On exact solutions of one-dimensional diffusion problems with free boundaries for parabolic equations.
On FEM solution for 3D continuous casting problem
On geometrical properties of free boundaries in the Hele-Shaw flow moving boundary problem.
On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid.
On local motion of a compressible barotropic viscous fluid bounded by a free surface
We consider the motion of a viscous compressible barotropic fluid in ℝ³ bounded by a free surface which is under constant exterior pressure, both with surface tension and without it. In the first case we prove local existence of solutions in anisotropic Hilbert spaces with noninteger derivatives. In the case without surface tension the anisotropic Sobolev spaces with integration exponent p > 3 are used to omit the coefficients which are increasing functions of 1/T, where T is the existence time....
On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.
On minimal surfaces with free boundaries in given homotopy classes
On noncompact free boundary problems for the plae stationary Navier-Stokes equations.
On nonstandard potentials in a Stefan problem.
On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface [Book]
On nonstationary motion of a fixed mass of a general fluid bounded by a free surface
In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.
On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
On nonsymmetric two-dimensional viscous flow through an aperture.
On quasiperiodic motions in a one-dimensional two-phase Stefan problem
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines.
On some inequalities for solutions of equations describing the motion of a viscous compressible heat-conducting capillary fluid bounded by a free surface
We derive inequalities for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. The inequalities are crucial in proving the global existence of solutions belonging to certain anisotropic Sobolev-Slobodetskii space and close to an equilibrium state.
On symmetric equilibrium of an isothermal gas with a free boundary and a body force.
On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer.
On the Boundary Behaviour of Partially Free Minimal Surfaces.