Events

We will consider issues related to the smoothness of generalized solutions of the second and third boundary value problems for strongly elliptic differential-difference equations near the boundary of subdomains.

There are discussed results obtained jointly with Prof. Frank Merle.We construct the solitons of Camassa-Holm equation which converge to the peakon. Next, we prove that all states of Camassa-Holm and those of Degasperis-Procesi   equation are in Newton type interaction. Finally, we present an algorithm which allows to convert all real number to a Newton  force.

Participation of students of the Department of Philology in "The Gas War That Threatens to Split Europe" multimedia conference and a master class with journalist and writer of Tatarstan, Diana Kadi from "Russia Today". The event provides an opportunity to communicate directly with employers, determine areas of further practical activity, and find out answers to questions of interest about further employment and work.

A novel synthetic strategy based on 1,3-dipolar cycloaddition of a-metalated isocyanides to double bond of different enamines and enaminones represent a direct, simple and effective approach to 2,4-substituted pyrroles from common and commercial available starting materials. We found that potassium tert-butoxide is a unique base which can be used for this type of cycloaddition. The new pyrroles were formed in good-to-excellent yields.

We will consider the problem of obtaining order-sharp integral estimates for the norms of restrictions of operators on the cones of functions with monotonicity properties. A discretization method will be discussed that takes into account the monotonicity of functions and allows to receive answers in a discrete form. To return to integral forms, the method of anti- discretization is used.

A novel synthetic strategy based on 1,3-dipolar cycloaddition of a-metalated isocyanides to double bond of different enamines and enaminones represent a direct, simple and effective approach to 2,4-substituted pyrroles from common and commercial available starting materials. We found that potassium tert-butoxide is a unique base which can be used for this type of cycloaddition. The new pyrroles were formed in good-to-excellent yields.

The heterocyclic pyrollidine rings are very common in natural products and are the leading components of alkaloids.(1) They are important synthetic components of HIV reverse transcriptase enzyme and inhibitors of substance P neurotransmitters.(2,3)

Using the Peakons (the exponential function) we will construct a family of  the Degasperis-Procesi type's equations for which the Peakons is a solitary wave traveling with the velocity c^(a-1). In the case a=2 we recover the quadratic Degasperis-Procesi equation and recall that Lin-Liu-K prove the orbital stability of the Peakons. In the case a=3 we will construct a fourth order stable evolution system (definition during the talk) with the cubic Degasperis-Procesi equation. Next, we will prove that the second order stable evolution system is equivalent to the Isaac Newton Force. Finally, we will make a numerical application constructed around the egyptian cubit.

The present study was focused to understand the binding interaction mechanism of, a newly synthesized 1-imino-1,2-dihydropyrazino[1,2-a]indol-3(4H)-one compound in bovine serum albumin and 5-hydroxytryptamine receptor 1B using molecular docking and molecular dynamics simulation studies.

We will consider the problem of obtaining order-sharp integral estimates for the norms of restrictions of operators on the cones of functions with monotonicity properties. A discretization method will be discussed that takes into account the monotonicity of functions and allows to receive answers in a discrete form. To return to integral forms, the techniques of anti- discretization is used

We study the Dirichlet problem for a functional differential equation containing shifted and contracted argument under the Laplacian sign. We establish conditions for the unique solvability and demonstrate also that the problem may have an infinite dimensional solution manifold.

Prussian Blue type nanoparticles are exciting nano-objects that combine the advantages of molecule-based materials and nanochemistry. They are made by transition metal ions or lanthanides assembled through cyano-bridged ligand into nano-sized architectures of the general formula AxMyII[M’III(CN)6]z (where A is a monovalent cation, MII and M’III are transition metal ions or lanthanides). These nano-objects attracted a great deal of interest during the last ten years due to their specific molecule-based nature that is different compared to other inorganic nanoparticles. This lecture will provide a brief critical look on the recent advancement in this field of research focalising on the design of PB type nano-objects and their nanocomposites promising as nanoprobes for imaging, as therapeutic agents for photothermal therapy, as well as agents for Cs+ decontamination.

Coordination chemistry of lanthanide ions allows the tailored design of multifunctional ferroelectric molecule-based materials where the properties are gathered into a single molecular system. We investigate here, by using luminescent and magnetically anisotropic lanthanides ions assembled with an enantiopure antenna ligand, the synthesis of high temperature ferroelectric complexes having a high degree of functionality, combining Single-Molecule Magnet behavior, optical activity and lanthanide luminescence. Remarkably, these molecular systems behave as ferroelectrics up to a temperature above 180 K of the Curie temperature of BaTiO3, making it the highest temperature working molecular ferroelectric yet reported. Remarkably, investigation of the magnetoelectrical coupling at room temperature confirms their great potential as multiferroics.

The nitrogen heterocycle presents a very important use in the pharmaceutical and agrochemicals synthesis. In this case the substituted tetrahydroisoquinoline has a broad range of biologicals activities.

A useful method will be discussed to decide whether a given non-singular projective variety is not toric. The main idea of this method is to recognize invariant subgraphs of the weight (hyper)graph w.r.t. the connection, and to compare them with faces of a simple moment polytope of a projective toric variety.