There is a theorem known as a Virial theorem that restricts the possible existence of non-trivial static solitary waves with scalar fields in a flat space-time with 3 or more spatial dimensions. This raises the following question: Does the analogous curved space-time version hold?. We investigate the possibility of solitons in a 4-D curved space-time with a simple model using numerical analysis...

We provide some new necessary and suucient conditions which guarantee arbitrary pole placement of a particular linear system over the complex numbers. We exhibit a non-trivial real linear system which is not controllable by real static output feedback and discuss a conjecture from algebraic geometry concerning the existence of real linear systems for which all static feedback laws are real.

In the current study, the effects of Casimir force and squeeze film damping on pull-in instability and dynamic behavior of electrostatically actuated nano and micro electromechanical systems are investigated separately. Linear elastic membrane theory is used to model the static and dynamic behavior of the system for strip, annular and disk geometries. Squeeze film damping is modeled using nonli...

the purpose of this study is to determine the effect of vierendeel panel width and vertical truss spacing ratio in an inelastic behavior of the stf system due to earthquake loads. the stf system is applied to a six-storey building that serves as apartments [2]. the stf system is used in the building in the transverse direction (n-s direction), while in the longitudinal direction (w-e direction)...

Gas condensate reservoirs are characterized by a distinctive retrograde behavior and potential for condensate drop out during production and sampling. Efficient modeling of gas condensate reservoir requires careful phase behavior studies of samples collected prior to and during the production life of reservoir. In this work, an integrated characterization and tuning algorithm is proposed to ana...

We revisit relational static analysis of numeric variables. Such analyses face two difficulties. First, even inexpensive relational domains scale too poorly to be practical for large code-bases. Second, to remain tractable they have extremely coarse handling of non-linear relations. In this paper, we introduce the subterm domain, a weakly relational abstract domain for inferring equivalences am...

in this article, we tried to emphasis in how the range of torsionally stiff and flexible single story buildings works. the designed base was according to provisions of the canadian standard, 2005 nbcc. the behavior of nonlinear dynamic time history of eight building models subjected to seven horizontal bi-directional ground motions compatible with design spectra are investigated. these models c...