Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

I. Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer).- Temperature jump and weak evaporation in a poly-atomic gas.- Evolution of the dynamic dissipative systems as a temporal “colour” fractal.- Existence of solutions and dynamical models of Chandrasekhar H-equations.- Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation—fragmentation dynamics.- Necessary and sufficient conditions for solvability of the initial-boundary value transport problem.- Solitary waves in two-component resonantly absorbing media.- Nonlinear vector model of the internal DNA dynamics.- The dynamics of the economic society structure.- Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation.- Mathematical model nonlinear heat transfer in an inhomogeneous dispersible system.- II. Numerical methods and computer simulations.- Unsteady viscous flow simulation based on QGD system.- Ecological after-effects numerical modelling under methane combustion.- Computer simulation of evaporation process into the vacuum.- On oscillation and nonoscillation domains for difference Riccati equation.- III. Nonlinear phenomena in physics.- Dusty particle interaction in plasma placed in magnetic field.- Tunnel transport of electrons at anharmonic accepting mode.- Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates.- Nonlinear spin waves and magnet-acoustic resonance in the model of Heisenberg magnet.- Modeling of 2delectron field emission from silicon microcathode.- Echo-phenomenon in ferroelectric solid and liquid crystals.- Investigations of blistering in solids using stochastic model.-Electric potentials distribution for particles located in solution.- Statement and solution of a boundary value problem in a model of a plasma generator as controlled system.- IV. Nonlinear models in chemical physics and physical chemistry.- Complex representation of dynamics of coupled nonlinear oscillators.- Conducting channels structure and dielectric-metal switching stability in thin amorphous films.- Phenomenological description for process of multiple disintegration of solids under intensive stress action such as compression & shear.- Vaporization and growth of aerosol particles, given internal heat release and radiant heat exchange.- Vaporization and growth of large and moderately large particles at considerable differences of gaseous component concentrations.- Diffusive vaporization and growth of assembly ofN-large particles.- Analysis of the phenomenon of autoacceleration in free radical polymerization.- Quntum-chemical models for the active centers of transition metals biologically active complexes. Interconnection of the active centers structure and the functions.- Relations between the properties of substances and their molecular structure: phenomenological study of substituted methanes and their analogs.