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Information × Registration Number 0202U006419, 0100U004897 , R & D reports Title Mathematical modeling of non-linear disturbances in ecological power systems popup.stage_title Head Syasky Andry Oleksiyovich, Registration Date 31-07-2002 Organization Rivne State Univercity of Humanies popup.description2 Object of investigation - nonlinear singular perturbed mathematical models of convective diffusion processes under filtration in porous mediums predisposed to deformations and perturbance of solids' deflected modes. Purpose of investigation - elaborate of new approaches to modeling of locally nonlinear eco-power systems in mediums predisposed to deformations and solution methods of corresponding perturbed problems of mathematical physics. Problem of nonlinear inversion of boundary value problems on conformal and quasiconformal mappings in areas limited by flow and eqiupotential lines is solved. A corresponding methods were extended on problems with free parts of area boundary; problems in multiply-connected areas with singular points and problems in stratified mediums (problems with piecewise constant coefficients); three-dimensional cases; problems with manager potentials (on basis of which the idea of process control is realized). A new type of approach to modeling of filtration processes with the allowance for interference between pressure gradients bigger than there critical values and filtration coefficient with the solution of corresponding nonlinear boundary value problems with aftereffect is developed. An equations (within the limits of models), which allow to find the optimal values of constructive drainage parameters in dependence on soil's characteristics and hydrodynamic action of filtration flow are derived. The criteria of forming deformated in different ways zones are specified on the basis of which theoretical and practical computations of flow rates, pressures and there gradients was realized. A dependence of flow rate of moistening absorbing well from characteristic parameters in case of nonuniform pore space filling of zone of sedimentation by suffosion particles is investigated. A new type of approach to modeling separate parts of area boundaries "destruction" (bottom deformation, washing out of particles, destruction of drillholes and absorbing wells, oth.) and also a methods of approximate solution of mixed singular perturbed nonlinear problems for equations of convective diffusion in areas with free parts of area boundaries, for which a diffusion coefficient is time-depended are developed. Asymptotic decompositions of convective diffusion problem solutions with raised decision for singular perturbed parabolic type equations are built. An approach to decision of singular perturbed convective diffusion problems in the presence of boundary lines with managing parameters is developed for the first time. The edge conditions of the contact problem on interaction of end less isotropic plate with curvilinear aperture (regular polygon with rounded corners) with an absolutely hard disc (stamps) under their mating with a gap or pull were written. A corresponding systems of singular integral equations with logarithmic kernels and integrally-differential equations with Hilbert's kernels for stress determination in the zone of contact between plate and disc (stamps) were built. An analytical and numerical methods for solving such systems were developed, by what the impact of ap erture's form, mating method and availability of an angular points in stamps on a plate's stress was discovered. Product Description popup.authors popup.nrat_date 2020-04-02 Close