Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms

358 Pages·2017·12.96 MB·English

by  Pammy Manchanda

Industrial and Applied Mathematics
Pammy Manchanda
René Lozi
Abul Hasan Siddiqi Editors
Industrial
Mathematics and
Complex Systems
Emerging Mathematical Models,
Methods and Algorithms
Industrial and Applied Mathematics
Editor-in-chief
Abul Hasan Siddiqi, Greater Noida, India
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
computerscience.
More information about this series at http://www.springer.com/series/13577
é
Pammy Manchanda Ren Lozi
(cid:129)
Abul Hasan Siddiqi
Editors
Industrial Mathematics
and Complex Systems
Emerging Mathematical Models, Methods
and Algorithms
123
Editors
Pammy Manchanda AbulHasan Siddiqi
Department ofMathematics Schoolof BasicSciences andResearch
Guru NanakDev University Sharda University
Amritsar, Punjab Greater Noida, Uttar Pradesh
India India
RenéLozi
CNRS, DieudonnéCenterof Mathematics
University Côted’Azur
Nice
France
ISSN 2364-6837 ISSN 2364-6845 (electronic)
Industrial andAppliedMathematics
ISBN978-981-10-3757-3 ISBN978-981-10-3758-0 (eBook)
DOI 10.1007/978-981-10-3758-0
LibraryofCongressControlNumber:2017946022
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Preface
The present volume is based on the selected invited and contributory talks during
theinternationalconferenceheldatShardaUniversity,GreaterNoida,India,during
January 29–31, 2016, on the occasion of the Silver Jubilee of the Indian Society
of Industrial and Applied Mathematics. The conference was inaugurated by
Mr.RajnathSingh, theMinisterfor HomeAffairs, Government ofIndia.Professor
U.P.Singh,formerVice-ChancellorofPurvanchalUniversity,andformerPresident
of the Indian Mathematical Society, chaired the inaugural session. Professor KR.
Sreenivasan, former Director of Abdus Salam ICTP, Trieste, Italy (UNESCO
organization), and currently a senior functionary of New York University, was the
guest of honor who delivered the keynote address. There were 20 invited speakers
and more than 300 participants from different parts of India and abroad. A good
number of participants presented their research work as contributory talks. Abdus
Salam International Centre for Theoretical Physics (ICTP) and International
Mathematical Union (IMU) provided financial support for the participants from
Malaysia, Turkey, and Uzbekistan. Several functionaries of the International
Council for Industrial and Applied Mathematics (ICIAM) and eminent industrial
and applied mathematicians such as Prof. Barbara Lee Keyfitz (immediate past
PresidentofICIAM),Prof.MariaJ.Esteban(President,ICIAM),Prof.AlistairFitt
(Vice-Chancellor, Oxford Brooke University, and former secretary, ICIAM), Prof.
Leon O. Chua (University of Berkeley), Prof. Guenter Leugering (Vice-President,
International Affairs, Friedrich Alexander University, Erlangen-Nurenberg,
Germany), and Prof. Maria Skopina (Euler Institute of Mathematical Sciences,
SaintPetersburgStateUniversity,Russia)participatedanddeliveredlectures.Three
well-known Indian centers of applied and industrial mathematics: Tata Institute of
Fundamental Research—Centre For Applicable Mathematics (TIFR CAM),
Bengaluru; Indian Institute of Science (IISc), Bengaluru; and Indian Institute of
Technology (IIT) Bombay, were represented by Prof. G.D.V. Gowda, Prof.
A. Adimurthi, Prof. Mythly Ramaswamy, Dr. Venkateswaran P. Krishnan, Prof.
G. Rangarajan, and Prof. A.K. Pani.
The Silver Jubilee Committee of ISIAM honored Prof. Gowda, Prof. Pani, and
Prof. Rangarajan for their valuable contributions in the field of industrial and
v
vi Preface
applied mathematics. Professor A. Adimurthi (TIFR CAM, Bengaluru) and Prof.
Mushahid Husain (Vice-Chancellor, Mahatama Jyotiba Phule (MJP) Rohilkhand
University, Bareilly, Uttar Pradesh) were given the Dr. Zakir Husain award insti-
tuted by the Duty Society, Aligarh Muslim University (AMU). Messages by the
then President of India, Shri Pranab Mukherjee, and the Minister for Science and
Technology, Dr. Harsh Vardhan, wished for a successful event.
