Fréchet differentiability and a formula for the derivative with respect to domain variation of a general class of cost functionals under the constraint of the two-dimensional stationary incompressible Navier-Stokes equations are shown. An embedding domain technique provides an equivalent formulation of the problem on a fixed domain and leads to a simple and computationally cheap line integral f...

We analyze an infinite dimensional, geometrically constrained shape optimization problem for magnetically driven microswimmers (locomotors) in three-dimensional (3-D) Stokes flow and give a well-posed descent scheme for computing optimal shapes. The problem is inspired by recent experimental work in this area. We show the existence of a minimizer of the optimization problem using analytical too...

We study the asymptotic behavior of axisymmetric solutions with no swirl to steady Navier-Stokes equations in outside cylinder. prove an a priori decay estimate vorticity under assumption that velocity has generalized finite Dirichlet integral. As application, we obtain Liouville-type theorem.

We report the synthesis of colloidal CdSe quantum dots doped with a novel Ag precursor: AgCl. The addition of AgCl causes dramatic changes in the morphology of synthesized nanocrystals from spherical nanoparticles to tetrapods and finally to large ellipsoidal nanoparticles. Ellipsoidal nanoparticles possess an intensive near-IR photoluminescence ranging up to 0.9 eV (ca. 1400 nm). In this artic...

Analytic models based on spherical and ellipsoidal gravitational collapse have been used to derive the mass functions of dark matter halos and their progenitors (the conditional mass function). The ellipsoidal model generally provides a better match to simulation results, but there has been no simple analytic expression in this model for the conditional mass function that is accurate for small ...

Diffraction lines are broadened for two reasons: instrumental eonfigura tion and physical origins. The latter yields information on materials microstructure. The complete process of line-broadening analysis is discussed, beginning with experimental procedure s and a correction for instrumental broadening. In the analysis of the physically broadened line profile, the main emphasis is given to th...

This paper discusses the problem of approximating data points in -dimensional Euclidean space using spherical and ellipsoidal surfaces. A closed form solution is provided for spherical approximation, while an efficient, globally optimal solution for the ellipsoidal problem is proposed in terms of semidefinite programming (SDP). In addition, the paper presents a result for robust fitting in pres...

We analyze the photometry of 121 OGLE stars with periodic transit events for the presence of ellipsoidal light variations, which indicate the presence of massive companions. We find that over 50% of objects may have stellar companions , mostly among the short period systems. In our Table 1 stars with no measurable ellipsoidal variability are marked as the prime candidates for planetary searches...

In recent years, more attention has been paid to vehicles that can travel between air and water, known as trans-media vehicles. They are often designed cylindrical bodies in order reduce the impact load during water entry. this paper, water-entry processes of small-sized vehicles, with a characteristic length 1 m, were investigated numerically by solving unsteady Reynolds-averaged Navier–Stokes...

A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method based on Dirichlet-Neumann type splitting interface conditions solving separate Stokes Darcy problems iteratively. Second kind boundary integral equations are formulated each problem. use smoothing kernels that achieves high accurac...