Mathematics

Head of Department

Dr. Bidyasagar Kumbhakar
Ph. D, IIT(ISM)

E-mail:
bkmath@nitm.ac.in

Recent Publications

  • S. Mukherjee, Y. Lee, J.-M. Kim, J. Jang and J.S. Park, Construction of Bivariate Asymmetric Copulas, Communications for Statistical Applications and Methods, In Press, 2018.

  • M. Saha, Nonnegative Matrices and Generalized M-matrices: A Combinatorial Study, LAMBERT Academic Publishing, 973-3-330-34687-1, 1-144, Page Nos -2017

  • M. Saha, Iterative method for linear system with coefficient matrix as an M_∨ -matrix, Springer, 978-3-319-49982-6, 241-251, Page Nos -2016

  • G.S. Seth, R. Sharma, B. Kumbhakar and R. Tripathi, MHD Stagnation Point Flow over Exponentially Stretching Sheet with Exponentially Moving Free-Stream, Viscous Dissipation, Thermal Radiation and Non-Uniform Heat Source/Sink, Diffusion Foundations, 11, Page Nos -182-190, 2017.

  • S.O. Adesanya, H.A. Ogunseye, Srinivas Jangili, Unsteady squeezing flow of a radiative Eyring-Powell fluid channel flow with chemical reactions, International Journal of Thermal Sciences (Elsevier), 125, ., Page Nos -440-447, 2018. https://www.sciencedirect.com/science/article/pii/S1290072917315016

  • T. Subedi, A.M Buhphang, On SF-rings and regular rigs, Kyungpook Mathematical Journal, 53, 3, Page Nos -397-406, 2013.

  • T. Subedi, A Study of Rings Over Which Some Modules are Flat or YJ-injective, Lamber Academic Publishing, 978-3-330-06294-8, Page Nos -2017

  • T. Subedi, Rings Over Which Some Classes of Modules are Flat: A survey, Lambert Academic Publishing, 978-3330059627, Page Nos -2017

  • T. Subedi, A.M. Buhphang, On Left SF-rings and strongly regular rings, Kyungpook Mathematical Journal, 56, 3, Page Nos -861-866, 2016.

  • A. Bhandari, S. Mukherjee, Atomic subspaces for operators, Indian Journal of Pure and Applied Mathematics, Communicated, 2017.

  • S. Dey, E. Raheem, S. Mukherjee, Statistical Properties and Different Methods of Estimation of Transmuted Rayleigh Distribution, Revista Colombiana de Estadística, 40, 1, Page Nos -165-203, 2017. http://dx.doi.org/10.15446/rce.v40n1.56153

  • S. Dey, E. Raheem, S. Mukherjee, H. K. T. Ng, Two parameter exponentiated Gumbel distribution: properties and estimation with flood data example, Journal of Statistics & Management Systems, 20, 2, Page Nos -197-233, 2017. http://dx.doi.org/10.1080/09720510.2016.1228261

  • J. Srinivas, J. V. Ramana Murthy, O. A. Beg, Entropy generation analysis of radiative heat transfer effects on channel flow of two immiscible couple stress fluids, Journal of the Brazilian Society of Mechanical Sciences and Engineering (Springer), 39, 6, Page Nos -2191–2202, 2017. https://link.springer.com/article/10.1007/s40430-017-0752-6

  • S.O. Adesanya, J.A. Falade, J.Srinivas, O.A. Beg, Irreversibility analysis for reactive third-grade fluid flow and heat transfer with convective wall cooling, Alexandria Engineering Journal (Elsevier), 56, 1, Page Nos -153–160, 2017. http://www.sciencedirect.com/science/article/pii/S1110016816302848

  • J.Srinivas, S. O. Adesanya, J. A. Falade, G. Nagaraju, Entropy Generation Analysis for a Radiative Micropolar Fluid Flow Through a Vertical Channel Saturated with Non-Darcian Porous Medium, International Journal of Applied and Computational Mathematics (Springer), 3, 2, Page Nos -1-24, 2017. https://link.springer.com/article/10.1007/s40819-017-0322-8

  • B. Ghosh, D. Pal, T.K. Kar, J.C. Valverde, Biological conservation through marine protected areas in the presence of alternative stable states, Mathematical Biosciences (Elsevier), 286, Page Nos -49-57, 2017.

