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J. Fluid Mech. (2023), vol. 963, A24, doi:10.1017/jfm.2023.336…
www.damtp.cam.ac.uk/user/lauga/papers/216.pdf24 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. [ -
kintheory
www.damtp.cam.ac.uk/user/tong/kintheory/two.pdf16 Sep 2023: i(2.24). This is the Boltzmann equation. It’s not an easy equation to solve! ... 24 –. things change for quantum particles. We’ll keep the assumption of molecular chaos,. -
PDEs_meets_DATA_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/PDE_meets_data_mjc.pdf19 Sep 2023: Too little ortoo much arousal results inpoorer performance. 24. • Inf.-dim. ... Slide 24: Example: Verified modes. Slide 25: Example: Verified modes. Slide 26: Example: Verified dictionary. -
J. Fluid Mech. (2023), vol. 955, A21, doi:10.1017/jfm.2022.1052…
www.damtp.cam.ac.uk/user/mjc249/pdfs/residual-dynamic-mode-decomposition-robust-and-verified-koopmanism.pdf7 Mar 2023: J. Fluid Mech. (2023), vol. 955, A21, doi:10.1017/jfm.2022.1052. Residual dynamic mode decomposition: robustand verified Koopmanism. Matthew J. Colbrook1,†, Lorna J. Ayton1 and Máté Szőke2. 1Department of Applied Mathematics and Theoretical -
clas
www.damtp.cam.ac.uk/user/tong/dynamics/four.pdf13 Sep 2023: 2m(p eA)2 e. e. m(p eA) A. =1. 2m(p eA)2 e (4.24). ... Expand out all 24 terms and. watch them cancel one by one. -
string
www.damtp.cam.ac.uk/user/tong/string/string5.pdf29 Jan 2023: Z. ZDX eS. 12. pĝ T. =c. 24. pĝ R̂ 1. ... 20µe2! =c. 24. pg(R 2r2!) 1. 20µe2! where, in the last two lines, we used the Weyl anomaly (4.35) and the relationship be-. -
Building on Oldroyd’s viscoplastic legacy:…
www.damtp.cam.ac.uk/user/drh39/2021_oldroyd.pdf1 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. = -
string
www.damtp.cam.ac.uk/user/tong/string/string4.pdf29 Jan 2023: It is,. T = 10@X@X (4.24). But we need to be careful about what this means in the quantum theory. ... is. E = 2(c c̃)24. (4.34). This is indeed the (negative) Casimir energy on a cylinder. -
string
www.damtp.cam.ac.uk/user/tong/string/string1.pdf29 Jan 2023: pg gg@Xµ@X. µ = 0. (1.24). The worldsheet metric is therefore given by,. -
One-dimensional compression of a saturated elastoviscoplastic medium
www.damtp.cam.ac.uk/user/drh39/2022_elastoviscoplastic_compression.pdf1 Dec 2023: Nevertheless, in the dewatering of suspensions. 2469-990X/2022/7(5)/054303(24) 054303-1 2022 American Physical Society. ... More specifically, as a prescription for the stress in the solid phase,we employ a particular model formulated by Saramito [24]
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