Stokes Paradox, Fluid dynamics, Stokes flow, Stream function, Biharmonic equation, Helmholtz equation, Low Reynolds number This paper proposes a solution to Stokes’ paradox for asymptotically uniform viscous flow around a cylinder. The existence of a global stream function satisfying a perturbative form of the two-dimensional Navier–Stokes equations for low Reynolds number is established. This ...

The purpose of this paper is to present an indirect boundary integral method for the oscillatory Stokes flow provided by the translational oscillations of two rigid spheres in an incompressible Newtonian fluid of infinite expanse. 1. Introduction. The study of oscillatory Stokes flows has a key role in the understanding of the biomechanics of blood flow, the Brownian motion, the motion of swimm...

Intrinsic coherent anti-Stokes emission is observed in lithographically patterned gold nanowires. Polarization dependent measurements reveal that the nanostructure's anti-Stokes response is polarized in the direction of the transverse surface plasmon resonance of the wire. We have used specially fabricated gold nanozigzag wires that are modulated in height between 20 and 80 nm to demonstrate tu...

[Abstract] A theoretical analysis of electronic-resonance-enhanced (ERE) coherent anti-Stokes Raman scattering (CARS) of NO is discussed. The time-dependent density matrix equations for the nonlinear ERE-CARS process are derived and manipulated into a form suitable for direct numerical integration (DNI). In the ERE-CARS configuration considered in this paper, the pump and Stokes beams are far f...

In recent years, the manipulation of Fano resonances in time domain has unlocked deep insights into a broad spectrum systems' coherent dynamics. Here, inelastic scattering light with acoustic phonons is harnessed to achieve complex resonances. The sudden change phonon momentum during reflection leads transition from anti-Stokes Stokes scattering, producing two different that interfere measureme...

Respiratory Pattern Disturbances in Ischemic Cerebral Vascular Disease • Impedance pneumography was used to monitor respiratory rates and patterns in 49 patients with acute ischemic cerebral vascular disease. Nine patients had clinical evidence of bilateral ischemic cerebral disease. In one of these, normal respiratory pattern was present at all times; in five, there was intermittent Cheyne-Sto...

Respiratory rates and patterns were studied in 23 patients with acute brain stem infarction using impedance pneumography. Autopsy was obtained in six of eight fatal cases. Pontine lesions were present in all patients, with coexistent infarction of midbrain in four and of medulla in nine. Respiratory rate and pattern abnormalities observed included Cheyne-Stokes respiration, Cheynb-Stokes varian...