It has also been shown that, the unstable second order strain gradient model can be replaced by considering the inertia gradient terms in the formulations.
The buckling and postbuckling responses of pavements with different characteristics are analysed by considering the temperature gradient; the parameters being the pavement thickness, pavement base and effective weight.
This was be generalized by Beir tilde{mathrm {a}})o da Veiga [1] by considering the velocity gradient or vorticity, begin{aligned} nabla varvec{u}in L^p 0,T L^q(mathbb {R}^3)),quad frac{2}{p}+frac{3}{q}=2,quad frac{3}{2}le qle infty.
We address this issue by considering the pressure gradients governing the inter-compartmental fluid exchanges, the physical features of the corresponding flows and the particular motion pattern of anisodiametric particles dragged by such flows in the tissues and across membranes delimiting the compartments.
Recently estimated van Genuchten parameters considering the gradient of moorsh-forming process were tested by hydrological modelling using HYDRUS-1D.
In this paper, energy harvesting from a Timoshenko beam is studied by considering the flexoelectric and strain gradient effects.
By considering the steepness of the density gradient, the simulation results show the efficient mode conversion could be expected even in the case that the mismatch of the refractive indexes prevents the close coupling of plasma waves.
The origin of the gradient is easily seen by considering the balance between the actin flux due to retrograde flow towards the cell center with the diffusion of actin monomers in the opposite direction.
The phase transformation and microstructural evolution along the compositional gradient were analysed by considering the thermodynamic conditions as well as using microstructure selection models based on the maximum interface temperature criterion.
Technically, this can be achieved by considering the Young measure generated by the sequence of gradients of approximating solutions which is inspired by [21].
