The monograph is devoted to the issues of problems correctness substantiation for nonlinear equations systems which have applied value in mathematical physics. The contents is directed on revealing and analysis of the basic mathematical structures connected with issues of mathematical modeling methods substantiation, leading to nonlinear systems of preservation laws including Nave-Stoks’ system of gas dynamics, Boltsman’, Smoluhovsky’, Vlasov’ equations in physical kinetics. Also Stefan’ problem and heat-and-mass transfer models, connected with a crystals cultivation are described.
The book is intended for experts in the field of applied mathematics, physical kinetics and gas dynamics, and also for graduate and post-graduate students of corresponding specialties.
Valery A. Galkin: Doctor of Physical and Mathematical Sciences, Professor of the Obninsk State Technical University for Nuclear Power Engineering. The expert in the field of mathematical modeling and calculations in physical kinetics, theories of preservation laws. The author of over 120 scientific works. The organizer of the international conferences "P. L. Chebysheva's Mathematical Ideas and their Application to Modern Problems of Natural Sciences".