Recent Submissions

  • On the Uniqueness of the Classical Solutions of the Radial Viscous Fingering Problems in a Hele-Shaw Cell 

    Atusi Tani; Hisasi Tani; Атуси, Тани; Хисаси, Тани (Сибирский федеральный университет. Siberian Federal University, 2021)
    In [9, 10] we established the existence of classical solutions to two-phase and one-phase radial viscous fingering problems, respectively, in a Hele-Shaw cell by the parabolic regularization and by vanishing the coefficient ...
  • On some Inverse Parabolic Problems with Pointwise Overdetermination 

    Pyatkov, Sergey G.; Baranchuk, Vladislav A.; Пятков, Сергей Г.; Баранчук, Владислав А. (Сибирский федеральный университет. Siberian Federal University, 2021)
    We examine well-posedness questions in the Sobolev spaces of inverse problems of recovering coefficients depending on time in a parabolic system. The overdetermination conditions are values of a solution at some collection ...
  • The Problem of Determining of the Source Function and of the Leading Coefficient in the Many-dimensional Semilinear Parabolic Equation 

    Polyntseva, Svetlana V.; Spirina, Kira I.; Полынцева, Светлана В.; Спирина, Кира И. (Сибирский федеральный университет. Siberian Federal University, 2021)
    We consider the problem of determining the source function and the leading coefficient in a multidimensional semilinear parabolic equation with overdetermination conditions given on two different hypersurfaces. The ...
  • The Regularity of the Solutions of Inverse Problems for the Pseudoparabolic Equation 

    Lyubanova, Anna Sh.; Любанова, Анна Ш. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The paper discusses the regularity of the solutions to the inverse problems on finding unknown coefficients dependent on t in the pseudoparabolic equation of the third order with an additional information on the boundary. ...
  • Fast Modelling of Tsunami Wave Propagation using PC with Hardware Computer Code Acceleration 

    Lavrentiev, Mikhail M.; Marchuk, Andrey G.; Лаврентьев, Михаил М.; Марчук, Андрей Г. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The field programmable gates array (FPGA) microchip is applied to achieve considerable performance gain in simulation of tsunami wave propagation using personal computer. The two-step Mac-Cormack scheme was used for ...
  • Inverse Problems of Finding the Lowest Coefficient in the Elliptic Equation 

    Kozhanov, Alexander I.; Shipina, Tatyana N.; Кожанов, Александр И.; Шипина, Татьяна Н. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The article is devoted to the study of problems of finding the non-negative coefficient q(t) in the elliptic equation utt + a2Δu − q(t)u = f(x, t) (x = (x1, . . . , xn) ∈ Ω ⊂ Rn, t ∈ (0, T), 0 < T < +∞, Δ — operator ...
  • Boundary Value Problems for Fourth-Order Sobolev Type Equations 

    Kozhanov, Alexander I.; Кожанов, Александр И. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The goal of the article is the study of solvability in the Sobolev spaces of boundary value problems for some classes of Sobolev-type fourth-order linear equations. We will prove that an initial boundary value problems ...
  • The Splitting Algorithm in Finite Volume Method for Numericai Solving of Navier-Stokes Equations of Viscous Incompressible Fluids 

    Kovenya, Viktor M.; Tarraf, Daniel; Ковеня, Виктор М.; Тарраф, Даниэль (Сибирский федеральный университет. Siberian Federal University, 2021)
    For the numerical solution of the Navier-Stokes equations, written in an integral form, an implicit of finite-volume algorithm is proposed, which is a generalization of previously proposed differences schemes. Using the ...
  • On the Solvability of the Identification Problem for a Source Function in a Quasilinear Parabolic System of Equations in Bounded and Unbounded Domains 

    Kopylova, Vera G.; Frolenkov, Igor V.; Копылова, Вера Г.; Фроленков, Игорь В. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The paper considers the problem of identification for a source function in one of two equations of parabolic quasilinear system. The case of Cauchy data in an unbounded domain and the case of boundary conditions of the ...
  • Distribution of Zones of Elastic and Plastic Deformation Appearing in a Layer under Compression by Two Rigid Parallel Plates 

    Gomonova, Olga V.; Senashov, Sergey I.; Cherepanova, Olga N.; Гомонова, Ольга В.; Сенашов, Сергей И.; Черепанова, Ольга Н. (Сибирский федеральный университет. Siberian Federal University, 2021)
    A problem of distribution of zones of elastic and plastic deformation appearing in a layer of elasto-plastic material under compression by two rigid parallel plates, for the case of plane strain state with Tresca – ...
  • Solution of a Two-Layer Flow Problem with Inhomogeneous Evaporation at the Thermocapillary Interface 

    Bekezhanova, Victoria B.; Goncharova, Olga N.; Shefer, Ilya A.; Бекежанова, Виктория Б.; Гончарова, Ольга Н.; Шефер, Илья А. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The Ostroumov–Birikh type exact solution of thermodiffusion convection equations is constructed in the frame of mathematical model considering evaporation through the liquid–gas interface and the influence of direct and ...
  • Inverse Problem for Source Function in Parabolic Equation at Neumann Boundary Conditions 

    Andreev, Victor K.; Stepanova, Irina V.; Андреев, Виктор К.; Степанова, Ирина В. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The second initial-boundary value problem for a parabolic equation is under study. The term in the source function, depending only on time, is to be unknown. It is shown that in contrast to the standard Neumann problem, ...
  • Two-layer Stationary Flow in a Cylindrical Capillary Taking into Account Changes in the Internal Energy of the Interface 

    Andreev, Victor K.; Sobachkina, Natalya L.; Андреев, Виктор К.; Собачкина, Наталья Л. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The problem of two-dimensional stationary flow of two immiscible incompressible binary mixtures in a cylindrical capillary in the absence of mass forces is investigated. The mixtures are contacted through a common the ...
  • Analysis of the Boundary Value and Control Problems for Nonlinear Reaction–Diffusion–Convection Equation 

    Alekseev, Gennady V.; Brizitskii, Roman V.; Алексеев, Геннадий В.; Бризицкий, Роман В. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The global solvability of the inhomogeneous mixed boundary value problem and control problems for the reaction–diffusion–convection equation are proved in the case when the reaction coefficient nonlinearly depends on the ...