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19 Oct 2007: dxδ(x) = 1 (1.24). The Fourier transform of the delta-function provides a useful representation that we.

21 Oct 2014: R23/24/25 Toxic by inhalation, in contact with skin and if swallowed. ... R39/24 Toxic: danger of very serious irreversible effects in contact with skin.

8 Nov 2017: Chlamydomonas is a pulleron average but in fact oscillates between instantaneouspusher and puller behaviours [24], potentially interferingwith the development of an instability. ... Rev. FluidMech., 24 (1992) 313. [20] Jibuti L., Qi L., Misbah C.,

1 Dec 2023: Moreover, the onlyexisting models of freeness are semi-empirical and based on the average filter resistance of thecompacting pulp [22–24]. ... 24)The integral of Eq. (22) across the height of the solid also provides the global force balancecondition,.

21 Oct 2014: Volatile Solvent Permits can only be issued within 24 hours of the work commencing. ... skin R39/24/25 Toxic: danger of very serious irreversible effects in contact.

26 Jul 2013: 24),simplifies to. F̂ 〈U2〉=. V0. 〈Σ[u1]〉 :ûdV. (26). 64001-p4. Life at high Deborah number. ... 24] Leal L. G., Annu. Rev. Fluid Mech., 12 (1980) 435.[25] Blake J.

10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics.

14 Nov 2019: foodsources [15–18], behave near boundaries [19–23] and movein complex fluids [24–27]. ... k sin(2k)(13k2 48), (46). mw = 6 cos(2k)(24 48k2 7k4) 4(k6 9k4 36).

3 Aug 2018: Received 24 June 2017; revised manuscript received 27 March 2018; published 3 August 2018). ... 3, 403 (1993).[24] S. Kamimura and R. Kamiya, Nature (London) 340, 476.

13 Apr 2018: 4 inset), cf. elastic fiberbundle models [24]. More generally, the LP approach toAmontons-Coulomb friction problems may have applica-tions in stress transmission in granular media, such as sandpiles and grain ... 13, 848 (2017). [24] S. Pradhan, A. Hansen

13 Feb 2024: Rotletflows arise from (d) the bacterium Escherichia coli under confinement, generating flow field in (e) [24], (f)a magnetic nano stir bar [25], and (g) a macroscopic stirrer [26]. ... 23 eqs. 29-30. Stokeslet Main text eq. 24 eqs. 32-34.Rotlet Appendix

7 Feb 2005: Mathematical Tripos Part IILent 2005. Professor A. Iserles. Numerical Analysis – Lecture 121. Methods 3.25A generalν-stageRunge–Kutta methodis. kl = f. . tn clh, yn h. ν. j=1. al,j kj. .  where. ν. j=1. al,j = cl, l = 1, 2,. ,

9 Mar 2023: Kernels. 24/34. ResDMD computeswith error control. 𝜃0. •. •𝑂(𝜀). 𝜀 = “smoothing parameter”. •••. •. ... Slide 23: Spectral decomposition of operators. Slide 24: Spectral decomposition of operators.

1 Dec 2023: D(φ) dζ = γ(φT φ0). φTD(φT)φT. t, (24). by using (21) and the time derivative of (22a). ... A brief description of each device is given here; more details can be found in the work ofPaterson.24.

12 Dec 2023: movement [24].

24 Jul 2023: 106, 27 (2016).[24] L. Schwarz, M. Medina-Sánchez, and O. G. Schmidt, Hybrid biomicromotors, Appl. ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[36] J. P. Binagia and E.

1 Dec 2023: 𝑤(𝜍,𝑌) = 𝑊 & 𝑤𝜂(𝜍,𝑌) = 0, (24). here 𝜂 = 𝑌 are the bordering yield surfaces where the plug havepeeds 𝑊. ... For a free shear layer with 𝛶𝑛1 = 𝜅 = 0, there is a self-similarolution to (23) and (24) of the form. =

15 Jul 2023: Matthew Colbrook. University of Cambridge. 24/05/2023www.damtp.cam.ac.uk/user/mjc249/home.html. Joint work with. Alex Townsend. ... Slide 23. Slide 24: Example 4: Planar waveguide. Slide 25: Example 4: Planar waveguide.

28 Jan 2016:

20 Sep 2023: Too little ortoo much arousal results inpoorer performance. 24. • Inf.-dim. ... Slide 23: Quadrature with trajectory data. Slide 24: Example: Verified modes.

1 Dec 2023: 1a), and a hose thermal conduct-ivity of 0.24 W m1 K1. ... The yellow shade marks the 24 h period selected to define h0 (36 60 h post-breakthrough).

4 Mar 2005: Implementation 5.24 It is quite usual to solvehyperbolic PDEs (advection equation, wave equation,Schr̈odinger equation, Euler equations of invicid compressibleflow. )

19 Oct 2013: 24. The oldest strain of such non-conformism is Calvinist, Puritan.

26 Jul 2013: Ishida et al.[21]. Tyrrell and Attard[22]. Tyrrell and Attard[23]. Steitz et al.[24]. ... These sizes are in agreement with the ex-perimental evidence of bubbles in Refs.[21–24], as summa-rized in Table I, although somewhat smaller.

8 Nov 2017: This technique allows theasymptotic exploration of a range of ribbon structures, such asartificial microswimmers comprising a magnetic head and aribbon tail.22–24. ... 24 L. Zhang, K. E. Peyer and B. J. Nelson, Lab Chip, 2010, 10,2203–2215.

