kawachi.
    A numerical study of undulatory swimming.
    J. comput. phys., 155(2):223–247, 1999.
15. R. Mason.
    Fluid Locomotion and Trajectory Planning for Shape-Changing Robots.
    Ph.d. thesis, California Institute of Technology, Department ofMechanical Engineering, June 2003.
16. J. B. Melli, Rowley C. W., and D. S. Rufat.
    Motion planning for an articulated body in a perfect fluid.
    SIAM J. on Applied Dynamical Systems, 2006. To appear.
17. A. Munnier.
    On the self-displacement of deformable bodies in a potential fluid flow.
    Math. Models Methods Appl. Sci., 2008. To appear.
18. A. Munnier.
    Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms.
19. J. H. Ortega, L. Rosier, and T. Takahashi.
    Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid.
    M2AN Math. Model. Numer. Anal., 39(1):79–108, 2005.
20. J. San Martin, J. F. Scheid, T. Takahashi, and M. Tucsnak.
    An initial and boundary problem modeling fish-like swimming.
    Arch. Ration. Mech. Anal., 2008. To appear.
21. J. A. Sparenberg.
    Survey of the mathematical theory of fish locomotion.
    J. Engrg. Math., 44(4):395–448, 2002.
22. M. S. Triantafyllou, G. S. Triantafyllou, and D. K. P. Yue.
    Hydrodynamics of fishlike swimming.
    In edition, 1993.With a foreword by R. A. Caflisch [Russel E. Caflisch].
23. H. Liu and K. Kawachi.
    A numerical study of undulatory swimming.
    J. comput. phys., 155(2):223–247, 1999.
24. R. Mason.
    Fluid Locomotion and Trajectory Planning for Shape-Changing Robots.
    Ph.d. thesis, California Institute of Technology, Department ofMechanical Engineering, June 2003.
25. J. B. Melli, Rowley C. W., and D. S. Rufat.
    Motion planning for an articulated body in a perfect fluid.
    SIAM J. on Applied Dynamical Systems, 2006. To appear.
26. A. Munnier.
    On the self-displacement of deformable bodies in a potential fluid flow.
    Math. Models Methods Appl. Sci., 2008. To appear.
27. A. Munnier.
    Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms.
28. J. H. Ortega, L. Rosier, and T. Takahashi.
    Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid.
    M2AN Math. Model. Numer. Anal., 39(1):79–108, 2005.
29. J. San Martin, J. F. Scheid, T. Takahashi, and M. Tucsnak.
    An initial and boundary problem modeling fish-like swimming.
    Arch. Ration. Mech. Anal., 2008. To appear.
30. J. A. Sparenberg.
    Survey of the mathematical theory of fish locomotion.
    J. Engrg. Math., 44(4):395–448, 2002.
31. M. S. Triantafyllou, G. S. Triantafyllou, and D. K. P. Yue.
    Hydrodynamics of fishlike swimming.
    In Annual review of fluid mechanics, Vol. 32, volume 32 of Annu. Rev. Fluid Mech., pages 33–53. Annual Reviews, Palo Alto, CA, 2000
32. T. Y. Wu.
    Mathematical biofluiddynamics and mechanophysiology of fish locomotion.
    Math. Methods Appl. Sci., 24(17-18):1541–1564, 2001. Biofluiddynamics.

2008 - A. Munnier and B. Pincon (Insitut Elie Cartan and INRIA Lorraine, Projet CORIDA, Nancy, France).