Mathematical Modelling, Optimization, Analytic and Numerical Solutions (Industrial and Applied Mathematics)

431 Pages·2020·10.075 MB·English

by  Pammy Manchanda (editor), René Pierre Lozi (editor), Abul Hasan Siddiqi (editor)

Industrial and Applied Mathematics
Pammy Manchanda
René Pierre Lozi
Abul Hasan Siddiqi   Editors
Mathematical
Modelling,
Optimization,
Analytic and
Numerical Solutions
Industrial and Applied Mathematics
Editors-in-Chief
Abul Hasan Siddiqi, Sharda University, Greater Noida, India
G. D. Veerappa Gowda, Department of Mathematics, TIFR Centre For Applicable
Mathematics, Bengaluru, Karnataka, India
Fahima Nekka, Faculté de pharmacie, Universite de Montreal, Montréal, QC,
Canada
Editorial Board
ZaferAslan,DepartmentofComputer,İstanbulAydınUniversity,İstanbul,Turkey
Martin Brokate, Technical University, Munich, Germany
N. K. Gupta, Indian Institute of Technology Delhi, New Delhi, India
Akhtar A. Khan, Rochester Institute of Technology, Rochester, USA
Taufiquar Khan, School of Math and Statistical Sciences, Clemson University,
Clemson, SC, USA
René Pierre Lozi, Department of Mathematics, University Côte d’Azur, Nice,
France
Pammy Manchanda, Guru Nanak Dev University, Amritsar, India
Zuhair Nashed, University of Central Florida, Orlando, USA
Govindan Rangarajan, Indian Institute of Science, Bengaluru, India
Katepalli R. Sreenivasan, NYU Tandon School of Engineering, Brooklyn, USA
Noore Zahra, Computer Science Department, Princess Nourah bint Abdulrahman
University, Riyadh, Saudi Arabia
TheIndustrialandAppliedMathematicsseriespublisheshigh-qualityresearch-level
monographs, lecture notes and contributed volumes focusing on areas where
mathematics is used in a fundamental way, such as industrial mathematics,
bio-mathematics, financial mathematics, applied statistics, operations research and
computer science.
More information about this series at http://www.springer.com/series/13577
é
Pammy Manchanda Ren Pierre Lozi
(cid:129) (cid:129)
Abul Hasan Siddiqi
Editors
Mathematical Modelling,
Optimization, Analytic
and Numerical Solutions
123
Editors
Pammy Manchanda RenéPierre Lozi
Department ofMathematics Laboratory Math,J.A.Dieudonné
Guru NanakDev University University Côted’Azur
Amritsar, Punjab,India Nice, France
AbulHasan Siddiqi
Schoolof BasicSciences andResearch
Sharda University
Greater Noida, Uttar Pradesh, India
ISSN 2364-6837 ISSN 2364-6845 (electronic)
Industrial andAppliedMathematics
ISBN978-981-15-0927-8 ISBN978-981-15-0928-5 (eBook)
https://doi.org/10.1007/978-981-15-0928-5
©SpringerNatureSingaporePteLtd.2020
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Dedicated to
Professor Abul Hasan Siddiqi (1943–2020)
Preface
The edited volume is based on 12 invited talks, presidential address, and selected
nine peer-reviewed papers during an international conference at GNDU, Amritsar,
India, in February 2018. The volume covers a variety of themes of industrial and
applied mathematics. The main attraction of the conference was two symposiums,
one organized by Prof. Guenter Leugering, Vice President, FAU, Erlangen–
Nuremberg,Germany, andtheotherorganizedbyProf. GDVGowda, Dean,TIFR
CenterofApplicableMathematics,Bangalore,inwhichspeakerswerefromreputed
institutions of Germany and India. All talks were devoted to the role of partial
differential equations in understanding the real-world problems. Leugering and his
groupfocusedonthesystemofhyperbolicequationsonnetworkssuchasnonlinear
elastic strings and beams, potentially being coupled via masses and viscoelastic
springs,ornetworksofpipesconveyingfluidsorgas.Chapter1containsaresume
of work of Prof. A. H. Siddiqi and his co-workers. Professor Pavel Exner, Current
President of European Mathematical Society, has discussed the effect of an abrupt
spectral change for some classes of Schrodinger operators depending on the value
of the coupling constant, from below bounded and partly or fully discrete, to the
continuousone covering thewhole real axis in Chap. 2. InChap. 3,Prof.Hans G.
Feichtinger and Mads S. Jakobsen have presented an interesting account of dis-
tributiontheorybyRiemannintegrals.Inthischapter,theyhaveoutlinedasyllabus
for a course that can be given to engineers looking for an understandable mathe-
matical description of the foundation of distribution theory and the necessary
functionalanalyticmethods.GuenterLeugeringhaspresentedinChap.4thestudy
of partial differential equations on metric graphs: a survey of results on optimiza-
