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Mathematical Tripos, Part IB : Electromagnetism, Dr Natalia Berloff…
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter1.pdf16 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:. -
Mathematical Tripos, Part IB : Electromagnetism Proof of the ...
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter5.pdf18 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. -
Effective dynamics for solitons in the nonlinear Klein Gordon ...
www.damtp.cam.ac.uk/user/dmas2/public_ps/dl_final.pdf15 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. -
MATHEMATICAL TRIPOS PART IB ELECTROMAGNETISM: Examples 3 1. It ...
www.damtp.cam.ac.uk/user/ngb23/EM/B10c.pdf20 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 -
Mathematical Tripos, Part IB : Electromagnetism 4 Electromagnetic…
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter4.pdf9 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. -
PII: 0377-0257(79)85027-2
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM5_411.pdf13 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. -
J. Chem. SOC., Faraday Trans. 2, 1984,80,535-551 Dielectric Response…
www.damtp.cam.ac.uk/user/hinch/publications/FT80_535.pdf13 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. -
Twistor Theory and Differential Equations Maciej Dunajski Department…
www.damtp.cam.ac.uk/user/md327/Twistor_ODE.pdf22 Jan 2009: eg = 2πN, N = 1, 2, 3,. Maxwell equations = U (1) gauge theory. -
Mathematical Tripos, Part IB : Electromagnetism, Dr Natalia Berloff…
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter2.pdf20 Jan 2009: Then Maxwell’s equations are. E = 0 (1). E =1. ǫ0ρ. -
PublicationsDavid M.A. Stuart September 2009 1. Sophia Demoulini and…
www.damtp.cam.ac.uk/user/dmas2/public_ps/publistcurrent.pdf28 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) -
doi:10.1016/j.jnnfm.2003.10.001
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM116_141.pdf10 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]). -
Mathematical Tripos, Part IB : Electromagnetism 3 Steady electric ...
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter3.pdf29 Jan 2009: This is governed by Maxwell’s. equations without. tterms, so that we have. -
Physics 2, 61 (2009) Viewpoint The turbulent matter field ...
www.damtp.cam.ac.uk/user/ngb23/publications/physics09.pdf3 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. -
PII: 0377-0257(93)80029-B
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM50_161.pdf13 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. -
http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM55_745.pdf24 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 -
http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM66_1.pdf31 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 -
Shear-induced lateral migration of Brownian rigid rods in parabolic …
www.damtp.cam.ac.uk/user/hinch/publications/JFM332_1.pdf14 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. -
PII: 0377-0257(91)87016-Q
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM40_323.pdf13 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. -
PII: 0377-0257(92)80030-2
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM43_311.pdf13 Jul 2009: 2.1.2 Generalisation Chen [2] considered two elastic Maxwell fluids. It should be noted,. -
Existence and Newtonian limit of nonlinear bound states in ...
www.damtp.cam.ac.uk/user/dmas2/public_ps/ed.pdf15 Oct 2009: 7] F. Finster, J. Smoller and S-T. Yau, Particle-like solutions of the Einstein-Dirac-Maxwell equations, Phys.
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