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  2. 16 Jan 2009: 5. Consistency of Maxwell’s Equations. 1.5 Integral forms of Maxwell’s equations. ... n B|. = 0 (25). nB|. = µ0s. (26). The correspondence between Maxwell’s equations and the discontinuity formulas is clear:.
  3. Mathematical Tripos, Part IB : Electromagnetism Proof of the ...

    www.damtp.cam.ac.uk/user/ngb23/EM/Chapter5.pdf
    18 Feb 2009: The ‘capacitor’ paradox. Maxwell proposed that (2) be changed by addition to a term that made it compatible with. ... What about the magnetic fields? So our wave solution of Maxwell’s equations is.
  4. 20 Jan 2009: MATHEMATICAL TRIPOS PART IB. ELECTROMAGNETISM: Examples 3. 1. It is given, as a consequence of the Maxwell equation E = B/t, that. ... then the total fields, Einc Eref and Binc Bref , satisfy Maxwell’s equations and allthe relevant boundary conditions
  5. Effective dynamics for solitons in the nonlinear Klein Gordon ...

    www.damtp.cam.ac.uk/user/dmas2/public_ps/dl_final.pdf
    15 Oct 2009: Effective dynamics for solitons in the nonlinear Klein Gordon. Maxwell system and the Lorentz force law. ... dmas2@cam.ac.uk. Abstract. We consider the nonlinear Klein Gordon Maxwell system derived from the LagrangianR 1.
  6. Mathematical Tripos, Part IB : Electromagnetism 4 Electromagnetic…

    www.damtp.cam.ac.uk/user/ngb23/EM/Chapter4.pdf
    9 Apr 2009: 1.5, repeated here: The Maxwell equation. E B. t= 0 (1). ... We first make this study in the (pre-Maxwellian) approximation to the full Maxwell theory,in which.
  7. PII: 0377-0257(79)85027-2

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM5_411.pdf
    13 Jul 2009: Let us first assume it can be described by the simple Maxwell equation. ... The 4/3 power-law increase in the stress for the Maxwell equation corresponds to the stress tensor being deformation with the fluid 67/6t = 0.
  8. J. Chem. SOC., Faraday Trans. 2, 1984,80,535-551 Dielectric Response…

    www.damtp.cam.ac.uk/user/hinch/publications/FT80_535.pdf
    13 Jul 2009: e k = 2. Note that the above solution for ni merely represents a Maxwell-Boltzmann distribution for the combined densities. ... there is a Maxwell-Boltzmann distribution around the particle for n : , as well as across the double layer.
  9. http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM66_1.pdf
    31 Jul 2009: Some constitutive equations, such as the Maxwell equation, propagate damped elastic waves which would lead to shock waves in the flow around fast-moving bodies. ... There was the usual downstream disturbance, instead of the upstream shock waves which had
  10. 20 Jan 2009: Then Maxwell’s equations are. E = 0 (1). E =1. ǫ0ρ.
  11. 29 Jan 2009: This is governed by Maxwell’s. equations without. tterms, so that we have.
  12. Physics 2, 61 (2009) Viewpoint The turbulent matter field ...

    www.damtp.cam.ac.uk/user/ngb23/publications/physics09.pdf
    3 Sep 2009: Correspondingly, the Gross-Pitaevskii equation isequivalent to the Maxwell equations for a classical elec-tromagnetic field, known to be accurate as long as theoccupation numbers of photons are much larger thanunity.
  13. PII: 0377-0257(93)80029-B

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM50_161.pdf
    13 Jul 2009: Non-linear elastic liquids with a memory are more difficult. Evidence for the existence of a similarity solution for an Upper-Convected Maxwell fluid was found by Libscomb et al. [ ... sense the analysis is for a Maxwell fluid.
  14. http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address:…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM55_745.pdf
    24 Aug 2009: 6. Maxwell orthogonal rheometer A non-viscometric flow which has been used in experimental rheology is. ... An experimental study of a polymer melt by Maxwell & Chartoff (1965) in such arheometer did reveal a number of the qualitative features contained
  15. 22 Jan 2009: eg = 2πN, N = 1, 2, 3,. Maxwell equations = U (1) gauge theory.
  16. Shear-induced lateral migration of Brownian rigid rods in parabolic …

    www.damtp.cam.ac.uk/user/hinch/publications/JFM332_1.pdf
    14 Jul 2009: Thus inthermodynamic equilibrium one has the Maxwell–Boltzmann distribution. P eV/kT. (8.6). ... 0. c(y) dy = 1. (8.14). Thus one obtains the pseudo-Maxwell–Boltzmann distribution.
  17. PII: 0377-0257(91)87016-Q

