Events and Invitations
Events
Mathematical modelling in biomedicine
The conference will present the state of the art in mathematical modelling in biomedicine including cardiovascular diseases, cancer modelling, mathematical oncology. Methods of modelling and mathematical analysis of the corresponding models will also be discussed.
Philip Maini, Professor of Oxford University, will visit RUDN University with a series of lectures on partial differential equations and applications to medicine
Prof. Maini was an elected member of the boards of the Society for Mathematical Biology and the European Society for Mathematical and Theoretical Biology. He is a Fellow of the Institute of Mathematics and its Applications (IMA), the Society for Industrial and Applied Mathematics (SIAM), and the Society of Biology, and is a corresponding member of the Mexican Academy of Sciences.
Scientific seminar on the differential and functional differential equation under the guidance of Professor A.L. Skubachevskii
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.
Seminar on nonlinear problems of PDE and mathematical physics
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.
Scientific seminar on the differential and functional differential equation under the guidance of Professor A.L. Skubachevskii
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.
Seminar on nonlinear problems of PDE and mathematical physics
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.
Scientific seminar on functional analysis and its applications under the guidance of A.V. Arutyunov, V.I. Burenkov and M. L. Goldman and V.N. Rozova
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
Scientific seminar on the differential and functional differential equation under the guidance of Professor A.L. Skubachevskii
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.