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3 Dec 2022: 2.2.3 General Charge Distributions 20. 2.2.4 Field Lines 23. 2.2.5 Electrostatic Equilibrium 24.

10 Apr 2011: www.sciencemag.org SCIENCE VOL 325 24 JULY 2009 489. REPORTS. on. July. ... 24 JULY 2009 VOL 325 SCIENCE www.sciencemag.org490. REPORTS. on. July. 24,.

26 Jul 2013: 061701-2 Michelin, Lauga, and Bartolo Phys. Fluids 25, 061701 (2013). by interfacial stresses arising from the self-generated gradients of reactive surfactants.21, 24, 25 Unlikeautophoretic Janus particles, which swim ... Mater. 24, 811–816 (2012).7 P.

6 Jan 2023: Can we do better? 24/36. 𝑚th order rational “smoothing” kernels:. 𝐾 𝑥 =1. ... Slide 19. Slide 20. Slide 21. Slide 22. Slide 23. Slide 24: Why study these foundations?

10 Apr 2011: J. Colloid Interface Sci. 1981, 81, 531-535.(24) Adler, P. M. J. ... Scale bar is 2 mm. Letters Langmuir, Vol. 21, No. 24, 2005 10917.

14 Nov 2019: Phys. J. E (2015) 38: 7. portant similarities with self-thermophoresis [24] or theself-propulsion of droplets through Marangoni effects, forwhich the slip velocity is replaced with a surface shearstress discontinuity ... 1 µ cosh τcosh τ µ eρ, (24).

19 Feb 2019: 2ψ̈ μ4 sin ψ. 1 μ cos ψ[. 24 32. ψ̇ 2 14. ... ε2 = 1 (1 D). (24)We therefore expand. ψ (σ ) = ε[ψ0 (σ ) εψ1 (σ ) ε2ψ2 (σ ) O. (

10 Apr 2011: Each 24 mm3 18 mm image was obtained by subtracting twsuccessive images taken 30 sec. ... Mikhailov, Foundations of Synergetics I(Springer-Verlag, New York, 1994). [24] J. Buck, Q.

7 Nov 2017: The collective behaviour of Bacillus subtilis swarms and theirinteractions has been shown to depend on the geometry of the enclosing cavities [24]. ... Rev. Fluid Mech. 24. 313–58[5] Guasto J S, Rusconi R and Stocker R 2012 Fluid mechanics of

26 Jul 2013: metrical model for dinoflagellates.24,25 A dinoflagellate can. FIG. 1. (Color online) (a) Notation for. ... Julicher, “Generic aspects of axonemal beating,” New J. Phys. 2, 24 (2000).11T.

10 Apr 2011: xj ij4s 1 Gas 2 1jsss. (10). Numerical solution [24] of (10) yields a critical valueac 8.9G [confirming dimensional analysis of Eq. ... Mod. Phys. 65, 851. (1993).[24] W. H. Press, W. T. Vetterling, S.

3 Dec 2022: 2. Zd3r0 r0 J(r0) (3.24). Just as in the electric case, the multipole expansion continues to higher terms. ... 3.24),. B(r) =µ04. 3(m1 r̂)r̂ m1. r3. (3.30). Now we’ll consider how this aects the second dipole m = m2.

24 Jun 2007: Could generalise to F theory with ds2 = g(2,2) dx82. Dunajski (DAMTP, Cambridge) ASD in ( ) 27 March 2007 24 / 26.

12 Nov 2023: 1m, (vi) 1. n1. (c)(i) 1. 24, (ii) 8/693, (iii) (7/2048)π.

27 May 2021: B. Microsphere motion. The dynamics of a microsphere forced by an optical trap whose position is laterally oscillated isa well-studied problem [24]. ... Phys. 1, 28 (2018).[24] K. C. Neuman and S. M. Block, Optical trapping, Rev.

1 Oct 2016: For example, some eukaryoticmicroorganisms have evolved hairs along their flagella calledmastigonemes [23,24]. ... F(t ) = ζ. Udef ds = {0,0,0}, (24). L(t ) = ζ.

10 Apr 2011: microscope stage at 24 C. ... See [3]. [16] J. Lighthill, Mathematical Biofluiddynamics (SIAM,Philadelphia, 1975). [17] Fiber density at 24 C in TB is 1.015 gcm3 from thesedimentation velocity y 29R2Drgh of fiber-ballstructures of

6 Jul 2020: magnetic,5 electrostatic,18 or hydrodynamic forces.24 In recentyears, synthetic swimmers actuated by external fields, chemicalfuels or bacteria have been attracting attention and been employedsuccessfully for the transport of cargo ... 23 See ESI†.24 A.

26 Jul 2013: However, as expected, thecapillary attraction leads to an additional compressive load (theUk2 term in eqn (24)). ... 1999, 82, 1991.24 B. J. Reynwar, G. Illya, V. A. Harmandaris, M.

10 Apr 2011: However,the deepest energetic minima occur for axisymmetricwires [24], and axisymmetry, once present, is preservedby the diffusion equation, so that Jahn-Teller distortionsare most likely suppressed dynamically. ... 24] D. F. Urban, J. Bürki, C.-H.

21 Oct 2014: The GK Batchelor Laboratory of Fluid Dynamics Dr. S.B. Dalziel, Director of the Fluid Dynamics Laboratory, Department of Applied Mathematics & Theoretical Physics. But I thought this is a maths de-partment! This is often the re-sponse when someone

24 Aug 2023: used to prove the following standard theorem:. Theorem 6.24 (Dolbeault’s theorem).

19 Dec 2012: 24 • • 25. οργανώθηκε η κοινωνία μας τα τελευταία 40 χρόνια, αφετέ-ρου δε, της πληθώρας ευτελών μηνυμάτων που, με τη βοή-θεια Μέσων Μαζικής

19 Oct 2012: Instead, we adopt a new approach by adapting aclosure of Hinch and Leal [24] to d 2, yielding. ... G. Woodhouse and R. E. Goldstein (unpublished).[24] E. J. Hinch and L.

8 Sep 2020: f (ξ ) = R3δ(ξ R1 ), (24)and so the flow is simply given by. ... 24] using a solution obtained with the use of flow potentialsand sphere theorems.

16 Jul 2018: Phys. Fluids 24, 061901 (2012). 18. Lauga, E. Bacterial hydrodynamics. Annu. ... 24. Johnson, R. E. An improved slender-body theory for Stokes flow.

24 Aug 2009: http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. J. Fluid Meoh. ... http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. 470 H. A.

25 Jul 2014: Received: 24 May 2013 / Accepted: 25 November 2013Published online: 24 April 2014 – Springer-Verlag Berlin Heidelberg 2014. ... ̂α :=(π̂A′α̂A. )=. (πA′. αA ϒA B′π B′). (4.24). Our approach is very much in the spirit of [2].

14 Nov 2019: Boundary element methods have long been usedto study problems in bacteria locomotion including flagellarpropulsion,23 interaction between two swimming bacteria,24.

31 Dec 2015: 2p 1)" 2p1. L. x. 2+. 2q1Ly. 2# ez, (24). while the sensitivity on the vertical walls Hvert(y) at x = 0 and x = Lx can be obtained by symmetry.The ... Rev. Lett. 99, 048102 (2007).24 R. Golestanian, T. B. Liverpool, and A.

12 Jul 2017: 25 and 38 have gas fractions 26–55%; the gratings in ref.24 have g '1 mm). ... Phys Fluids 24:112003. 24. Bolognesi G, Cottin-Bizonne C, Pirat C (2014) Evidence of slippage breakdown for asuperhydrophobic microchannel.

26 Jul 2013: without tail flexibilityno swimming can occur.5, 24 The second swimmer has a flat rubber tail (L = 20.5 mm, thickness t= 0.8 mm, width w = 3.4 mm, E = ... Rev. Lett. 80, 3879–3882 (1998).24 See supplementary material at

10 Apr 2011: Therefore, we expect the MSC to describe fronpropagation at smalla if it applies at all [24]. ... 23] H. Lamb, Hydrodynamics(Cambridge University Press,Cambridge, England, 1993), 6th ed. [24] Preliminary numerical studies by D.

26 Jul 2013: Here, the first effect of inertia is the appear-ance of a lift force directed across the undisturbedstreamlines.13,23,24 The original study, due to Saffman,23,24.

