Skip to main content

and
  1. No Access

    Article

    Liouville Property for Solutions of the Linearized Degenerate Thin Film Equation of Fourth Order in a Halfspace

    We consider a boundary value problem in a half-space for a linear parabolic equation of fourth order with a degeneration on the boundary of the half-space. The equation under consideration is substantially a l...

    S. P. Degtyarev in Results in Mathematics (2016)

  2. Article

    Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder’s estimates for a degenerate parabolic problem with dynamic boundary conditions

    We consider multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type in classes of smooth functions. First we find a natural Hölder class for the Dirichlet boundar...

    S. P. Degtyarev in Nonlinear Differential Equations and Applications NoDEA (2015)

  3. Article

    Classical solutions of many-dimensional elliptic–parabolic free boundary problems

    We consider a free boundary problem modeling fluid flow in a partially saturated porous media. In that context an unknown function represents the pressure and satisfies an elliptic equation in the saturated do...

    B. V. Bazaliy, S. P. Degtyarev in Nonlinear Differential Equations and Applications NoDEA (2009)

  4. No Access

    Article

    On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

    We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In term...

    S. P. Degtyarev in Ukrainian Mathematical Journal (2009)

  5. No Access

    Article

    Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data

    S. P. Degtyarev, A. F. Tedeev in Doklady Mathematics (2007)

  6. No Access

    Article

    On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain

    We prove the existence and uniqueness of a classical solution of a singular elliptic boundary-value problem in an angular domain. We construct the corresponding Green function and obtain coercive estimates for...

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (2007)

  7. No Access

    Article

    Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation

    We establish exact-order bilateral estimates for the size of the support of a solution of the Cauchy problem for a doubly nonlinear parabolic equation with anisotropic degeneration in the case where the initia...

    S. P. Degtyarev, A. F. Tedeev in Ukrainian Mathematical Journal (2006)

  8. No Access

    Article

    Influence of the inhomogeneity of porous media on the instantaneous compactification of the support of solution of the filtration problem

    We study the phenomenon of instantaneous compactification and the initial behavior of the support of solution of the filtration equation for inhomogeneous porous media.

    S. P. Degtyarev in Ukrainian Mathematical Journal (2006)

  9. No Access

    Article

    Hydrocarbon specificity in the selective catalytic reduction of NOx over Cu-ZSM-5 and Co-ZSM-5 catalysts

    Transformation of surface nitrates under CH4 (CH4+O2) was found to ensure steady-state activity of Co-ZSM-5 in the selective catalytic reduction of nitrogen oxides by methane (CH4-SCR). For Cu-ZSM-5, such species...

    V. A. Sadykov, S. A. Beloshapkin in Reaction Kinetics and Catalysis Letters (1998)

  10. No Access

    Article

    Dispersed Complex Phosphates as Tailored Acid Catalysts: Synthesis and Properties

    The relationship between the chemical composition, bulk real structure, surface properties and catalytic activity of dispersed complex framework zirconium phosphates with a NASICON-type structure is considered...

    Vladislav A. Sadykov, D. I. Kochubei, S. P. Degtyarev in MRS Online Proceedings Library (1997)

  11. No Access

    Article

    Stefan problem with a kinetic and the classical conditions at the free boundary

    The Stefan problem is considered with the kinetic condition u+=u=ɛk(y, τ)-ɛv at the phase interface, where k(y, τ) is the half-sum of the principal curvatures of the free boundary and v is the speed of its shift...

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (1992)

  12. No Access

    Chapter

    The Classical Stefan Problem as the Limit Case of the Stefan Problem with a Kinetic Condition at the Free Boundary

    In some papers mathematical models of solidification have been grounded as the limit of the boundary problems of the phase-field equations (see e.g. [1]). At the same time with the classical Stefan problem, which...

    B. V. Bazaliy, S. P. Degtyarev in Free Boundary Problems in Continuum Mechanics (1992)

  13. No Access

    Article

    Structure of surface species in Mo/Al2O3 catalysts prepared through Mo(V) oxalate

    EXAFS and RED structural studies of surface species of Mo/Al2O3 catalysts prepared through the anchoring of [Mo2O4(C2O4)2(H2O)]2− anion to γ-Al2O3 have shown that these surface metal complexes preserve a binuclea...

    A. N. Startsev, O. V. Klimov, S. A. Shkuropat in Reaction Kinetics and Catalysis Letters (1990)

  14. No Access

    Article

    Solvability of a problem with an unknown boundary between the domains of a parabolic and an elliptic equations

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (1989)

  15. No Access

    Article

    Existence of a smooth solution in a filtration problem

    V. N. Gusakov, S. P. Degtyarev in Ukrainian Mathematical Journal (1989)