The solution of a multiobjective multidisciplinary design optimization (MDO) using a genetic algorithm (GA) is considered. The objective functions in the optimization problem measure the aerodynamic feasibility based on the drag and lift coefficients and the electromagnetic feasibility based on the backscatter of the two-dimensional airfoil designs. The flow and backscatter are modeled by the t...

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Millsdilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the winding number n and the node number k of the gauge field functions. For fixed n with increasing k the solutions tend to “extremal” Einstein-Maxwell-dilaton black...

Calculations of resultant electrostatic force on a charged spherical or cylindrical capacitor with two sectors different dielectrics, based the classical formulas pressure, Kelvin polarization density, and Maxwell stress tensor predict reactionless that violates Newton’s 3rd law. Measurements didn’t confirm existence such thrust, thus there is an apparent inconsistency in EM theory leads to wro...

t Thee aim of this study is to investigate three mechanical models to describe thee viscoelastic behavior of a commercially available light-activated restorative compositee during setting. Stress-strain data on Z100 were recorded by a dynamicc test method performed on a universal testing machine. The models weree tested by matching the model response to experimental data and the materiall param...

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with variable, rational coefficients. In an earlier treatment this condition was integrated by first transforming it to a hypergeometric equation. We demonstrate...

Abstract It is well known that a mixture of two chemical components undergoing one reaction bulk viscous fluid, where the stress evolves according to Israel-Stewart theory. Here, we show three independent distinct reactions can also be viewed as whose now governed by second-order differential equation which reproduces Burgers model for viscoelasticity. This rigorous and physically motivated examp...

We study the eigenvalues of time-harmonic Maxwell's equations in a cavity upon changes electric permittivity $\varepsilon$ medium. prove that all eigenvalues, both simple and multiple, are locally Lipschitz continuous with respect to $\varepsilon$. Next, we show symmetric functions multiple depend real analytically provide an explicit formula for their derivative As application these results, g...

This paper is mainly concerned with the structure of the singular and regular parts of the solution of time-harmonic Maxwell's equations in polygonal plane domains. The asymptotic behaviour of the solution near corner points of the domain is studied by means of discrete Fourier transformation. A detailed functional analysis of the solution shows that the boundary value problem does not belong l...

In recent years, dielectrophoresis based microfluidics systems have been used to manipulate colloids, inert particles, and biological microparticles, such as red blood cells, white blood cells, platelets, cancer cells, bacteria, yeast, micro‌organisms, proteins, DNA, etc. In the current study the governing electric potential equations have been solved in the presence of cell for the purpose of ...