[Turkmath:5725] (no subject)

Tue Aug 16 06:41:46 UTC 2022

Dear Colleagues!

*You are cordially invited to the Seminar “Analysis and Applied
Mathematics” onDate: Tuesday, August 16, 2022*
  Time: 11.00-12.00 (Istanbul) = 10.00-11.00 (Ghent) = 14.00-15.00 (Almaty)
Place: Meeting room of Faculty of Engineering and Natural Sciences BAU,
D-415
and
 Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
*Speaker:*

*Prof. Dr. Yury ShestopalovUniversity of Gävle, Gävle, SwedenTitle: On a
Mathematical Theory of Invisibility and Resonance Scattering Abstract:* In
the first part of the study we consider, following [1,2] and [3] eigenvalue
problems for dielectric cylindrical scatterers of arbitrary cross section
with generalized con-ditions at infinity. The problem statement enables one
to take into account complex eigen-values [4] . The existence of resonance
(scattering) frequencies associated with these eigen-values is proved using
the approach set forth in [5,6]. The technique involves determination of
characteristic numbers (CNs) of the Fredholm operator-valued functions of
the problems constructed using Green's potentials [7,8]. Separating
principal parts in the form of mero-morphic operator pencils, we apply the
operator generalization of Rouche’s theorem [9,10] to verify the occurrence
of CNs in close proximities of the singularities of the pole pencils. The
results are illustrated in detail using the case of a dielectric cylinder
of circular cross section.
In the second part of the study we develop a technique that allows one to
obtain explicitly the parameter sets for canonical structures possessing
circular or planar symmetry at which resonance scattering or partial
invisibility are observed. The approach employs analysis of the solution
expansion coefficients considered as functions of the problem parameters.
*References:*
[1] V. Shestopalov & Y. Shestopalov, Spectral Theory and Excitation of Open
Structures, IEE Publ., London, 1995.
[2] Y. Shestopalov, Resonance Frequencies of Arbitrarily Shaped Dielectric
Cylinders, Applicable Analysis, Open access, October 2021. DOI:
10.1080/00036811.2021.1992397
[3] E. Sanchez-Palencia, Inhomogeneous Media and Vibration Theory, Lecture
Notes in Physics 127, NY, Springer, 1980.
[4] Y. Shestopalov, Complex waves in a dielectric waveguide, Wave Motion,
Vol. 82, 2018, pp. 16-19.
[5] Y. Shestopalov, Trigonometric and Cylindrical Polynomials and Their
Applications in Electromagnetics, Applicable Analysis, February 2019, Open
access, Vol. 99, no 16, pp. 2807-2822, DOI: 10.1080/00036811.2019.1584290
[6] Y. Shestopalov, Cloaking: analytical theory for benchmark structures,
Journal of Elec-tromagnetic Waves and Applications, 2021, Vol. 35, No. 4,
pp. 485-510 https://doi.org/10.1080/09205071.2020.1846629
[7] Y. Shestopalov, On the theory of cylindrical resonators, Math. Meths.
Appl. Sci., Vol. 14, 1991, pp. 335-375.
[8] Y. Shestopalov, Y. Smirnov, and E. Chernokozhin, Logarithmic Integral
Equations in Electromagnetics, VSP, Utrecht, 2000.
[9] I. Gohberg & E. N. Sigal, The operator generalization of a theorem on
logarithmic res-idue and the Rouche theorem, Mat. Sb., Vol. 84, 1971, pp.
607-629.
[10] S. Steinberg, Meromorphic families of compact operators, Arch.
Rational Mech. Anal., Vol. 31, 1968, pp. 372-379.
*Biography:*
Yury Shestopalov – is now professor of mathematics at the University of
Gävle, Sweden. He completed a complete university career from teaching
assistant to professor and department head at Moscow State University
(MSU), Karlstad University and University of Gävle (since 2013). Y.
Shestopalov has been continuously teaching (since 1977) all univer-sity
courses in mathematics. In 1992-1993 he created and then was head of the
department of computer science at the MSU Kolmogorov Advanced Education and
Science Centre (AESC)—The Kolmogorov School. Y. Shestopalov organized the
teaching of computer sci-ence, programming, and foundations of applied
mathematics, worked out programs and basic courses, textbooks, compendiums,
and course materials. As a member of the Board of Advisors and then of the
Board of Directors Y. Shestopalov initiated the Faculty of Higher
Pedagogical Education at MSU. His main scientific results and contributions
are within the following areas: spectral theory of operators and its
application in mathematical meth-ods for electromagnetics; methods of
solution to inverse problems and problems with uncertain data; wave
propagation in nonlinear media and nonlinear operator equations; in-tegral
equations, partial differential equations; numerical methods, optimization,
applied computer codes, software and program packages. Among his recent
achievements are complete description of the spectrum of waves in a broad
class of inhomogeneously filled waveguides and mathematical theory of
inverse waveguide problems. Y. Shestopalov has authored and co-authored
seven books, also published in the USA and UK, more than 90 ar-ticles in
peer-reviewed journals and in total more than 200 scientific works. He
supervised several PhD works; among his disciples there are active
professors in mathematics, applied
mathematics and electrical engineering.
Y. Shestopalov performs international cooperation as visiting professor and
co heads in-ternational research projects. Since 1977 Y. Shestopalov
organized more than 20 and par-ticipated in more than 60 international
conferences and symposia; he is Vice-Chairman of Progress in
Electromagnetics Research Symposium and Programme Committee member of
several major URSI conferences.
Communicate with Prof. A. Ashyralyev
*D-415*
*tel. 05395876484*
Kind regards,
*****************************
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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