  • J. Srinivas, G. Nagaraju, O.A. Beg, Mathematical modeling of entropy generation in magnetized micropolar flow between co-rotating cylinders with internal heat generation, Alexandria Engineering Journal (Elsevier), 55, 3, Page Nos -1969–1982, 2016. http://www.sciencedirect.com/science/article/pii/S1110016816301946

  • G. S. Seth, B. Kumbhakar and S. Sarkar, Unsteady MHD Natural Convection Flow with Exponentially Accelerated Free-Stream Past a Vertical Plate in the Presence of Hall Current and Rotation, Rendiconti del Circolo Matematico di Palermo, 2016. DOI: 10.1007/s12215-016-0250-1

  • V. Mehrmann and M. Saha, The Frobenius-Jordan form of nonnegative matrices, Preprint, TU Berlin, Preprint 2012/21, 2012. www3.math.tu-berlin.de/preprints/files/MehS12_ppt.pdf

  • M. Saha and S. Bandopadhyay, On some generalized inverses of M_∨ -matrices, Revised version to be communicated, 2017.

  • M. Saha and S. Bandopadhyay, Combinatorial properties of generalized M- matrices, Electronic Journal of Linear Algebra, 30, Page Nos -550-576, 2015. http://repository.uwyo.edu/cgi/viewcontent.cgi?article=1974&context=ela

  • M. Saha, Generalized Jacobi and Gauss-Seidel method for solving non-square linear systems, communicated, 2017.

  • T. Subedi, A. M. Buhphang, On Weakly regular rings and generalizations of V-rings, International Electronic Journal of algebra, 10, Page Nos -162-173, 2011.

  • T. Subedi, A.M. Buhphang, On strongly regular rings and generalizations of semicommutative rings, International Mathematical Forum, 7, 16, Page Nos -777-790, 2012.

  • T. Subedi, A.M Buhphang, On strongly regular rings and generalizations of v-rings, International Electronic Journal of algebra, 14, Page Nos -10-18, 2013.

  • S. Mukherjee, Composition operators on Paley-Wiener type spaces: Role of composition operators on various signal spaces, Scholars' Press, 978-3639663068, Page Nos -2014

  • P. V. S. N. Murthy,S. Mukherjee, D. Srinivasacharya and P. V. S. S. S. R. Krishna, Combined radiation and mixed convection from a vertical wall with suction / injection in a non-Darcy porous medium, Acta Mechanica, 168, Page Nos -145-156, 2004.

  • P. V. S. N. Murthy, S. Mukherjee, D. Srinivasacharya and P. V. S. S. S. R. Krishna, Mixed convection heat and mass transfer in a doubly stratified non-Darcy porous medium, International Journal of Applied Mechanics and Engineering, 12, 1, Page Nos -109-123, 2007.

  • S. Mukherjee, F. Jafari and J. E. McInroy, On the range of composition operators on spaces of entire functions, ontemporary Mathematics, Amer. Math. Soc., 547, Page Nos -185-195, 2011.

  • S. Mukherjee, F. Jafari and J.-M. Kim, Optimization of Spearman's Rho, REVISTA COLOMBIANA DE ESTADISTICA, 38, 1, Page Nos -209-218, 2015. http://dx.doi.org/10.15446/rce.v38n1.48811

  • T.K. Kar, B. Ghosh, Bifurcations and feedback control of a stage-structure exploited prey-predator system, Int. J. Engineering, Science and Technology, 2, 5, Page Nos -131-141, 2010.

  • T.K. Kar, B. Ghosh, Dynamic analysis of a biological economic model of prey- predator system with alternative prey, Int. J. Ecological Economics & Statistics, 25, Page Nos -12-32, 2012.

  • T.K. Kar, B. Ghosh, Sustainability and optimal control of an exploited prey predator system through provision of alternative food to predator, BioSystems (Elsevier), 109, Page Nos -220-232, 2012.

  • T.K. Kar, B. Ghosh, Sustainability and economic consequences of creating marine protected areas in multispecies multiactivity context, J. Theoretical Biology (Elsevier), 318, Page Nos -81-90, 2013.

  • T.K. Kar, B. Ghosh, Impacts of maximum sustainable yield policy to prey-predator systems, Ecological Modelling (Elsevier), 250, Page Nos -134-142, 2013.

