Flavonoids and Sterols of Centaurea squarrosa

Chemistry of Natural Compounds -     

Terpenoids from the Plant Ferula ferganensis

Chemistry of Natural Compounds -     

Determining the Thermal Mode Setting Parameters Based on Output Data

Differential Equations - We consider a mathematical model of the process of heating a cylindrical domain by embedded heat sources under the assumption that heat exchange with the environment occurs...     

On the molecular theory of relaxation processes and the viscoelastic properties of magnetic liquids

The kinetic equations for one-and two-particle distribution functions including the contributions of spatial correlation of density and correlation of velocities were used to obtain equations of generalized hydrodynamics of magnetic liquids, whose transfer coefficients microscopically depended on the spatial and time scales. (The relaxing flows in these equations comprise kinetic and potential parts, which ensures the inclusion of translational and structural relaxation processes.) The system of generalized hydrodynamics equations obtained can be used to study transfer phenomena in magnetic liquids. Smoluchowski equations for binary density n ₂(q ₁, q ₂, t) and binary flow of particles I ₂(q ₁, q ₂, t) were obtained and their general solutions found to construct a closure of the initial kinetic equation for the one-particle distribution function. The asymptotic behavior of these solutions at low frequencies (ω → 0) was analyzed and found to coincide with the long-time asymptotes of autocorrelation functions. The viscoelastic properties of magnetic liquids were studied over a wide range of frequencies in the presence of an external magnetic field H. Microscopic equations for viscosity coefficients and elastic moduli were found and their asymptotic behavior in slow and fast processes considered.