Department of Mathematics,Indian Institue of Technology Roorkee


Some Selected Research Papers from the Department Published in Journals :

  1. Arshan Khan,  P. Bera,  Linear instability of concentric annular flow: Effect of Prandtl number and gap between cylinders, Int. J. Heat and Mass Transfer Vol. 152,2020,1-11. (
  2. S. Shakya, S. Kumar, M. Goswami, Deep Learning Algorithm for satellite imaging-based cyclone detection, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 10.1109/JSTARS.2020.2970253, 2020.
  3. F. Musanna, D. Dangwal, S. Kumar, V. Malik, A Chaos Based Image Encryption Algorithm based on Multiresolution Singular Value Decomposition and a Symmetric Attractor, To appear in Imaging Science Journal, 2020.
  4. Sourav Das and A. Swaminathan, A harmonic mean inequality for the polygamma function, Math. Inequalities and Applications, 23 (2020) (1) 71–76.
  5. Barik, Prasanta Kumar; Giri, Ankik Kumar; Global classical solutions to the continuous coagulation equation with collisional breakage. Z. Angew. Math. Phys. 71 (2020), no. 1, Paper No. 38.
  6. Nayak, A. K., Weigand, B., Mixing and heat transfer in micro/nano-channel due to charged corrugated surfaces, Applied Thermal Engineering, 170, (2020), 114979 (Elsevier).
  7. Sumati Mahajan, S. K. Gupta, Development and analysis of a sustainable garbage disposal model for environmental management under uncertainty, Science of total environment, 709 (2020), Article 135037.
  8. Manisha Malik, S. K. Gupta, Goal programming technique for solving fully interval-valued intuitionistic fuzzy multiple objective transportation problems, Soft Computing, DOI :10.1007/s00500-020-04770-6 (2020).
  9.  M. T. Mohan, “Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one”, Published online in Stochastic Processes and their Applications, 2020.
  10.  M. T. Mohan, “Global and exponential attractors for the 3D Kelvin-VoigtBrinkman-Forchheimer equations”, Published online in Discrete and Continuous Dynamical Systems-Series B, 2020.
  11.  S. Arora, S. Singh, J. Dabas and M. T. Mohan, “Approximate controllability of semilinear impulsive functional differential systems with nonlocal conditions”, Published online in IMA Journal of Mathematical Control and Information, 2020.
  12.  M. T. Mohan, “On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations”, Published online in Evolution Equations and Control Theory, 2020.
  13.  M. T. Mohan, “Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: Existence, uniqueness, exponential stability and invariant measures”, Stochastic Analysis and Applications, 38 (1), 1–61, 2020. 

  1. Shakya, S. and Kumar, S., Characterizing and predicting the movement of clouds using fractional-order optical flowIET Image Processing, 13(8):1375 – 1381, 2019
  2. Jagannath Bhanja, Ram Krishna Pandey: Direct and inverse theorems on signed sumsets of integers,   Journal of Number Theory: 196, 340-352, 2019.
  3. Kiran Kumar Behera and A. Swaminathan: Biorthogonal rational functions of R_{II} -type, Proc. Amer. Math. Soc.: 147 (7), 3061--3073, 2019.
  4. M. T. Mohan, K. Sakthivel and S. S. Sritharan, Ergodicity for the 3D stochastic Navier-Stokes equations perturbed by Levy Noise, Mathematische Nachrichten, 292(5), 2019, 1056-1088.
  5. M. T. Mohan and S. S. Sritharan, Stochastic Navier-Stokes equation perturbed by Levy Noise with hereditary viscosity, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22(1), 2019, 1950006(32 pages).
  6. H. N. Chau, C. Kumar, M. Rasonyi and S. Sabanis, On fixed gain recursive estimators with discontinuity in the parameters, ESAIM: Probability & Statistics, 23, 2019, 217-244.
  7. P. Bera, Sarita Pippal, Arshan Khan, A thermal non-equilibrium approach on thermo-solutal natural convection due to lateral flux of heat and solute on enclosure walls: multiple solutions and oscillations, Int. J. Heat and Mass Transfer Vol. 128, 2019, 1322-1343.
  8. Priyanka Sangal and A. Swaminathan, On generalized Ces`aro stable functions, Mathematical Inequalities and Applications, 22(1), 2019, 227-247.
  9. Prasanta Kumar Barik, Ankik Kumar Giri, Philippe Laurençot: Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernel,  Proceedings of Royal Society Edinburgh A: 1-21, 2019.
  10. H. Chandra, P. Bera, A.K. Sharma, Natural convection in a square cavity filled with an anisotropic porous medium due to sinusoidal heat flux on horizontal walls, Numerical Heat Transfer, Part A: Applications 77 (3), 2019, 317-341.
  11. Arshan Khan, P. Bera, M.K. Khandelwal, Bifurcation and instability of annular Poiseuille flow in the presence of stable thermal stratification: Dependence on curvature parameter, Physics of Fluids 31 (10), 2019, 104105-1-20.

