Solution généralisée locale d'une équation parabolique quasi linéaire dégénérée du second ordre
Solution globale de l'équation d'un gaz visqueux isotherme dans l'espace entier avec une grande force extérieure dérivant d'un potentiel
Solution globale de l'équation d'un gaz visqueux isotherme dans un domaine extérieur assujetti à une grande force dérivant d'un potentiel
Solution Manifolds and Submanifolds of Parametrized Equations and Their Discretization Errors.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction. (Short Communication).
Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces
A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space where is length of the pipe. The existence, unicity and stability...
Solution of a mathematical model of a single piston pump with a more detailed description of the valve function
In this paper a mathematical model of a fluid flow in a tube with a valve and a pump is solved. The function of the valve is described in more detail than in [3], thus making the model more complete.
Solution of a spectral problem for the curl and the Stokes operator with periodic boundary conditions.
Solution of a spectral problem for the curl operator on a cylinder.
Solution of a transmission problem for semilinear parabolic-hyperbolic equations by the time-discretization method.
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
Solution of Bellman's equation by means of a system of nonlinear singular integral equations.
Solution of Cauchy problems modulo flat functions
Solution of degenerate parabolic variational inequalities with convection
Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard’s equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.
Solution of degenerate parabolic variational inequalities with convection
Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard's equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.
Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
The author solves a mixed boundary value problem for linear partial differential equations of the elliptic type in a multiply connected domain. Dirichlet conditions are given on the components of the boundary of the domain up to some additive constants which are not known a priori. These constants are to be determined, together with the solution of the boundary value problem, to fulfil some additional conditions. The results are immediately applicable in hydrodynamics to the solution of problems...
Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.
Solution of Monotone Nonlinear Elliptic Boundary Value Problems.