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We show that, in general, wavefronts are more symmetric than the medium in which they propagate. This means that we cannot determine the symmetries of the medium based solely on the symmetries of the wavefronts. However, we show that we can determine the symmetries of the medium from the...
There is considerable interest in the mechanics of carbon nanostructures, such as carbon nanotubes and fullerenes, and the manner of their interactions at the intermolecular level. Medical applications include the use of carbon nanotubes for targeted drug and gene delivery, for which issues...
In quasi-steady operation, convection currents in a Bridgman device, used for producing a semi-conductor crystal, create inhomogeneities that may make the crystal unusable. It has often been suggested that additional forces due to rotation or magnetism might be efficacious in reducing the...
A class of generalized analytic functions, defined by a special case of the Carleman system that arises in three-dimensional asymmetric problems of hydrodynamics of Stokes flows, stationary electromagnetic fields in conductive materials, etc., has been considered. Hilbert formulae, establishing...
We develop a general procedure for solving the first and second fundamental problems of the theory of elasticity for cases where boundary conditions are prescribed on a spherical surface, using Love's general solution of the elastostatic equilibrium equations in terms of three scalar harmonic...
Unsteady, axisymmetric stagnation flow about a circular cylinder is examined when the far-field flow is a periodic function of time with a fixed time average and an oscillatory part of prescribed amplitude and frequency. Solutions are computed for arbitrary values of the Reynolds number,...
We consider a steady flow driven by pushing a finger of gas into a highly shear-thinning power-law fluid, with exponent n , in a Hele-Shaw channel. We formulate the problem in terms of the streamfunction ψ , which satisfies the p -Laplacian equation ∇ · ( | ∇ ψ | p − 2 ∇ ψ ) = 0 (with...
The shape of the asymptotic long-range solution of the scalar linear viscoelastic signaling problem is found for a large class of creep compliances. If the asymptotic growth of the creep compliance at large times is given by a power law then the long-range asymptotic shape of an initial step...
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