  1. Musanna, F. and Kumar, S., A Novel Fractional-order Chaos-based Image Encryption using Fisher-Yates Algorithm and 3-D Cat MapMultimedia Tools and Applications (Springer), 78(11): 14867-14895, 2018
  2. Kiran Kumar Behera and  A. Swaminathan:  Biorthogonality and para-orthogonality of R_I polynomials, Calcolo:  55(4), 41, 2018.
  3. Prasanta Kumar Barik, Ankik Kumar Giri:  A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation, Kinetic and Related Models :11 (5), 1125-1138, 2018 .
  4. Kazuo Yamazakia, Manil T. Mohan:  Well-posedness of Hall-magnetohydrodynamics system forced by Levy noise,  Stochastics and Partial Differential Equations: Analysis and Computations 1-48, 2018.
  5. Khajanchi S. and Banerjee S., Influence of multiple delays in brain tumor and immune system interaction with T11 target structure as a potent stimulator, Mathematical Biosciences 302, 2018, 116-130.
  6. Manil T. Mohan : On the two-dimensional tidal dynamics system: stationary solution and stability,  Applicable Analysis, 1-32, 2018.
  7. Ruchi Ruchi, Behar Baxhaku, Purshottam N. Agrawal: GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle,  Mathematical Methods in the Applied Sciences :41(7), 2673-2683, 2018.
  8. Abhishek K. Sharma, P. Bera: Linear stability of mixed convection in a differentially heated vertical channel filled with high permeable porous-medium, International Journal of Thermal Sciences: 134, 622-638, 2018.
  9. Abhishek K. Sharma, Manish K. Khandelwal, and P. Bera: Finite amplitude analysis of non-isothermal parallel flow in a vertical channel filled with a highly permeable porous medium, Journal of Fluid Mechanics: 857,  469-507, 2018. 
  10. Prasanta Kumar Barik and Ankik Kumar Giri: A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximationKinetic and Related Models, 11 (5), 1125-1138, 2018
  11. Amit Sharma and Maheshanand Bhaintwal, A class of skew-cyclic codes over Z4+uZ4 with derivation, Advances in Mathematics of Communications, 12(4), 2018, 723-739.
  12. Amit Maji, J. Sarkar and S. Sarkar, Toeplitz and Asymptotic Toeplitz operators on H2(Dn), Bulletin des Sciences Mathematiques, 146, 2018, 33-49.
  13. Abhishek K. Sharma, Manish K. Khandelwal, P. Bera, Finite amplitude analysis of non-isothermal parallel flow in a vertical channel filled with high permeable porous medium, J. Fluid Mech.  Vol.857, 2018, 469-507.
  14. Om Prakash Yadav and Ram Jiwari, A finite element approach for analysis and computational modelling of coupled reaction diffusion models, Numerical Methods for Partial Differential Equations, DOI: 10.1002/num.22328, 2018.q
  15. Vivek Kumar and Ankik Kumar Giri: Generalized stochastic Burger's equation with non-Lipschitz diffusion coefficient, Commun. Stoch. Anal., 12(3), 2018, 329-342.
  16. Haque A., Nayak A. K., Soni B., Majhi M., Thermosolutal hydromagnetic convecttion of power law fluids in an enclosure with periodic active zones, International Journal Journal of Heat and Mass Transfer, 127, 2018, 622-642.
  17. Nandal S. and Kumar S., Single Image Fog Removal Algorithm in Spatial Domain using Fractional Order Anisotropic Diffusion, Multimedia Tools and Applications (Springer), 2018.
  18. M. T. Mohan, Global strong solutions of the stochastic three dimensional inviscid simplified Bardina turbulence model, Communications on Stochastic Analysis, 12(3), 2018, 249-270
  19. Kiran Kumar Behera and A. Swaminathan, Orthogonal Polynomials related to g-fractions with missing terms, Comp. Methods Function Theory (Springer), 18 (2018) 193-219.
  20. Nayak,A. K., Banerjee, A. and Weigand, B., Mixing and charge transfer in a nanofluidicsystem due to patterned surface. Applied Mathematical Modelling (Elsevier) 54 (2018),pp. 483-501. I.F. 2.8.
  21. Nayak,A. K., Haque, A. and Weigand, B., Analysis of electroosmotic flow and Joule heating effect in a hydrophobic channel. Chemical Engineering Science (Elsevier)176 (2018), pp. 165-179. I.F. 3.077.
  22. Banerjee, A., Nayak, A.K., Haque, A., Weigand, B., Induced mixing electrokinetics in a charged corrugated nano-channel: towards a controlled ionic transport. Microfluidics and Nanofluidics., 22(10), (2018), 115.
  23. Shah, M., Das, S., Nayak, A. K., Mondal, P., Bordoloi, A. Smart designing of metal-support interface for imperishable dry reforming catalyst, Applied Catalysis A, General 556 (2018) 137–154 (Elsevier).
  24. Gupta, N., Nayak, A. K. (2018) Performance evaluation of coolant air with buoyancy in a parallelogrammic mixed displacement ventilated system, International Journal of Mechanical Sciences, 149, 2018, 38-53.

