Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Novosibirsk participants

Equipotential method in problems of hydrodynamics

Grebenev V.N., Shokin Yu. I.

Institute of Computational Technologies (Novosibirsk)

The article is devoted to development the equipotential lines and surfaces method for studying qualitative properties solutions for nonlinear degenerated equations and systems of parabolic equations arising from nonlinear diffusion processes and parametric models of turbulence. Using the method under consideration, we obtain the new results concerning dynamics of diffusion processes and turbulent transport in a fluid or a gas.

This research was supported by the Russian Foundation for the Basic Research (01-01-00783) and by the Integration Project SD RAS (2000-01).

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Note. Abstracts are published in author's edition



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