Given the very analogous situation with Navier-Stokes, where again one can create finite time blowup by “cheating” and modifying the equation, it does raise hope that finite time blowup for the incompressible Navier-Stokes and Euler equations can be established… In fact the connection may ...
In gauss's law to what does q_{encl} refer? What is Fermat's principle of least time? What is Huygens' principle? How should the integral in gauss's law be evaluated? What can you do with Clifford algebra in physics? What is Einstein's famous equation? State The Stokes Theorem. What...
Is the superposition theorem valid for power? State The Stokes Theorem. What is Heisenberg's uncertainity principle? What is String Theory? Is it correct? What is the relationship between the terms mole and Avogadro's number? What is Faraday's law?
I also find it instructive to actually see the journey from Newton’s law to the seemingly rather different-looking law for incompressible Navier-Stokes (or, if one drops the viscosity term , the Euler equations). Our discussion in this set of notes is physical rather than mathematical, and ...
Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of
We both find the whole brand of chaos confusing. The wikipedia page on fractals devotes many misleading paragraphs to applications that never made it into practice. But nowhere does it mention fractal antennas, which first created economic value 30 years ago and now power cell phones and wifi. ...
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We use here an analytic solution of the forces on a sphere undergoing arbitrary displacement in an arbitrary viscoelastic medium combined with the fluctuation-dissipation theorem to derive what is actually measured in the microbead rheology experiment. We find that a convolution of G^* is indeed ...
Find the phase difference from the below diagram when they emerge if (a) n1 = 1.38 and n2 = 1.48, and L = 8.06 ?m; (b) n1 = 1.50 and n2 = 1.60, and L = 8.06 ?m; and (c) n1 = 1.47 and n2 = 1.67, and L State The Stokes Theorem. If \vec F = ye^x...
UPDATE, Feb 2013: It has been pointed out to me by Pavel Zorin that this argument does not fully recover the theorem of Leon Green; to cover all cases, one needs the more complicated van der Corput argument in our paper. Read the rest of this entry » ...