# Oleksii . Hukalov

Associate professor of the department of pure mathematics, phd in mathematics

## List of selected publications

**V. D. Gordevskii, A. A. Gukalov **
*Maxwell distributions in a model of rough spheres* //
Ukrainian Mathematical Journal ,
Vol. 63, No. 5, pp. 629–639,

Keywords: Angular Velocity,Boltzmann Equation, Kinetic Theory, Maxwell Distribution, Solid Sphere

**V.D.Gordevskyy, A.A.Gukalov**
*Interaction of the eddy flows in the Bryan-Pidduck model* //
Visnyk of Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics,
2011, v. 990, p.27-41.,

**A.A. Gukalov**
*Interaction between "Accelerating-Packing" Flows for the Bryan-Pidduck Model * //
Journal of Mathematical Physics, Analysis, Geometry,
vol. 9, No 3, pp. 316-331 ,

Keywords: rough spheres, Bryan-Piddack equation, Maxwellian, "acce- lerating-packing" flows, error, bimodal distribution.

**Gordevskii, V.D., Gukalov, A.A. **
*Interaction of locally Maxwellian flows in the model of rough spheres.* //
Theoretical and Mathematical Physics,
176, 1100–1113 (2013). ,

Keywords: Bryan-Pidduck equation, approximate explicit solution, accelerating packing,weighted residual

**O. O. Hukalov, V. D. Gordevskyy**
*Infinite-modal approximate solutions of the Bryan-Pidduck equation* //
Matematychni Studii,
vol. 49, No 1, pp. 95-108,

Keywords: Bryan-Pidduck equation; rough spheres; uniform-integral error; infinite-modal approximate solutions; global Maxwellian; screws

**O.O.Hukalov, V.D.Gordevskyy**
*The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model* //
Journal of Mathematical Physics, Analysis, Geometry,
2018, vol. 14, No 1, pp. 54-66,

Keywords: rough spheres, Bryan–Pidduck equation, error, Maxwellian flows, bimodal distribution, hydrodynamic parameters.