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The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.
The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.
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Editors' preliminaries. I: Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer). Temperature jump and weak evaporation in a polyatomic gas; A.V. Latyshev, A.A. Yushkanov. Evolution of the dynamic dissipative systems as a temporal `colour' fractal; S.F. Timashev, et al. Existence of solutions and dynamical models of Chandrasekhar H-equations; J. Chen, et al. Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation-fragmentation dynamics; P.B.Dubovskii. Necessary and sufficient conditions for solvability of the initial boundry value transport problem; V.P. Shutyaev. Solitary waves in two-component resonantly absorbing media; Y.V. Kistenev, A.V. Shapovalov. Nonlinear vector model of the internal DNA dynamics; L.V. Yakushevich. The dynamics of the economic society structure; D.S. Chernavskii, et al. Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation; L.A. Uvarova. Mathematical model nonlinear heat transfer in an inhomogeneous dispersible system; M.A. Smirnova. II: Numerical methods and computer simulations. Unsteady viscous flow simulation based on QGD system; B.N. Chetverushkin, E.V. Shilnikov. Ecological after-effects numerical modelling under methane combustion; B.N Chetverushkin, et al. Computer simulation of evaporation process into the vacuum; L.V. Plentnev, et al. On oscillation and nonoscillation domains for difference Riccati equation; J.V. Elyseeva. III: Nonlinear phenomena in physics. Dusty particle interaction in plasma placed in magnetic field; A.P. Nefedov, V.D. Lakhno. Tunnel transport of electrons at anharmonicaccepting mode; D.S. Cernavskii, et al. Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates; Sh. Takeno, H. Matsueda. Nonlinear spin waves and magnet- acoustic resonance in the model
Editors' preliminaries. I: Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer). Temperature jump and weak evaporation in a polyatomic gas; A.V. Latyshev, A.A. Yushkanov. Evolution of the dynamic dissipative systems as a temporal `colour' fractal; S.F. Timashev, et al. Existence of solutions and dynamical models of Chandrasekhar H-equations; J. Chen, et al. Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation-fragmentation dynamics; P.B.Dubovskii. Necessary and sufficient conditions for solvability of the initial boundry value transport problem; V.P. Shutyaev. Solitary waves in two-component resonantly absorbing media; Y.V. Kistenev, A.V. Shapovalov. Nonlinear vector model of the internal DNA dynamics; L.V. Yakushevich. The dynamics of the economic society structure; D.S. Chernavskii, et al. Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation; L.A. Uvarova. Mathematical model nonlinear heat transfer in an inhomogeneous dispersible system; M.A. Smirnova. II: Numerical methods and computer simulations. Unsteady viscous flow simulation based on QGD system; B.N. Chetverushkin, E.V. Shilnikov. Ecological after-effects numerical modelling under methane combustion; B.N Chetverushkin, et al. Computer simulation of evaporation process into the vacuum; L.V. Plentnev, et al. On oscillation and nonoscillation domains for difference Riccati equation; J.V. Elyseeva. III: Nonlinear phenomena in physics. Dusty particle interaction in plasma placed in magnetic field; A.P. Nefedov, V.D. Lakhno. Tunnel transport of electrons at anharmonicaccepting mode; D.S. Cernavskii, et al. Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates; Sh. Takeno, H. Matsueda. Nonlinear spin waves and magnet- acoustic resonance in the model
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