tion, control and stabilizability with special focus on shape and topological sensi-
tivity problems. His research collaborators Martin Gugat and Michael Herty have
presentedanewmodelfortransientflowingastransportationnetworksinChap.6.
InChap.5,D.Provitolo,RLoziandE.Trichavepresentedtheirstudyregardinga
new model of weighted human behavior in the context of urban terrorist attacks.
Itmayberemarkedthatinthecontextofdisasters,andinordertobetterprotectthe
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viii Preface
population,oneofthemajorchallengestodayistobetterunderstandandanticipate
both individual and collective human behavior, and the dynamics of the displace-
mentsassociatedwiththesebehaviors.InChap.7,FalkM.Hantehaspresentedhis
researchon“Mixed-Integer OptimalControlfor PDES:RelaxationviaDifferential
Inclusions and Applications to Gas Network Optimization.” In Chap. 8,
Prof. Mukhayo Rasulova haspresented herstudies“Application ofSolution ofthe
Quantum Kinetic Equations for Information Technology and Renewable Energy
Problem.” Professor Taufiquar Rahman Khan, Clemson University, USA, has
introduced the general idea of inverse problems particularly with applications to
imaging in Chap. 9. Professor K. Sreenadh, IIT Delhi, and T. Mukherjee, TIFR
Bangalore, have written a survey on critical growth elliptic problems with
Choquard-type nonlinearity in Chap. 10. Professor Ratish Kumar, IIT Kanpur,
along with his research collaborator Gopal Priyadashi has presented work on
Wavelet Galerkin Methods for Higher-Order Partial Differential Equations in
Chap. 11. In Chap. 12, Samares Pal and Joydeb Bhattacharyya have studied resi-
lience and dynamics of coral reefs impacted by chemically rich seaweeds and
unsustainablefishing.Interestingmathematicalmodelsarediscussed.Chapter13—
Multigrid Methods for the Simulations of Surfactant Spreading on a Thin Liquid
Film—bySatyanandaPandaandAleksanderGrmcontainsamultigridapproachfor
thesimulationsofsurfactantspreadingonathinliquidfilm.Chapter14byEenezer
Bonyah, Fahad Al Basir and Santanu Ray is devoted to Hopf bifurcation in a
mathematicalmodeloftuberculosiswithdelay.InChap.15,AmitKumarRoyand
Priti Kumar Roy have presented their studies related to Treatment of Psoriasis
by Interleukin-10 through Impulsive Control Strategy. A. Akhilandeeswari,
K. Balachandran and N. Annapoorani have investigated the existence of solution
of the fractional partial differential equations of diffusion type with integral kernel
in Chap. 16. In Chap. 17 Mathematical Study on Human Cells Interaction
Dynamics for HIV-TV Co-infection by Suman Dolai, Amit Kumar Roy and Priti
Kumar Roy is presented. In Chap. 18, P. Suresh Kumar presents his work on
Relative Controllability of Nonlinear Fractional Damped Delay Systems with
MultipleDelaysinControl.Chapter19byRohitKhokherandRamChandraSingh
is devoted to A Graphical User Interface-Based Fingerprint Recognition. In
Chap. 20, P. Umamaheswari, K. Balachandran and N. Annapoorani have investi-
gated the existence and stability results of stochastic fractional delay differential
equations with Gaussian noise. Chapter 21 by Kausika Chellamuthu deals with
“AsymptoticStabilityofImplicitFractionalVolterraIntegrodifferentialEquations.”
Few invited and contributory talks of the international conference at GNDU by
Prof.StephaneJaffard,Prof.M.ShahJahan,Prof.G.Fairweather,Prof.A.K.Pani,
Prof.S.DharamRaja,Prof.RashmiBhardwajandProf.T.D.Narangcouldnotbe
included in this volume due to unavoidable reasons. We thank all of them for
sparing time to deliver lectures and for encouraging young researchers.
Preface ix
We take this opportunity to thank Ms. Pooja and Ms. Mamta, UGC Research
Fellows at Guru Nanak Dev University, Amritsar, for their contribution toward
compiling the manuscript.
Amritsar, India Pammy Manchanda
Nice, France René Pierre Lozi
Greater Noida, India Abul Hasan Siddiqi
Acknowledgements
Editors and organizers gratefully acknowledge the financial support for the
Department of Science and Technology, New Delhi: ICIAM and Duty Society,
Aligarh Muslim University (AMU). The Organizing Committee and editors also
expresstheirgratitudetothevice-chancellorandotherfunctionariesofGuruNanak
DevUniversity,Amritsar,forgeneroussupportwithoutwhichtheconferencecould
not have been organized at this large scale. We also take this opportunity to thank
Mr. Shamim Ahmad of Springer India for his valuable support.
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