Now showing items 1-10 of 14
On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data
We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved.
Magnetic Properties of Fe₁₋ₓCoₓSi Single Crystals at Low Co Impurity Concentrations
Magnetostatic properties of FeSi and Fe0;98Co0;02Si single crystals have been studied. It has been found that the temperature and field dependences of the magnetization of monocrystal FeSi are strongly affected by introduction ...
An Elementary Algorithm for Solving a Diophantine Equation of Degree Four with Runge's Condition
We propose an elementary algorithm for solving a diophantine equation (p(x, y) + a1x + b1y)(p(x, y) + a2x + b2y)-dp(x, y)-a3x-b3y-c = 0 (*) of degree four, where p(x, y) denotes an irreducible quadratic form of positive ...
Modelling of Electrochemically Switchable Ion Transport in Nanoporous Membranes with Conductive Surface
The impact of potential applied to the conductive surface of nanoporous membrane on the membrane potential at zero current is investigated theoretically on the basis of two–dimensional Space–charge model. The membrane ...
A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number
This paper is devoted to the study of equations solution describing the axisymmetric motion of a viscous heat-conducting liquid. The motion is interpreted as a two-layer flow of viscous heat-conducting liquids in a cylinder ...
The Influence of Changes in the Internal Energy of the Interface on a Two-Layer Flow in a Cylinder
The exact solution of the equations of the creeping flow model with the Himentsa type velocity field is considered in this paper. The solution describes thermocapillary convection in layers. It is interpreted as the motion ...
Symmetry Analysis of Ideal Fluid Equations in Terms of Trajectories and Weber’s Potential
The 2D perfect ﬂuid motions equations in Lagrangian coordinates are considered. If body forces are potential one, then there is the general integral called Weber’s integral and the resulting system includes initial data ...