10 Sep 2021: Active Brownian motion tunable by light. J. Phys. Condens. Matter 24, 284129 (2012). ... Soft Matter 16, 4961–4968 (2020). 24. Shao, J. et al. Erythrocyte membrane modified Janus polymeric motors for thrombus therapy.

26 Jul 2013: Fluid Mech. 24, 313–358 (1992). 071904-16 Y. Man and E. Lauga Phys. ... Soft Matter 7, 8169–8181 (2011).24 L. Zhang, K. E. Peyer, and B.

8 Jul 2021: Since all the prefactors in Eq. (24), including r2and 〈y1, y2〉, are positive numbers, the phase difference (2)0 isthe linearly stable solution to Eq. ... 24) is not entirelyequivalent to the Adler’s equation. It is important to note thatboth r2 and.

22 Jan 2019: In Ref. [24], electronmicroscopy images of the flagellotropic χ phage, shown in Figs. ... coli [24]. The head measures 65–67.5 nm between the parallel sides ofthe hexagon [24].

26 Jul 2013: be. L. L. a. V(z). Wetted. 0 s. 0 s. 24.5 s. ... Phys. Rev. Lett. 96, 186102 (2006).23. Squires, T. M. Phys. Fluids 20, 092105 (2008).24.

22 Jan 2018: and slender-body theory (SBT)24,25 to model the flow induced by the rotating flagellar filamentsof the trapped bacteria. ... Mater. 24, 811–816 (2012).33X. Chen and H. C. Berg, “Torque-speed relationship of the flagellar rotary motor of Escherichia

5 Nov 2014: Sp = (ηω/κk3)1/3, which quantifies the dimensionlessratio of fluid to bending stresses [24]. ... Phys., 2 (2000). 24.[23] Evans A. A. and Lauga E., Phys.

26 Jul 2013: J2k1/2(2πMa) cos 2kψ cos 2nψ (k 0). (2.24). Equation (2.24) is a symmetric infinite system of linear equations for the coefficients{cn; n 0}. ... The correspondingsolution of (2.24) is. c0 =4a. 3π. DL, cn = 0 (n > 0), (2.29).

2 Jan 2024: Open Sci. 10:230223. https://doi.org/10.1098/rsos.230223. Received: 24 February 2023. Accepted: 30 May 2023. ... Existing theoretical literature onsquirmers echoes the significant influence of boundaries and confinement on their dynamics [24].

30 Oct 2019: 24). This requires B(r) and S(r) to have the same Taylor expansion aroundthe point of interest, r. ... 39). The above integral is the single-layer boundary integral representation for flow around a translatingsphere [24].

17 Nov 2020: rL, (24). which is the same estimate as the one dimensional case for boundedd. ... The network weights are providedby the authors of [57] and had been trained on de-identified brainimages from the MGH–USC HCP dataset [24] where the image.

10 Apr 2011: Using magnetic beads [24], the flagellummay be rotated, permitting full examination of flagellarresponses to fluid drags and applied torques. ... J. 74, 1043 (1998).[23] D. Coombs, Ph.D. thesis, University of Arizona, 2001.[24] T.

26 Jul 2013: One such model is con-sidered in the discussion FENE-P, and we obtain the sameresults see also 24. ... S. Suarez and X. B. Dai, Biol. Reprod. 46, 686 1992.24 E.

1 Oct 2016: Other measurements reports significantly larger sizes, withwidths that can range 100–300 µm and length 200–500 µm[21, 23, 24]. ... hydrodynamics and flow sensing. Annu Rev Fluid Mech. (2016) 48:1–24. doi:.

19 Jul 2018: Thus the space oforbits of K2 in MC admits a Toda Einstein–Weyl structure [3, 24].• There exists a combination of self-dual two-forms which is degenerate when the harmonic. ... Roy. Soc. A363 (1978) 289–295.24. R. S. Ward, ‘Einstein-Weyl spaces

28 May 2014: First published online 24 April 2014. 139. Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs. ... Proc. Amer. Math. Soc. 125 (1997), 407. [24] F. NAKATA. A construction of Einstein-Weyl spaces via LeBrun-Mason type twistor