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Abstract: In the recent paper [J.\ Phys.\ A 44 (2011) 065203], we have arrived at the closed-form expression for the Green's function for the partial differential operator describing propagation of a ...
Abstract: We recall the \PFS} model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated as a fr...
In this paper we study the problem of uniqueness of solutions to the Hartree and Hartree-Fock equations of atoms. We show, for example, that the Hartree-Fock ground state of a closed shell atom is uni...
Let M3 be a closed hyperbolic three manifold. We show that the number of genus g surface subgroups of 1(M3) grows like g 2g.
We study the contraction of a convex immersed plane curve with speed 1 k , where ∈ (0, 1] is a constant and show that, if the blow-up rate of the curvature is of type one, it will converge to a homo...
The vector space V generated by the conjugacy classes in the funda-mental group of an orientable surface has a natural Lie cobracket  : V −→ V × V.For negatively curved surfaces,  can be compu...
We consider the fundamental group p of a surface of finite type equipped with the infinite generating set consisting of all simple closed curves. We show that every nilpotent quotient of p has finite ...
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with timelike binormal in dual Lorentzian space.
We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with a spacelike binormal in dual Lorentzian space.

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