Nonlinear terms in the equations of motion can induce secularly growing loop corrections to correlation functions. Recently such were shown affect particle production by a nonuniformly moving ideal mirror. We extend this conclusion cases vibrating cavity and single semitransparent These models provide natural IR UV scales allow more accurate study behavior. In both we confirm that two-loop corr...

We show that even small nonlinearities significantly affect particle production in the dynamical Casimir effect at large evolution times. To end, we derive effective Hamiltonian and resum leading loop corrections to flux a massless scalar field theory with time-dependent Dirichlet boundary conditions quartic self-interaction. perform resummation, assume deviations from equilibrium employ kind o...

in this paper, nonlinear vibration and instability response of an embedded pipe conveying viscose fluid is investigated. the pipe is considered as a timoshenko beam embedded on an elastic foundation which is simulated by spring constant of the winkler-model and the shear constant of the pasternak-model. the external flow force, acting on the beam in the direction of the flexural displacement is...

in this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (cnt) system have been investigated. the visco-pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. both of the cnts convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

in this paper, we explore a nonlinear mathematical model to study the spread of asthma due to inhaled pollutants from industry as well as tobacco smoke from smokers in a variable size population. the model is analyzed using stability theory of differential equations and computer simulation. it is shown that with an increase in the level of air pollutants concentration, the asthmatic (diseased) ...