Alexander BalkProfessorPh.D. 1988, Physics and Mathematics, Moscow Institute of Physics and Technology
Office: JWB 304 Phone: 801-581-7512 email: balk "at" math.utah.edu homepage: www.math.utah.edu/~balk/ |

**Research Interests**

Research Statement:

My main research interest at the present is in the Rossby waves. These are the waves that
represent huge vortices in the ocean and atmosphere, due to the the earth's rotation.
People encounter the same kind of waves (from the mathematical viewpoint) in the nuclear
fusion, when they try to confine hot plasma by a strong magnetic field. We have found that
the nonlinear dynamics of Rossby waves has an unexpected extra invariant (in addition to
the energy and momentum). It was proved that this invariant is unique. Recently, we have
found that this invariant implies that the energy organizes itself, transfering from small
scale eddies to large scale zonal jets (along the parallels). This is a widely observed
phenomenon on Earth and other planets (in particular, on Jupiter and Saturn). My other
long-standing research interest is in Turbulence. Particularly, I am concerned with the
Wave Turbulence. Examples are the rough sea (due to the water waves), the climate (due to
the Rossby waves) or optical turbulence (due to the electromagnetic waves). Recently I
have developed the statistical near identity transformation (SNIT) to derive the averaged
equations of wave turbulence.