Maxwell's equations

Generalized Equations for Ion Transport in Aqueous Solutions Through Membrane Structures: І. Electromagnetic and Subdiffusion Processes

A system of generalized transport equations for ions and water molecules in the system "initial aqueous solution of electrolyte – membrane – filtrate" is obtained, which describes diffusion electromagnetic processes through Maxwell's equations.  The method of non-equilibrium statistical operator Zubarev is used.  Generalized transport equations for ions of the $\bar{a}$ variety, which must be retained by the membrane for the purpose of selectivity, are identified.  Using the method of fractional calculus and modeling the corresponding memory function, a generalized subd

Statistical Approach to Describing the Processes of Transport of Lipoproteins and Other Components in Blood Vessels – I

To describe atherosclerotic processes in the intima of blood vessels, a statistical approach to describing non-equilibrium processes of blood component transport in the lumen-endothelium-intima system of blood vessels has been proposed, which involves taking into account the nature of interactions between blood components.  Using the method of non-equilibrium statistical operator for the parameters of the abbreviated description, a system of transport equations has been obtained, which, within the framework of the selected model of component interaction, can describe no

Mathematical modelling of established oscillations of electromagnetic field in a piecewise-homogeneous half-space with indirect boundary element method

The numerical-analytic technique for finding electric and magnetic components of electromagnetic field (EMF) in a piecewise homogeneous conductive half-space is suggested. EMF is inducted by a horizontal contour with current harmonically changing in time. The problem of Maxwell is formulated and solved by means of the boundary element method.