On the decay estimates for the wave equation with a local degenerate or nondegenerate dissipation.
On the Decay of Solutions of Some Nonlinear Dissipative Wave Equations in Higher Dimensions.
On the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points.
On the Dirichlet problem in a characteristic rectangle for fourth order linear singular hyperbolic equations.
On the dynamics of the characteristic curves for the LSW model.
On the effect of temperature and velocity relaxation in two-phase flow models
We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium. These equilibrium states are characterized by the velocities and temperatures being equal in each phase. For each of these relaxation processes, we consider the limits of zero and infinite relaxation times. By expanding on previously established results, we derive a formulation of the mixture sound velocity for the thermally relaxed model. This...
On the effect of temperature and velocity relaxation in two-phase flow models
We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium. These equilibrium states are characterized by the velocities and temperatures being equal in each phase. For each of these relaxation processes, we consider the limits of zero and infinite relaxation times. By expanding on previously established results, we derive a formulation of the mixture sound velocity for the thermally relaxed model. This...
On the equations of ideal incompressible magneto-hydrodynamics
On the Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems
On the Estimates of the Convergence Rate of the Finite Difference Schemes for the Approximation of Solutions of Hyperbolic Problems, II Part
On the existence and uniqueness of solutions of Darboux problem for partial differential-functional equations
On the existence and uniqueness of solutions of some partial differential functional equations
On the existence and uniqueness of solutions of the Darboux problem for partial differential-functional equations in a Banach space
On the existence and uniqueness of solutions of the Goursat problem for systems of functional partial differential equations of hyperbolic type.
On the existence of a classical solution of a mixed boundary problem for a second order one-dimensional hyperbolic equation. II.
On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
The author examined non-zero -periodic (in time) solutions for a semilinear beam equation under the condition that the period is an irrational multiple of the length. It is shown that for a.e. (in the sense of the Lebesgue measure on ) the solutions do exist provided the right-hand side of the equation is sublinear.
On the Existence of Generalized Solutions and the Convergence of Difference Methods for Nonlinear Initial-Value Problems.
On the Existence of Global Smooth Solutions of Certain Semi-Linear Hyperbolic Equations.
On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term