The rheology simulation for a inhomogeneous structure of the shear fluid flow into slender clearances
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 1
Abstract
The theory of shear flow structure into slender clearances on the basis of variable viscosity was constructed. The power dependence on local velocity deformation and on distance bounding hard surfaces into priwall layers was used. These basic layered flow parameters by means of the successive approximation method was determined.
Authors and Affiliations
S. K. Aslanov
Approximation of periodical function in the weighted Orlicz spaces
We obtain some direct and inverse theorems of theory of approximation for 𝜓-differentiable functions in the metrics of weighted Orlicz spaces with weight functions, which belongs to the Muckenhoupt class.
ON A STRESS–STATE OF AN ELASTIC SEMI–STRIP UNDER MECHANICAL AND THERMAL STRESSES
The new methodic of plane elasticity problems’ solving for the semi-infinite strip under the mechanical and thermal pressures is considered in the article. The sense of it is the applying of the integral Fourier transfor...
Average number of squares dividing mn
We study the asymptotic behaviour of the two-dimensional summatory function _ m,n_x τ1,2(mn), where τ1,2(n) = _ ab2=n 1, using recent result of Balazard, Naimi, P´etermann and the complex integration method. An asymptoti...
About embedding anisotropic classes in metric spaces with integral metric
Let L0 (Tm) be a set of periodic measurable real-valued functions of m variables, ψ : R1+ → R1+ be the continuity modulus and Lψ(Tm) = {f ∈ L0(Tm) : _f_ψ := _ Tm ψ (|f(x)|) dx < ∞}. The sufficient conditions for embeddin...
About solvability of initial problem for differential equation with maximum
Initial value problem for differential equation with maximum is considered. Sufficient conditions of existence and uniqueness solution for this problem are presented.