Helmholtz's vorticity transport equation with partial discretization in bounded 3-dimensional domains.
Solvability of evolution problems for viscious incompressible flow in domains with non-compact boundaries
Initial-boundary value problem for generalized Stokes equations
The paper is concerned with the solvability theory of the generalized Stokes equations arising in the study of the motion of non-Newtonian fluids.
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation
On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces with and in anisotropic Holder spaces.
Green function for the heat equation with oblique boundary conditions in an angle
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