13 Jan 2021: actin. Here, through a combination of direct computationson the coupled filament-flow problem [24] and studies of acontinuum theory for dense filament suspensions [28], weconfirm this hypothesis by showing the existence ... ffiffiffiffiffiffiffiffiffiffif

29 Oct 2020: 19 on the Example Sheets). Method 3.24 (The spectral method for evolutionary PDEs) We consider the problemu(x,t). ... û′n(t) = π2n2ûn(t). n ΓN (3.24). Its exact solution is ûn(t) = eπ2n2t ĝn for n 6= 0 and we set û0(t) = 0 due to

24 Aug 2023: a1.ak. 7! J[a1a2! a3.ak2] (1.1.24). and h : H! H is defined by.

24 Jul 2023: δjk 12. dR̂jdŝ. dR̂kdŝ. )(ũk (R̂) ũk (ŝ). )dŝ,. (2.24). where R̂i = R̃i(ŝ). ... 3.1.1. Computation of forces and torquesUnder this parametrisation, (2.24) becomes. Ji = η̃s2. [

2 May 2022: CF4@QSR9O4<.C2,-CC0,>2/.C24@01?4/=2A;C1=-022A-A-0/24@,.;-/=E010,01FC=CQTR9UA-10E54@/4<.C2,-CC0,>2/.C2=,VP=CA-,E-2A-VEA=11-CWA--14@ ... 4-CXY1-0>24.,C20<1-;-2A4>C0,>VP_?-,-/02->A011.E=,02=4,CH-B-,=,CE-,0/=4C3A-/-3-E0,D/4B-2A02C20<1-0,>0EE./02-77C-Z=C2IG./;

27 May 2019: electrohydrodynamics of a cylindrical and helical particle[24,25] (see the Supplemental Material [26] for details). ... Rev. Fluid Mech. 48, 105 (2016).[24] C. Pozrikidis, A Practical Guide to Boundary Element.

26 Jul 2013: 4 6 1 1 13 24 1 1 21 40 1 15 6 1 3 14 28 3 1 22 42 1 16 12 3 1 15a 30 3 1 23 ... 43 2 37 12 1 1 15b 30 3 1 24 60 15 18 16 3 1 16 32 3 1 25 48 1 19 18 3 1 17 34 3

3 Dec 2022: 162r2c3|m̈|2 sin2 ẑ (6.24). – 150 –. Integrating over all space gives us the power emitted,.

24 Aug 2009: http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. J. Fluid Mech. ... http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. 804 E. J.

23 May 2024: 24. Residual DMD (ResDMD).

7 Feb 2005: y0, n = 0, 1, 2,. 24. The following four-stage Runge–Kutta method has order four,.

9 Nov 2022: Newtonian fluids, includingboth short-range and long-range hydrodynamic interactions,direct collisions, and Brownian motion (24, 28, 29, 31, 32,43, 44). ... 24) forNewtonian fluids to predict the size of the radius of curvatureusing the distribution of

10 Mar 2018: A different approach was developed by Painlevé, Kowalevskaya, and Gambier who studied 2ndorder ODEs in the complex domain.16,24. ... Proc. Cambridge Philos. Soc. 156, 99–113. (2014).24 Painlevé, P., “Sur les équations différentielles du

2 Jun 2019: Rev.Fluid Mech., 43 (2011), pp. 1–24. [19] C. C. T. Pringle, Y. ... Rev. E, 78(2008), p. 037301. [24] T. M. Schneider, D. Marinc, and B.

20 Jan 2011: American University ofBeirut, Beirut, Lebanon5 The Mathematical Institute, Oxford University, 24–29 St Giles, Oxford OX1 3LB, UK. ... Substituting (2.24) into (2.23) gives the system (2.18) for the1-forms ei.

28 Jan 2016:

12 May 2020: Infections can thus be difficult to treateven in the absence of genetic antibiotic resistance; for thisreason, this phenotype has great biomedical relevance [24,27]. ... These might arise from antibi-otic treatments, which bacterial communities can

5 Feb 2020: 8 S. K. Sia and G. M. Whitesides, Electrophoresis, 2003, 24,3563–3576. ... 23 A. Cloot and G. Lebon, J. Fluid Mech., 1984, 145, 447–469.24 L.

19 Oct 2018: where. T 2X‘. A‘þ1;2ffiffiffiffiffiffiffiffiffiffiffiffiffi2‘þ3p. ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi‘2 þ2‘þ3. 2‘þ1. sM‘2. 24. ‘þ1‘þ2. ... Brown and W. Poon, Soft Matter, 2014, 10, 4016–4027.24

10 Apr 2011: 24). 232 A I Pesci et al. where we have used the notation i /xi. ... The equationof motion for u can be recast in the form (24) by taking its gradient and then replacing.

9 Jun 2021: activator” [24,25], the com-plicated instability conditions for N > 2 [26] do not lendthemselves to analytical progress.Here, we analyze the diffusive threshold for Turing. ... Natl. Acad. Sci. U.S.A.115, 6572 (2018). [24] A. J. Koch and H.

27 May 2019: pRR. pTR. 24. 35. lR þlTe lRþlTð ÞtlR þ lT. lT lTe lRþlTð ÞtlR þ lT. ... Tt. :. (24). The MSD follows from a double integration in time of eqn (24),leading to the result.

30 Nov 2018: 9. 5a2λ4′4. }. Eh3. 24(1 ν2 ){K 2s K 2φ 2νKs Kφ 3κ 0s. ... In fact, Ueki and Nishii [24] studied the InvB mutant ofVolvox carteri in which the embryonic vesicle fails to growproperly during development.

5 Feb 2020: motor surface.22 Active rotational motion hasalso been studied for Janus motors with a coupling of electro-chemical forces to fluid flow23 or under an external field such asgravity,24 nonspherical ... dy:. (24). The integral in eqn (24) may be evaluated

28 Jan 2016: