Main topic

Hydrodynamic instabilities and the transition to complicated modes and chaos in fluids.

Problems

	Isothermal and nonisothermal flows between rotating cylinders (Couette-Taylor problem).
	Convection induced by thermal gradients.
	Double diffusion.
	Influence of spatial modulation of the temperature field on the stability of fluid.

Methods of researches

	Theory of dynamical systems.
	Theory of bifurcations.
	Spectral theory.
	Numerical analysis.