![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
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...
-
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...
-
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...
-
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...
-
Article
Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data
-
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...
-
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...
-
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.
-
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...
-
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...
-
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...
-
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...
-
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...
-
Article
Solvability of a problem with an unknown boundary between the domains of a parabolic and an elliptic equations
-
Article
Existence of a smooth solution in a filtration problem