On the shape of solutions to some variational problems
On the simplicial structure of some Weil bundles
The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of -dimensional velocities, or -jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding...
On the solution of elliptic partial differential equations with an unbounded Dirichlet integral
On the solution of indentation and crack problems in linear elasticity by use of higher special functions
On the solvability of the non-homogeneous potential problem at a corner singularity
On the structure constants of certain Hecke algebras
[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group is examined; here is a finite field of elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....
On the theory of the 4-quasiplanar mappings of almost quaternionic spaces
Authors’ abstract: “4-quasiplanar mappings of almost quaternionic spaces with affine connection without torsion are investigated. Geometrically motivated definitions of these mappings are presented. Based an these definitions, fundamental forms of these mappings are found, which are equivalent to the forms of 4-quasiplanar mappings introduced a priori by I. Kurbatova [Sov. Math. 30, 100-104 (1986; Zbl 0602.53029)]”.
On the third order nonlinear ordinary differential equation
On the topological classification of complete linear metric spaces
On the topological product of discrete -compact spaces
On the transfer of conditions as applied to solving two-dimensional boundary value problems
On the transformation theory of ordinary second-order linear symmetric differential equations
On three-dimensional hypersurfaces with type number two in and treated in intrinsic way
On topological Boolean algebras
On two-to-one functions
On types of non-integrable geometrie
A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Levi-Civita connection. In the presented paper, the following non-integrable G-structures are studied: SO(3)-structures in dimension 5; almost complex structures in dimension 6; G-structures in dimension 7; Spin(7)-structures in dimension 8; Spin(9)-structures in dimension 16 and F-structures in dimension 26. G-structures admitting an affine connection with totally skew-symmetric torsion are characterized....
On uniqueness of a weak solution to the steady Navier-Stokes problem in a profile cascade with a nonlinear boundary condition on the outflow
On Urysohn's lemma
On using artificial compressibility method for solving turbulent flows
In this work, artificial compressibility method is used to solve steady and unsteady flows of viscous incompressible fluid. The method is based on implicit higher order upwind discretization of Navier-Stokes equations. The extension for unsteady simulation is considered by increasing artificial compressibility parameter or by using dual time stepping. The methods are tested on laminar flow around circular cylinder and used to simulate turbulent unsteady flows by URANS approach. The simulated cases...
On various properties of the solutions of third- and fourth-order linear differential equations