Quasilinear theory of the 2D euler equation

Wave Propagation Analysis of CNT Reinforced Composite Micro-Tube Conveying Viscose Fluid in Visco-Pasternak Foundation Under 2D Multi-Physical Fields

In this research, wave propagation analysis in polymeric smart nanocomposite micro-tubes reinforced by single-walled carbon nanotubes (SWCNT) conveying fluid is studied. The surrounded elastic medium is simulated by visco-Pasternak model while the composite micro-tube undergoes electro-magneto-mechanical fields. By means of micromechanics method, the constitutive structural coefficients of nano...

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

A Recurrence Theorem on the Solutions to the 2d Euler Equation

In finite dimensions, the Poincaré recurrence theorem can be proved from the basic properties of a finite measure. In infinite dimensions, it is difficult to establish a natural finite measure, especially by extending a finite dimensional finite measure. A natural alternative is the Banach norm which can be viewed as a counterpart of the probability density. An interesting problem is to study t...

A Size-dependent Bernoulli-Euler Beam Formulation based on a New Model of Couple Stress Theory

In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...

A two-dimensional vortex condensate at high Reynolds number

We investigate solutions of the two-dimensional Navier–Stokes equation in a π × π square box with stress-free boundary conditions. The flow is steadily forced by the addition of a source sin nx sin ny to the vorticity equation; attention is restricted to even n so that the forcing has zero integral. Numerical solutions with n = 2 and 6 show that at high Reynolds numbers the solution is a domain...