The invited and contributory talks cover various areas of applied mathematics
andrepresentthelatestadvancesintheinterdisciplinaryfieldssuchasmathematics,
environmentalscience,medicalsciences,oilexplorationandproduction,dynamical
systems, and biological sciences.
In Chap. 1, Barbara Lee Keyfitz surveys the current development in linear and
nonlinearwavesingasdynamics.Shehasdiscussedmanyopenresearchproblems
inthisfield.MariaJ.Estebanpresentsanaccountofnonlinearflowsandoptimality
for functional inequalitiesinChap.2,based onherjoint workwithJeanDolbeault
and Michael Loss. It is mainly related to rigidity results for nonnegative solutions
of the semi-linear elliptic equation on infinite cylinder-like domains or in the
Euclidean space and as a consequence, about optimal symmetry properties for the
optimizers of the Caffarelli–Kohn–Nirenberg inequalities.
Chapter 3 by David Walnut deals with theory and applications of frames. He
discusses some situations in which frames have proven an especially useful tool,
namely noise reduction, robust communications, compressive sensing, and phase-
less recovery. In Chap. 4, challenging problems of industrial applications of
multicore-implementednonlinearmappingsarediscussedbyReneLozi,Jean-Pierre
Lozi, and Oleg Garasym.
InChap.5,GuenterLeugering,FalkM.Hante,AlexanderMartin,LarsSchewe,
andMartinSchmidtdiscussthechallengesinoptimalcontrolproblemsforgasand
fluidflowinnetworksofpipesandcanals.Chapter6isdevotedtotherecentworkof
MajazMoonisjointlywithAhmedulKabir,CarolinaRuiz,andSergioA.Alvarezon
“comparisonofconventionalregressioninthemachinelearningmethodsforstroke
outcomeprediction,”whichwillbepublishedinfullinthenextissueoftheIndian
Journal of Industrial and Applied Mathematics. Professor Moonis in his talk also
discussed the role of imaging in medical sciences, particularly in acute ischemic
stroke. Besides stroke outcome prediction, the chapter is also devoted to the con-
troversyofCATversusMRIinstrokemanagement,whichisanongoinghotdebate.
In Chap. 7, B.I. Golubov and S.S. Volosivets present their new results on
“Fourier transforms of multiplicative convolutions.” Chapter 8 by Maria Skopina
studies tight wavelet frames with matrix dilations, which can be used in many
practical situations. Chapter 9 by Akhtar Khan jointly with M. Cho, B. Jadamba,
R. Kahler, and M. Sama is devoted to the development of a computational
framework for the inverse problem of identifying variable parameters appearing
nonlinearly in a variational problem.
In Chap. 10, M. Brokate and M. Yu Rasulova present the solution of the hier-
archyofquantumkineticsequationswithdeltapotential.InChap.11,YelizKaraca,
Zafer Aslan, and A.H. Siddiqi present the applications and comparison of 1-DWT
transform and partial correlation multiple sclerosis and subgroup diagnostic
Preface vii
classification. In Chap. 12, V. Gowda discusses his recent results in the domain of
finite volumemethod for nonlinear system of hyperbolic conservationlawsarising
inoilreservoirsimulation.InChap.13,MeenakshiandP.Manchandastudycertain
properties of Haar–Vilenkin wavelets for solving differential equations. It may be
mentioned that Haar–Vilenkin wavelet was introduced by them along with A.H.
Siddiqi in 2008. In Chap. 14, Rohit Khokher and Ram Chandra Singh study
footprint-based personal recognition using the dactyloscopy technique.
InChap.15,M.Dilshad,A.H.Siddiqi,RaisAhmad,andFaizanA.Khanpresent
their latest results on a class of variational inequalities. In Chap. 16, Sudip
Chakraborty, Sonia Chowdhury, Joydeep Pal, and Priti Kumar Roy discuss the
impact of vaccination to control HPV dynamics.
In Chap. 17, Chhavi Mangla, Harsh Bhasin, Musheer Ahmad, and Moin Uddin
present their work on the innovative solution of nonlinear equations using genetic
algorithm. Rakesh Kumar and Bhupender Kumar Som describe their results on an
M/M/c/N feedback queuing model with reverse balking and reneging in Chap. 18.
InChap.19,U.M.PirzadaandD.C.Vakaskarstudysolutionoffuzzyheatequation
under fuzzified thermal diffusivity. Saureesh Das and Rashmi Bhardwaj present
their work on chaos in nanofluidic convection of CuO nanofluid in Chap. 20.
