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 parabolic functional differential equations in unbounded domains
On partial differential inequalities of the first order
On polyharmonic maps into spheres in the critical dimension
On polynomials of Sheffer type arising from a Cauchy problem.
On Pseudo-monotone Operators and Nonlinear Noncoercive Variational Problems on Unbounded Domains.
On quasiperiodic motions in a one-dimensional two-phase Stefan problem
On Signorini problem for von Kármán equations
On Signorini problem for von Kármán equations. The case of angular domain
The paper deals with the generalized Signorini problem. The used method of pseudomonotone semicoercive operator inequality is introduced in the paper by O. John. The existence result for smooth domains from the paper by O. John is extended to technically significant "angular" domains. The crucial point of the proof is the estimation of the nonlinear term which appears in the operator form of the problem. The substantial technical difficulties connected with non-smoothness of the boundary are overcome...
On singular non-linear parabolic differential inequalities in unbounded domains
On some boundary value problems for one mixed equation with discontinuous coefficients in a rectangular domain.
On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
On some elliptic transmission problems
Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers with physically...
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines.
On some improperly posed problem for a degenerate nonlinear parabolic equation.