Abstract. We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in R with compact and smooth boundary, subject to the kinematic and vorticity boundary conditions on the non-flat boundary. We observe that, under the nonhomogeneous boundary conditions, the pressure p can be still recovered by solving the Neumann problem for the Po...

We prove the existence and Besov regularity of density solution to a general parabolic SPDE which includes stochastic Burgers equation on an unbounded domain. use elementary approach based fractional integration by parts.

In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step in which well-known Gauss quadrature rule is corrector step and generalized Newton taken as predictor step. The convergence of proposed established under some acceptable conditions. Numerical examples prove consistency capability new method.

An extended Peng-Robinson equation of state (EPR-EOS) is used to model the vapor-liquid equilibrium (VLE) in systems containing (water + NaCl + CO2), (water + methanol + NaCl + CO2), (water + Na2SO4 + CO2) and (water + NH4Cl + CO2). The binary and ternary interaction parameters between salt and solvent are adjusted...

We consider the problem of searching for a best LAD-solution of an overdetermined system of linear equations Xa = z, X ∈ Rm×n, m ≥ n, a ∈ R, z ∈ R. This problem is equivalent to the problem of determining a best LAD-hyperplane x → ax, x ∈ R on the basis of given data (xi, zi), xi = (x (i) 1 , . . . , x (i) n ) ∈ R, zi ∈ R, i = 1, . . . ,m, whereby the minimizing functional is of the form F (a) ...