  • B. Ghosh, T.K . Kar, Maximum sustainable yield and species extinction in prey-predator system: Some new results, J. Biological Physics (Springer), 39, Page Nos -453-467, 2013.

  • B. Ghosh, T.K . Kar, Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models, J. Theoretical Biology (Elsevier), 329, Page Nos -6-14, 2013.

  • B. Ghosh, T.K . Kar, Sustainable use of prey species in a prey-predator system: Jointly determined ecological thresholds and economic trade-offs, Ecological Modelling (Elsevier), 272, Page Nos -49–58, 2014.

  • B. Ghosh, T.K . Kar, T. Legovic, Sustainability of exploited ecologically interdependent species, Population Ecology (Springer), 56, Page Nos -527-537, 2014.

  • B. Ghosh, P. Paul, T.K . Kar, Extinction scenarios in exploited system: Combined and selective harvesting approaches, Ecological Complexity (Elsevier), 19, Page Nos -130-139, 2014.

  • B. Ghosh, T.K . Kar, T. Legovic, Relationship between exploitation, oscillation, MSY and extinctionl, Mathematical Biosciences (Elsevier), 256, Page Nos -1-9, 2014.

  • P. Paul, B. Ghosh, T.K . Kar, Impact of species enrichment and fishing mortality in three species food chain models, Communication in Nonlinear Science and Numerical Simulations (Elsevier), 29, Page Nos -208-223, 2015.

  • B. Ghosh, F. Grogrnard, L. Mailleret, Natural enemies deployment in patchy environments for augmentative biological control, Applied Mathematics and Computation (Elsevier), 266, Page Nos -982-999, 2015.

  • J.V. Ramana Murthy J. Srinivas, A J. Chamkha, Analysis of Entropy Generation in an Inclined Channel flow containing Two Immiscible Micropolar Fluids using HAM, International Journal of Numerical Methods for Heat & Fluid Flow (Emerald), 26, 3/4, 2017. http://www.emeraldinsight.com/doi/pdfplus/10.1108/HFF-09-2015-0354

  • B. Kumbhakar and P. Srinivasa Rao, Dissipative Boundary Layer Flow over a Non-linearly Stretching Sheet in the Presence of Magnetic Field and Thermal Radiation, Proc. Natl. Acad. Sci., India, Sect. A: Phy. Sci., 85, 1, Page Nos -117-125, 2015.

  • G. S. Seth, B. Kumbhakar and S. Sarkar, Magnetohydrodynamic Flow over a Permeable Non-linearly Stretching Surface with Effects of Viscous Dissipation and Thermal Radiation, J. Nature Sci. Sustainable Tech., 8, 2, Page Nos -273-292, 2014.

  • G. S. Seth, B. Kumbhakar and S. Sarkar, Unsteady Hydromagnetic Natural Convection Flow with Heat and Mass Transfer of a Thermally Radiating and Chemically Reactive Fluid Past a Vertical Plate with Newtonian Heating and Time Dependent Free-Stream, Int. J. Heat Tech., 32, 1-2, Page Nos -87-94, 2014.

  • G.S.Seth, B. Kumbhakar and S. Sarkar, Soret and Hall Effects on Unsteady MHD Free Convection Flow of Radiating and Chemically Reactive Fluid Past a Moving Vertical Plate with Ramped Temperature in Rotating System, Int. J. Eng. Sci. Tech., 7, 2, Page Nos -94-108, 2015.

  • G. S. Seth, B. Kumbhakar and R. Sharma, Unsteady Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid within a Rotating Vertical Channel in Porous Medium with Hall Effects, J. Appl. Fluid Mech., 8, 4, Page Nos -767-779, 2015.

  • G. S. Seth, B. Kumbhakar and R. Sharma, Unsteady MHD free convection flow with Hall effect of a radiating and heat absorbing fluid past a moving vertical plate with variable ramped temperature, J. Egypt. Math. Soc., 24, 3, Page Nos -471-478, 2016.

  • G. S. Seth, R. Sharma and B. Kumbhakar, Effects of Hall Current on Unsteady MHD Convective Couette Flow of Heat Absorbing Fluid due to Accelerated Movement of One of the Plates of the Channel in a Porous Medium, J. Porous Media, 19, 1, Page Nos -13-30, 2016.

