On nonparametric surfaces of constant mean curvature
On nonperturbative localization with quasi-periodic potential.
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 nonstationary Stokes problem in exterior domains
On nonsymmetric two-dimensional viscous flow through an aperture.
On nontrivial solutions of a semilinear wave equation
On nonviscous compressible fluids in a time-dependent domain
On normal stratified pseudomanifolds.
On Numerical Asymptotic Behavior of Finite Element Solutions for Parabolic Equations.
On numerical solution of a variational inequality of the 4th order by finite element method
The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.
On numerical solution of the Dirichlet problem by the method of locally-canonical decomposition.
On Numerical Solution of the Gardner–Ostrovsky Equation
A simple explicit numerical scheme is proposed for the solution of the Gardner–Ostrovsky equation (ut + cux + α uux + α1u2ux + βuxxx)x = γu which is also known as the extended rotation-modified Korteweg–de Vries (KdV) equation. This equation is used for the description of internal oceanic waves affected by Earth’ rotation. Particular versions of this equation with zero some of coefficients, α, α1, β, or γ are also known in numerous applications....
On numerical solutions of partial differential equations by the decomposition method
On one algorithm for solving the problem of source function reconstruction
In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated. Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure for solving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). At every step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robust to perturbations...
On one class of matrix differential operators.
On one system of nonlinear equations