Scientific Seminar in Mathematical Physics

On April 30, 2020, a scientific seminar «Differential equations of mathematical physics and their applications», co-organized with Institute of Mathematics and Mathematical Modeling SC MES RK and International Information Technology University, will be held at Abai KazNPU.

Zoom platform

Connect to the conference

https: https://us04web.zoom.us/j/79034821357

Conference ID:  790 3482 1357

Event time: 11:00, April 30, 2020

Seminar Leaders: academician of the NAS RK M. Otelbayev, Professors A.S. Berdyshev, B.D. Koshanov

IT support: Ph.D. student Baishemirov Zh.D.

Speaker: Ph.D. student Ryskan A.R. (KazNPU)

Topic: «Solving of boundary value problems with the Neumann and Dirichlet conditions for the second order elliptic equation»

Summary:

Using the constructed fundamental solutions, we study the Neumann and Dirichlet boundary value problems for the four-dimensional degenerate elliptic Hellerstedt equation. Fundamental solutions are expressed in terms of the Lauricell hypergeometric functions of four variables. To prove the uniqueness of the solutions to the problems under consideration, the energy integral method is used. In the course of proving the existence of solutions to problems, differentiation formulas, decomposition formulas, some formulas of related relations and the autotransformation formula of hypergeometric functions are used. To record the solution of the problem in explicit form, the Gauss-Ostrogradsky formula is used.

Department of Mathematics and Mathematical Modeling