Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into account. The model describes the evolution of the deflection of an electrically conductive elastic membrane suspended above a fixed ground plate together with the electrostatic potential in the free domain between the membrane and the fi...

We study the effect of negatively charged dust on magnetic-field-aligned polarisation electrostatic field ( $\boldsymbol {E}_{\parallel }$ ) using Cassini's RPWS/LP in situ measurements during ‘ring-grazing’ orbits. derive a general expression for and estimate first time $\lVert \boldsymbol } \rVert$ (approximately $10^{-5} \, \text {V}\, {m}^{-1}$ near Janus Epimetheus rings. further demonstra...

A parallel electrostatic Poisson’s equation solver coupled with parallel adaptive mesh refinement (PAMR) is developed in this paper. The three-dimensional Poisson’s equation is discretized using the Galerkin finite element method using a tetrahedral mesh. The resulting matrix equation is then solved through the parallel conjugate gradient method using the non-overlapping subdomain-by-subdomain ...

Nuclear quadrupole resonance (NQR) is the study of the energy splittings due to interaction of the electric quadrupole moment of the nucleus with the electric field gradient that exists at the nuclear site. Many nuclei with spins greater than Vz have a quadrupole moment and most of these quadrupole moments have been measured and tabulated. Thus, the information gained by studying NQR is the mag...

introduction wedge modifiers are commonly applied in external beam radiotherapy to change the dose distribution corresponding to the body contour and to obtain a uniform dose distribution within the target volume. since the radiation dose delivered to the target must be within ±5% of the prescribed dose, accurate dose calculation by a treatment planning system (tps) is important. the objective ...

Theoretical studies of dusty plasmas have been performed by focusing attention principally on collective phenomena and on grain motion. This thesis consists of a collection of seven published papers that explore both the collective behavior of a complex plasma system as well as the dynamics of grains in plasmas. In paper 1, a mechanism that explains the energy gain which leads to the self excit...