메뉴 건너뛰기




Volumn 65, Issue 3, 2007, Pages 405-424

A control theoretic approach to the swimming of microscopic organisms

Author keywords

[No Author keywords available]

Indexed keywords

REYNOLDS NUMBER; RIGID STRUCTURES; VELOCITY;

EID: 46649086335     PISSN: 0033569X     EISSN: 15524485     Source Type: Journal    
DOI: 10.1090/s0033-569x-07-01045-9     Document Type: Article
Times cited : (39)

References (20)
  • 1
    • 0030103075 scopus 로고    scopus 로고
    • Ciliary propulsion, chaotic filtration and a "blinking" Stokeslet
    • The centenary of a paper on slow viscous flow by the physicist H. A. Lorentz. MR1396365 97e:76098
    • J. R. Blake and S. R. Otto, Ciliary propulsion, chaotic filtration and a "blinking" Stokeslet, J. Engrg. Math. 30 (1996), no. 1-2, 151-168, The centenary of a paper on slow viscous flow by the physicist H. A. Lorentz. MR1396365 (97e:76098)
    • (1996) J. Engrg. Math , vol.30 , Issue.1-2 , pp. 151-168
    • Blake, J.R.1    Otto, S.R.2
  • 2
    • 0015595487 scopus 로고
    • A finite model for ciliated micro-organisms
    • J. R. Blake, A finite model for ciliated micro-organisms, J. Biomech. 6 (1973), 133-140.
    • (1973) J. Biomech , vol.6 , pp. 133-140
    • Blake, J.R.1
  • 3
    • 0016383202 scopus 로고
    • An oscillating-boundary-layer theory for ciliary propulsion
    • Christopher Brennen, An oscillating-boundary-layer theory for ciliary propulsion, J. Fluid Mech. 65 (1974), 799-824.
    • (1974) J. Fluid Mech , vol.65 , pp. 799-824
    • Brennen, C.1
  • 4
    • 0001425847 scopus 로고
    • Fluid mechanics of propulsion by cilia and flagella
    • Christopher Brennen and H. Winet, Fluid mechanics of propulsion by cilia and flagella, Ann. Rev. Fluid Mech. 9 (1977), 339-398.
    • (1977) Ann. Rev. Fluid Mech , vol.9 , pp. 339-398
    • Brennen, C.1    Winet, H.2
  • 6
    • 0010533217 scopus 로고    scopus 로고
    • Prolongement unique des solutions de l'equation de Stokes
    • MR1387461 97c:35156
    • Caroline Fabre and Gilles Lebeau, Prolongement unique des solutions de l'equation de Stokes, Comm. Partial Differential Equations 21 (1996), no. 3-4, 573-596. MR1387461 (97c:35156)
    • (1996) Comm. Partial Differential Equations , vol.21 , Issue.3-4 , pp. 573-596
    • Fabre, C.1    Lebeau, G.2
  • 7
    • 46649093139 scopus 로고    scopus 로고
    • Giovanni P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations. I, Springer Tracts in Natural Philosophy, 38, Springer-Verlag, New York, 1994, Linearized steady problems. MR1284205 (95i:35216a)
    • Giovanni P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations. Vol. I, Springer Tracts in Natural Philosophy, vol. 38, Springer-Verlag, New York, 1994, Linearized steady problems. MR1284205 (95i:35216a)
  • 8
    • 0033436676 scopus 로고    scopus 로고
    • Giovanni P. Galdi, On the steady self-propelled motion of a body in a viscous incompressible fluid, Arch. Rational Mech. Anal. 148 (1999), no. 1, 53-88. MR1715453 (2000h:76186)
    • Giovanni P. Galdi, On the steady self-propelled motion of a body in a viscous incompressible fluid, Arch. Rational Mech. Anal. 148 (1999), no. 1, 53-88. MR1715453 (2000h:76186)
  • 9
    • 0346011308 scopus 로고    scopus 로고
    • Giovanni P. Galdi, On the motion of a rigid body in a viscous liquid: A mathematical analysis with applications, Handbook of mathematical fluid dynamics. I, North-Holland, Amsterdam, 2002, pp. 653-791. MR1942470 (2003j:76024)
    • Giovanni P. Galdi, On the motion of a rigid body in a viscous liquid: A mathematical analysis with applications, Handbook of mathematical fluid dynamics. Vol. I, North-Holland, Amsterdam, 2002, pp. 653-791. MR1942470 (2003j:76024)
