MS-Th-BC-10
Singular Problems and Integral Dynamical Models in Applied Mathematics - Part I of II
For Part II, see MS-Th-D-10

Date: August 13
Time: 10:00--12:00
Room: 206B

(Note: Click title to show the abstract.)

Organizer:
Sidorov, Denis (Energy Sys. Inst., Russian Acad. of Sci. (SB))

Abstract: This mini-symposium concentrates on the theory of singular equations especially applicable to stability, bifurcation and algorithmic analysis of DE/IEs in mechanics and mathematical physics. Mini-symposium addresses the recent results on existence theorems, regularization, and identification, including asymptotic, numerical and
group theoretic methods. The employment of such methods in various problems in modern physics, heat-and-power engineering, and mechanics (plasma, aeroelasticity theory, phase transitions, rheology) has given the authors rich possibilities for creativity and applications. The special attention will be paid to Vlasov-Maxwell systems which are in the core of relativistic models of plasma physics and Maxwell models of photonic crystalls.


MS-Th-BC-10-1
10:00--10:30
Perturbation Theory and the Banach¨CSteinhaus Theorem for Regularisation of the First Kind Equations
Sidorov, Denis (Energy Sys. Inst., Russian Acad. of Sci. (SB))
Sidorov, Nikolai (Irkutsk State Univ.)


MS-Th-BC-10-2
10:30--11:00
On Application of the Lyapunov-Schmidt-Trenogin Method to Bifurcation Analysis of the Vlasov-Maxwell System
Sidorov, Denis (Energy Sys. Inst., Russian Acad. of Sci. (SB))


MS-Th-BC-10-3
11:00--11:30
Evolutionary Integral Operator Equations with Piecewise Continuous Kernels
Sidorov, Denis (Energy Sys. Inst., Russian Acad. of Sci. (SB))
Sidorov, Nikolai (Irkutsk State Univ.)


MS-Th-BC-10-4
11:30--12:00
On Numerical Solution of Weakly Regular Integral Equations
Sidorov, Denis (Energy Sys. Inst., Russian Acad. of Sci. (SB))
Tynda, Aleksandr (Penza State Univ.)
Muftahov, Ildar (Irkutsk State Technical Univ.)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA