Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 10.04.1945
E-mail:
Keywords: partial differential equations, non-linear differential equations, Navier–Stokes system, boundary layer theory, Prandtl system, hydrodynamics of non-Newtonian fluids, magnetohydrodynamics.

Subject:

The existence of a solution of a system of boundary layer equations that arise in the hydrodynamics of a non-Newtonian liquid is proved. It is established that the rate of propagation of the perturbations is finite under particular conditions. The existence of the solution of basic boundary problems and initial-boundary value problems for systems of magnetohydrodynamics of pseudoplastic and dilatantous media is proved. It is solved some free boundary problems of non-Newtonian and conducting fluids. The method of homogenization for the boundary layer equations with a rapidly oscillating parameter is applied.

Main publications:

1. Samokhin V. N., “Obobschennye resheniya zadachi o prodolzhenii pogranichnogo sloya psevdoplasticheskoi zhidkosti”, Trudy sem. im. I. G. Petrovskogo, 3, 1978, 161–175    
2. Samokhin V. N., “O sisteme uravnenii magnitogidrodinamicheskogo pogranichnogo sloya dilatantnoi sredy”, Differents. uravneniya, 29:2 (1993), 328–336    
3. Samokhin V. N., “Suschestvovanie resheniya odnoi modifikatsii sistemy uravnenii magnitnoi gidrodinamiki”, Matem. sb., 182:3 (1991), 395–407      
4. Samokhin V. N., “Ob odnom klasse uravnenii, obobschayuschikh uravneniya politropnoi filtratsii”, Differents. uravneniya, 32:5 (1996), 643–651    
5. Oleinik O. A., Samokhin V. N., Mathematical models in boundary layer theory, Chapman & Hall / CRC, Boca Raton, FL, 1999    

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Moscow Polytechnic University
• Moscow State University of Printing Arts
• Moscow Mathematical Society