  • 11
    • 0017480458 scopus 로고
    • A porous prolate-spheroidal model for ciliated micro-organisms
    • S. R. Keller and T. Y. Wu, A porous prolate-spheroidal model for ciliated micro-organisms, J. Fluid Mech. 80 (1977), 259-278.
    • (1977) J. Fluid Mech , vol.80 , pp. 259-278
    • Keller, S.R.1    Wu, T.Y.2
  • 12
    • 84980144465 scopus 로고
    • Analyticity up to the boundary of solutions of nonlinear parabolic equations
    • MR533297 82j:35084
    • Gen Komatsu, Analyticity up to the boundary of solutions of nonlinear parabolic equations, Comm. Pure Appl. Math. 32 (1979), no. 5, 669-720. MR533297 (82j:35084)
    • (1979) Comm. Pure Appl. Math , vol.32 , Issue.5 , pp. 669-720
    • Komatsu, G.1
  • 13
    • 0004029505 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, MR0469320 57:9113
    • James Lighthill, Mathematical biofluiddynamics, Society for Industrial and Applied Mathematics, Philadelphia, 1975. MR0469320 (57:9113)
    • (1975) Mathematical biofluiddynamics
    • Lighthill, J.1
  • 15
    • 0036488716 scopus 로고    scopus 로고
    • Jorge Alonso San Martín, Victor Starovoitov, and Marius Tucsnak, Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Rational Mech. Anal. 161 (2002), no. 2, 113-147. MR1870954 (2002j:35259)
    • Jorge Alonso San Martín, Victor Starovoitov, and Marius Tucsnak, Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Rational Mech. Anal. 161 (2002), no. 2, 113-147. MR1870954 (2002j:35259)
  • 16
    • 0002386342 scopus 로고
    • Chute libre d'un solide dana un fluide visqueux incompressible
    • MR899206 89m:76032
    • Denis Serre, Chute libre d'un solide dana un fluide visqueux incompressible. Existence, Japan J. Appl. Math. 4 (1987), no. 1, 99-110. MR899206 (89m:76032)
    • (1987) Existence, Japan J. Appl. Math , vol.4 , Issue.1 , pp. 99-110
    • Serre, D.1
  • 17
    • 0036814374 scopus 로고    scopus 로고
    • Ana Leonor Silvestre, On the slow motion of a self-propelled rigid body in a viscous incompressible fluid, J. Math. Anal. Appl. 274 (2002), no. 1, 203-227. MR1936694 (2003j:76030)
    • Ana Leonor Silvestre, On the slow motion of a self-propelled rigid body in a viscous incompressible fluid, J. Math. Anal. Appl. 274 (2002), no. 1, 203-227. MR1936694 (2003j:76030)
  • 18
    • 0003626635 scopus 로고    scopus 로고
    • second ed, Texts in Applied Mathematics, Springer-Verlag, New York, Deterministic finite-dimensional systems. MR1640001 99k:93001
    • Eduardo D. Sontag, Mathematical control theory, second ed., Texts in Applied Mathematics, vol. 6, Springer-Verlag, New York, 1998, Deterministic finite-dimensional systems. MR1640001 (99k:93001)
    • (1998) Mathematical control theory , vol.6
    • Sontag, E.D.1
  • 19
    • 2942538767 scopus 로고    scopus 로고
    • Takéo Takahashi and Marius Tucsnak, Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid, J. Math. Fluid Mech. 6 (2004), no. 1, 53-77. MR2027754 (2004k:76035)
    • Takéo Takahashi and Marius Tucsnak, Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid, J. Math. Fluid Mech. 6 (2004), no. 1, 53-77. MR2027754 (2004k:76035)
  • 20
    • 0000862974 scopus 로고
    • Analysis of the swimming of microscopic organisms
    • MR0045521 13:596a
    • Geoffrey Taylor, Analysis of the swimming of microscopic organisms, Proc. Roy. Soc. London Ser. A. 209 (1951), 447-461. MR0045521 (13:596a)
    • (1951) Proc. Roy. Soc. London Ser. A , vol.209 , pp. 447-461
    • Taylor, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.