Selected publications

1. Three-dimensional instability of an elliptic Kirchhoff vortex (with V. A. Vladimirov), Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza, 1988, No 3, 40-45 (Engl. transl. in Fluid Dynamics, 1988, 23, No 3, 356--360).

2. Slow motions of a solid in continuously stratified fluid (with V. A. Vladimirov), Zhurn. Prikl. Mekh. i Tekhn. Fiz., 1991, No 2, 55-60 (Engl. transl. in J. Appl. Mech. & Tech. Phys., 1991, 27, No 2, 194--200).

3. On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part II. Stability criteria for two-dimensional flows (with V. A. Vladimirov and H. K. Moffatt), J. Fluid Mech. (1996), 329, 187--205.

4. On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows (with V. A. Vladimirov and H. K. Moffatt), J. Plasma Phys. (1997), 57, No 1, 89--120.

5. On energy instability of liquid crystals (with V. A. Vladimirov), European J. Appl. Math. (1998), 9, 23--36.

6. Note on the nonlinear stability of stratified fluid equilibria (with V. A. Vladimirov), Physica D (1998), 118, 123--133.

7. The three-dimensional stability of steady magnetohydrodynamic flows of an ideal fluid (with V. A. Vladimirov), Physics of Plasmas (1998), 5, No 12, 4199--4204. (pdf)

8. On the stability of a dynamical system `rigid body + inviscid fluid' (with V. A. Vladimirov), J. Fluid Mech. (1999),386, 43--75. (pdf)

9. On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part IV. Generalized isovorticity principle for three-dimensional flows (with V. A. Vladimirov and H. K. Moffatt), J. Fluid Mech. (1999), 390, 127--150. (pdf)

10. On Arnold's variational principles in fluid mechanics (with V. A. Vladimirov), Fields Institute Communications (1999), 24, 471--495. (pdf)

11. The stability of steady magnetohydrodynamic flows with current-vortex sheets (with Y.L.Trakhinin and V. A. Vladimirov), Physics of Plasmas, 2003, 10, 2649-2658. (pdf)

12. Virial functionals in fluid dynamics (with V. A. Vladimirov), Mosc. Math. J., 2004, 3, 691--709. (pdf)

13. Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation (with V. A. Vladimirov), Phys. Plasmas, 2004, 11, 3586-3594. (pdf)

14. Asymptotic model for free surface flow of an electrically conducting fluid in high-frequency magnetic field (with V. A. Vladimirov), Journal of Computational and Applied Mathematics, 2005 (In Press, Corrected Proof, Available online 31 May 2005). (pdf)

15. The stability of Alfv\'{e}n discontinuity (with Y. L. Trakhinin), Physics of Plasmas, 13, 102101--102108 (2006). (pdf)