Now showing items 1-4 of 4
On the number of zeros of iterated operators on analytic Legendre expansions
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 ...