The collapse voltage of micromachined capacitive ultrasonic transducers (CMUT) depends on the size, thickness, type, and position of the metal electrode within the membrane. This paper reports the result of a finite element study of this effect. The program (ANSYS 5.7) is used to model a circular membrane on top of a Si substrate covered by a Si3N4 insulation layer. We find that the collapse vo...

Schreiber and Yukich [Ann. Probab. 36 (2008) 363–396] establish an asymptotic representation for random convex polytope geometry in the unit ball Bd , d ≥ 2, in terms of the general theory of stabilizing functionals of Poisson point processes as well as in terms of generalized paraboloid growth processes. This paper further exploits this connection, introducing also a dual object termed the par...

We obtain an asymptotic rate of decay for the radius spatial analyticity solutions to nonlinear wave equation with initial data in analytic Gevrey spaces.

The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere Abstract We derive the differential equation governing the asymptotic quasi-stationary states of the two dimensional plasma immersed in a strong confining magnetic field and of the planetary atmosphere. These two systems are related by the property that there is an intrinsi...

We consider the perturbation of Schwarzschild solution by perimeter action. The asymptotic behaviour at infinity and horizon are calculated analysed in first approximation. is characterised ratio Plank length to radius. It demonstrated that modified theory appear space-time regions radius scale unreachable test particles. These located places where standard gravity has singularities.

This paper investigates the synchronization behavior of a class of flocks modeled by the nearest neighbor rules. While connectivity of the associated dynamical neighbor graphs is crucial for synchronization, it is well known that the verification of such dynamical connectivity is the core of theoretical analysis. Ideally, conditions used for synchronization should be imposed on the model parame...

High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal sums. Whereas analytically each radius r up to the radius of convergence is equal, numerical stability strongly depends on r . We give a comprehensive study of this effect; in particular, we show that there is a unique radius t...

The time and place that Brownian motion on a Riemannian manifold first exits a normal ball of radius e is considered and a general procedure is given for computing asymptotic expansions, as e decreases to zero, for joint moments of the first exit time and place random variables. It is proven that asymptotic versions of exit time and place distribution properties that hold on harmonic spaces are...

The results obtained in Paper I are used to study possible relationships between the truncation radius of stellar discs in the NIR and structural parameters of the galaxies. The NIR truncation radius is larger for brighter galaxies, being proportional to Vc m with c ≈ 3/2, and with Vm being the asymptotic rotation velocity at large radii (when the rotation curve becomes flat), and is lower for ...

We study global asymptotic behavior of Poisson-Nernst-Planck (PNP) systems for flow of two ion species through a narrow tubular-like membrane channel. As the radius of the cross-section of the three-dimensional tubular-like membrane channel approaches zero, a one-dimensional limiting PNP system is derived. This one-dimensional limiting system differs from previously studied one-dimensional PNP ...