  1. Sourav Das, Henrik L Pedersen and A. Swaminathan: Pick Functions Related to the Triple Gamma Function, J. Math. Anal. Appl., (Elsevier): 455 (2), 1124-1138, 2017.
  2. Manjari Sidharth, Nurhayat Ispir,   Purshottam N. Agrawal: Blending type approximation by q‐generalized Boolean sum of Durrmeyer type,  Mathematical Methods in the Applied Sciences : 40(11), 3901-3911, 2017.
  3. Ana Maria Acu, Purshottam N. Agrawal, Trapti Neer: Approximation properties of the modified Stancu operators, Numerical Functional Analysis and Optimization :38(3), 279-292, 2017.

  1. Kiran Kumar Behera, A. Sri Ranga, A. Swaminathan: Orthogonal polynomials associated with complementary chain sequences, SIGMA Symmetry Integrability Geom. Methods Appl.: 12, 075,17, 2016.
  2. C.F. Bracciali, A.S. Ranga and A. Swaminathan: Para-orthogonal polynomials on the unit circle satisfying three term recurrence relation, Applied Numerical Mathematics (Elsevier): 109, 19--40, 2016.
  3. Arun Kajlaa, Nurhayat Ispirb, Purshottam N. Agrawal, MeenuGoyal: q− Bernstein–Schurer–Durrmeyer type operators for functions of one and two variables, Applied Mathematics and Computation :275, 372-385, 2016.
  4. Purshottam N. Agrawal, Nurhayat Ispir, Arun Kajla: GBS operators of Lupaş–Durrmeyer type based on Pólya distribution,  Results in Mathematics :69(3-4), 397-418, 2016.
  5. Purshottam N. Agrawal, Nurhayat İspir: Degree of approximation for bivariate Chlodowsky–Szasz–Charlier type operators,  Results in Mathematics :69(3-4), 369-385, 2016.
  6. P. Bera, Manish K. Khandelwal: A thermal non-equilibrium perspective on instability mechanism of non-isothermal Poiseuille flow in a vertical porous-medium channel, International Journal of Thermal Sciences: 105, 159-173, 2016.

  1. Raj Kumar Mistria, Ram Krishna Pandey, Om Prakash: Subsequence sums: Direct and inverse problems, Journal of Number Theory :148, 235-256, 2015.
  2. Purshottam N. Agrawal, Zoltán Finta, A. Sathish Kumar: Bivariate q-Bernstein-Schurer-Kantorovich Operators,  Results in Mathematics: 67(3-4), 365-380, 2015.
  3. Harun Karslia, Purshottam N.Agrawal, Meenu Goyal: General Gamma type operators based on q-integers,  Applied Mathematics and Computation :251, 564-575, 2016.
  4. Arun Kajla, Purshottam N.Agrawal: Szász–Durrmeyer type operators based on Charlier polynomials, Applied Mathematics and Computation :268, 1001-1014, 2015.
  5. Sandip Banerjee, Alexei Tsygvintsev: Stability and bifurcations of equilibria in a delayed Kirschner–Panetta model,  Applied Mathematics Letters :40, 65-71, 2015.
  6. Moumita Bhowmik, P. Bera,  Jai S. Kumar: Non-isothermal Poiseuille flow and its stability in a vertical annulus filled with porous medium, International Journal of Heat and Fluid Flow: 56,  272-283, 2015.
  7. Manish K. Khandelwal, and P. Bera: Weakly nonlinear stability analysis of non-isothermal Poiseuille flow in a vertical channel,  Physics of Fluids : 27(6), 064103, 2015.


Journal publications

Conference Publications
















2013-14 76 19
2014-15 72 16
2015-16 56 09
2016-17 84 11
2017-18 94 18
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Credits : Information Management Group, IIT Roorkee
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