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Now showing items 1-7 of 7

#### On the number of zeros of iterated operators on analytic Legendre expansions

(Hindawi, 2001-01-01)

Let L=(1−z2)D2−2zD, D=d/dz and f(z)=∑n=0∞cnpn(z), with Pn being the nth Legendre polynomialand f analytic in an ellipse with foci ±1. Set Lk=L(Lk−1), k≥2. Then the number of zeros of Lkf(z) in this ellipse is O(klnk).

#### Sound-ultrasound interaction in bubbly fluids: Theory and possible applications

(American Institute of Physics, 2001-12)

The interaction between sound and ultrasound waves in a weakly compressible viscous liquid with gas bubbles is considered. Using the method of multiple scales one- and two-dimensional nonlinear interaction equations are ...

#### Scalings for fragments produced from drop breakup in shear flow with inertia

(American Institute of Physics, 2001-08)

When a drop is sheared in a matrix liquid, the largest daughter drops are produced by elongative end pinching. The daughter drop size is found to scale with the critical drop size that would occur under the same flow ...

#### Effect of inertia on drop breakup under shear

(American Institute of Physics, 2001-01)

A spherical drop, placed in a second liquid of the same density and viscosity, is subjected to shear between parallel walls. The subsequent flow is investigated numerically with a volume-of-fluid continuous-surface-force ...

#### Stochastic dynamics of Ginzburg-Landau vortices in superconductors

(American Physical Society, 2001-08-01)

Thermal fluctuations and randomly distributed defects in superconductors are modeled by stochastic variants of the time-dependent Ginzburg-Landau equations. Numerical simulations are used to compare the effects of additive ...

#### capillary-gravity wave drag

(AIP Publishing, 2001-08)

Drag due to the production of capillary-gravity waves is calculated for an object moving along the surface of a liquid. Both two and three dimensional objects, moving at large Froude and Weber numbers, are treated. (C) ...

#### Small-energy asymptotics of the scattering matrix for the matrix Schrodinger equation on the line

(AIP Publishing, 2001-10)

The one-dimensional matrix Schrodinger equation is considered when the matrix potential is self-adjoint with entries that are integrable and have finite first moments. The small-energy asymptotics of the scattering ...