BhanumatiPanda,AnumehaDube,andSushilKumarstudythedynamicsofthe
seasonalvariabilityofplanktonandforagefishinChilikaLagoonusingnpzfmodel
in Chap. 21. Chapter 22 by Fahad Al Basir, Sushil Kumar, and Priti Kumar Roy
deals with the effect of glycerol kinetics and mass transfer during enzymatic bio-
diesel production from Jatropha oil.
Chapter23byJahangirChowdhury,SouravRana,SabyasachiBhattacharya,and
Priti Kumar Roy is devoted to the work “role of bio-pest control on theta logistic
populations: a case study on Jatropha curcus cultivation system.” In Chap. 24,
Sudipa Chauhan, Sumit Kaur Bhatia, and Nidhi Purohit present their work on the
dynamics of SIRS model with single time delay.
Allinvitedandcontributorytalkscouldnotfindaplaceinthisvolumeduetoone
reasonortheother.Therefore,asummaryofsomeofthepresentedtalks,compiledby
Pooja, is presented in Chapter 25. Chapter 25 contains a summary of some of the
invited and contributory talks by L.O. Chua, G. Pfander, G. Rangarajan,
A. Adimurthi, G. Fairweather, Venky Krishnan, Samares Pal, L.M. Saha, Vikram,
Pooja,MamtaRani,Abdullah,RenuChughandMandeepKumari,M.K.Ahmadand
Santosh Kumar, Deepti Gupta, Puneet Kaur, Mazibar Rahman, Javed Miya and
M.A. Ansari, A.K. Sahoo and G.S. Mishra, Shelly Arora and Amandeep Kaur,
S.PrabhakaranandL.JonesT.Doss,VivekKumarandBholaIshwar,NooreZahra,
RuchiraAnejaandA.H.Siddiqi,MijanurRehman,NitendraandKhursheed,Nagma
IrfanandA.H.Siddiqi.
Amritsar, India Pammy Manchanda
Nice, France René Lozi
Greater Noida, India Abul Hasan Siddiqi
Acknowledgements
EditorsandorganizersgratefullyacknowledgethefinancialsupportoftheNational
Board for Higher Mathematics (NBHM), Department of Science and Technology,
New Delhi; Abdus Salam International Centre of Theoretical Physics (ICTP),
Trieste, Italy; International Mathematics Union (IMU), Berlin, Germany; Indian
National Science Academy (INSA); and Duty Society, Aligarh Muslim University
(AMU). The organizing committee and editors also express their gratitude to the
Chancellor of Sharda University, Mr. P.K. Gupta, for generous support without
which the conference could not have been organized at this large scale. We also
take this opportunity to thank Dr. Thomas Hempfling of Springer Basel,
Switzerland, who spared his valuable time to grace the inaugural function.
Cooperation of Mr. Shamim Ahmad of Springer India is highly appreciated.
Pammy Manchanda
René Lozi
Abul Hasan Siddiqi
ix
Contents
1 Linear and Nonlinear Waves in Gas Dynamics ... .... ..... .... 1
Barbara Lee Keyfitz
2 Nonlinear Flows and Optimality for Functional
Inequalities: An Extended Abstract. .... .... .... .... ..... .... 21
Maria J. Esteban
3 What is a Frame? Theory and Applications of Frames . ..... .... 27
David Walnut
4 The Challenging Problem of Industrial Applications of
Multicore-Generated Iterates of Nonlinear Mappings .. ..... .... 43
Jean-Pierre Lozi, Oleg Garasym and René Lozi
5 Challenges inOptimalControlProblemsforGasandFluidFlow
in Networks of Pipes and Canals: From Modeling to Industrial
Applications... .... .... ..... .... .... .... .... .... ..... .... 77
Falk M. Hante, Günter Leugering, Alexander Martin, Lars Schewe
and Martin Schmidt
6 Imaging in Acute Ischemic Stroke and Stroke Outcome
Prediction. .... .... .... ..... .... .... .... .... .... ..... .... 123
Majaz Moonis
7 Fourier Transforms of Multiplicative Convolutions .... ..... .... 129
B.I. Golubov and S.S. Volosivets
8 Tight Wavelet Frames with Matrix Dilations . .... .... ..... .... 141
Maria Skopina
9 First-Order and Second-Order Adjoint Methods for the Inverse
Problem of Identifying Non-linear Parameters in PDEs. ..... .... 147
M. Cho, B. Jadamba, R. Kahler, A.A. Khan and M. Sama
xi