  • G. S. Seth, R. Sharma and B. Kumbhakar, Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium past a Moving Vertical Plate with Arbitrary Ramped Temperature, J. Appl. Fluid Mech., 9, 1, Page Nos -103-117, 2016.

  • G. S. Seth, R. Sharma, B. Kumbhakar and A. J. Chamkha, Hydromagnetic Flow of Heat Absorbing and Radiating Fluid over Exponentially Stretching Sheet with Partial Slip and Viscous and Joule Dissipation, Engineering Computations, 33, 3, Page Nos -907-925, 2016.

  • J. V. Ramana Murthy, J. Srinivas, Thermodynamic Second Law Analysis of Radiative Heat Transfer in Two Immiscible Micropolar Fluids in a Channel, Proceedings of the 22nd National and 11th International ISHMT-ASME Heat and Mass Transfer Conference, 27-31 December 2013, IIT Kharagpur, India, Page Nos -Article ID: HMTC1300113, 2013.

  • J. V. Ramana Murthy, J. Srinivas, K. S. Sai, Second Law Analysis of Flow of Two Immiscible Couple Stress Fluids in Four Zones, Proceedings of the 10th International conference on Heat Transfer, Fluid Mechanics and Thermodynamics, 14-16 July 2014, Orlando, Florida, USA, Page Nos -1034-1043, 2014. http://repository.up.ac.za/handle/2263/44748

  • J. V. Ramana Murthy, J. Srinivas, Thermodynamic Analysis for an Inclined Channel Containing Two Immiscible Couple Stress Fluids Using HAM, Proceedings of the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, 14-16 July 2014, Orlando, Florida, USA, Page Nos -2068-2077, 2014. http://repository.up.ac.za/handle/2263/44733

  • G. Nagaraju, J. Srinivas, J.V. Ramana Murthy, A.M. Rashad, Entropy Generation Analysis of the MHD Flow of Couple Stress Fluid between Two Concentric Rotating Cylinders with Porous Lining, Heat Transfer-Asian Research (Wiley), 46, 4, Page Nos -316–330, 2017. http://onlinelibrary.wiley.com/doi/10.1002/htj.21214/abstract

  • J. V. Ramana Murthy, J. Srinivas, Second Law Analysis for Poiseuille Flow of Immiscible Micropolar Fluids in a Channel, International Journal of Heat and Mass Transfer (Elsevier), 65, Page Nos -254-264, 2013. http://www.sciencedirect.com/science/article/pii/S0017931013004389

  • J. V. Ramana Murthy, J. Srinivas, K. S. Sai, Flow of Immiscible Micropolar Fluids Between Two Porous Beds, Journal of Porous Media (Begell House), 17, 4, Page Nos -287-300, 2014. http://www.dl.begellhouse.com/journals/49dcde6d4c0809db,282d5fcf3e7c776b,28fcfc7a475141e6.html

  • J. Srinivas, J. V. Ramana Murthy, Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids between Two Parallel Plates, Frontiers in Heat and Mass Transfer, 6, 4, Page Nos -1-11, 2015. http://m.thermalfluidscentral.org/journals/index.php/Heat_Mass_Transfer/article/view/411

  • J. V. Ramana Murthy, J. Srinivas, First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids between Two Parallel Plates, Heat Transfer-Asian Research (Wiley), 44, 5, Page Nos -468-487, 2015. http://onlinelibrary.wiley.com/doi/10.1002/htj.21131/abstract

  • J. Srinivas, J. V. Ramana Murthy, K. S. Sai, Entropy Generation Analysis of the Flow of Two Immiscible Couple Stress Fluids between Two Porous Beds, Computational Thermal Sciences (Begell House), 7, 2, Page Nos -123-137, 2015. http://www.dl.begellhouse.com/journals/648192910890cd0e,07813a144522093c,677998ed04c6f692.html

  • J. Srinivas, J. V. Ramana Murthy, Second Law Analysis for the Flow of Two Immiscible Micropolar Fluids between Two Porous Beds, Journal of Engineering Thermophysics (Springer), 25, 1, Page Nos -126-142, 2016. http://link.springer.com/article/10.1134%2FS1810232816010124