We investigate C0-semigroup generation properties of the Vlasov equation with general boundary conditions modeled by an abstract boundary operator H . For multiplicative boundary conditions we adapt techniques from [17] and in the case of conservative boundary conditions we show that there is an extension A of the free streaming operator TH which generates a C0semigroup (VH(t))t>0 in L. Further...

We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in Rd, d ≥ 4, and the initial velocity of the particle is sufficiently large, we describe the asymptotic behavior of the particle. Mathematical Subject Classification: 60K37

Most common requirements for micromanipulation are high precision, parallel manipulation, cost, etc. In this paper, we examine a manipulation method that may be useful for these requirements. The presented method uses an actively generated friction force field as a driving force of manipulation, and the method can have several actuation modes depending on the sliding condition of the friction f...

The theory of complex variables is used to solve analytically the transcendental equation which defines the position, as a function of time, in an inverse-distance-squared force field, and thereby the desired solution is reduced to elementary quadrature.

This paper reports on a novel method for on-chip continuous separation of dividing and non-dividing cells based on differences in their dielectric properties. By means of two opposite dielectrophoretic force fields at multiple frequencies, the two populations of cells flowing through the microfluidic device are focused towards distinct equilibrium positions, which can be correlated to their cel...

In this work, we are interested in the controllability of Vlasov-Poisson systems in the presence of an external force field (namely a bounded force field or a magnetic field), by means of a local interior control. We are able to extend the results of [7], where the only present force was the self-consistent electric field.

The use of trinitrotoluene (TNT) in industrial processes or military operations presents a significant threat to both the environment and human health due its toxicity. Recently, it has been discovered that bis(1,2,4-oxadiazole)bis(methylene) dinitrate (BOM) can be an appropriate substitute TNT low sensitivity, high detonation velocity, nearly insignificant impact on surrounding environment. In...