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM40_323.pdf
    13 Jul 2009: Davies [6] has examined the local behaviour of the corotational Maxwell model, which does incorporate elastic effects, near r = 0 in terms of a bi-orthogonal series expansion.
  18. PII: 0377-0257(92)80030-2

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM43_311.pdf
    13 Jul 2009: 2.1.2 Generalisation Chen [2] considered two elastic Maxwell fluids. It should be noted,.
  19. doi:10.1016/j.jnnfm.2003.10.001

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM116_141.pdf
    10 Jul 2009: We note too that the Maxwell limit µs = 0 is singular for this problem. ... no acceptable steady flow of a Maxwell/Oldroyd fluid exists in these geometries (see [5]).
  20. http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM76_187.pdf
    31 Jul 2009: p = -V$, $ = -&Gp.E.p. The diffusion equation has a steady-state solution corresponding to a Maxwell- Boltzmann distribution, Ncc exp ( - $/I)). ... As for the axi- symmetric straining motion, the exact results were obtained by numerically evaluating the
  21. Existence and Newtonian limit of nonlinear bound states in ...

    www.damtp.cam.ac.uk/user/dmas2/public_ps/ed.pdf
    15 Oct 2009: 7] F. Finster, J. Smoller and S-T. Yau, Particle-like solutions of the Einstein-Dirac-Maxwell equations, Phys.
  22. Brownian motion with stiff bonds and rigid constraints

    www.damtp.cam.ac.uk/user/hinch/publications/JFM271_219.pdf
    21 Jul 2009: The idea of a corrective pseudo-potential force was suggested independently by Rallison (1979), who used a much simpler approach based on Maxwell-Boltzmann thermodynamic equilibrium distributions in the full phase
  23. http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM72_499.pdf
    31 Jul 2009: Hinch. Maxwell-Boltzmann distribution c cc exp ( - V / k T ). Using this distribution and equating the net flux to zero produces the result (1.1).
  24. Linear stability of free shear flow of viscoelastic liquids

    www.damtp.cam.ac.uk/user/hinch/publications/JFM268_64.pdf
    21 Jul 2009: 1987). The tensor a satisfies the upper convected Maxwell equation. v haa = y ,. is the upper-convected derivative of a, and h is the polymer relaxation time. ... The Oldroyd-B model contains both the upper-convected Maxwell fluid (ys = 0-.
  25. PublicationsDavid M.A. Stuart September 2009 1. Sophia Demoulini and…

    www.damtp.cam.ac.uk/user/dmas2/public_ps/publistcurrent.pdf
    28 Sep 2009: 36 pages. 2. Eamonn Long and David M.A. Stuart, “Effective dynamics for solitons in thenonlinear Klein-Gordon-Maxwell system and the Lorentz force law”, Reviews inMathematical Physics, 21 (4), (2009)
  26. The elastohydrodynamic collision of two spheres

    www.damtp.cam.ac.uk/user/hinch/publications/JFM163_479.pdf
    23 Jul 2009: As shown by Hocking (1973), who used a simple Maxwell-slip model to study the relative motion of rigid spheres in aerosols, actual physical contact between the solid surfaces can occur
  27. doi:10.1016/S0377-0257(97)00022-0

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM72_31.pdf
    10 Jul 2009: They then tested these fluids in a LFR. Now, for a Maxwell fluid with a single relaxation time, Bazilievsky, Entov and Rozhkow [1]have shown that in a LFR the radius
  28. doi:10.1016/j.jnnfm.2006.04.003

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM136_157.pdf
    8 Jul 2009: This was demon-strated for instance by Rasmussen and Hassager [30], who carryout three-dimensional simulations of the creeping flow of anupper-convected Maxwell fluid described by an integral modelin a
  29. The effect of particle interactions on dynamic light scattering from…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM167_131.pdf
    23 Jul 2009: Then a t time t = 0 the probability distribution for the particle positions is Maxwell-Boltzmann with.
  30. Computer simulations of Brownian motion of complex systems

    www.damtp.cam.ac.uk/user/hinch/publications/JFM282_373.pdf
    14 Jul 2009: In the case of inertia, unlike the variable diffusivity, the phenomenon is correct: when a Maxwell-Boltzmann distribution in phase-space is.
  31. Computer simulations of polymer chain relaxation via Brownian motion

    www.damtp.cam.ac.uk/user/hinch/publications/JFM308_255.pdf
    14 Jul 2009: http://journals.cambridge.org Downloaded: 14 Jul 2009 IP address: 131.111.16.227. J. Fluid Mech. (1996), t d 308, p p. 255-288 Copyright @ 1996 Cambridge University Press. 255. Computer simulations of polymer chain relaxation via Brownian motion. By

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