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Prof. Triveni Prasad Shukla

Assistant Professor Gr-I

Department of Mathematics

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Information

Room No: MA 815, First Floor, Annexure Building +91-870-246 tpshukla@nitw.ac.in Bio Sketch

    Key Notes

    • Journal(s): 7
    • Book Chapter(s): 1
    • PhD: Current - 1

    8

    PUBLICATIONS

    1

    DOCTORAL STUDENT

    Research Areas

    Gasdynamics
    Hall-magnetohydrodynamic Flows
    Hyperbolic Partial Differential Equations
    Nonclassical Shock Waves
    EDUCATION QUALIFICATION
    Degree Institute Year
    Doctor of Philosophy IIT Bombay 2017
    COURSES HANDLED
    Course L-T-P Credit Degree Level
    Advanced Linear Algebra(MAI404) 3-0-0 3 UG
    Advanced Linear Algebra(MA16021) 3-0-0 3 UG, PG
    Fourier Series and Partial Differential Equations(MA1201) 3-0-0 3 UG
    Integral and Vector Calculus, Laplace Transforms(MA1162) 3-0-0 3 UG
    Integral Calculus and Laplace Transforms(MA184) 3-0-0 3 UG
    Modern Algebra(MAI201) 3-0-0 3 UG
    Complex Variables and Partial Differential Equations(MA232) 3-0-0 3 UG
    Algebraic Structures(MAI403) 3-0-0 3 UG
    Modern Algebra(MAB201) 3-1-0 4 UG
    Algebraic Structures(MA112) 3-0-0 3 UG
    Algebra(MA16022) 3-0-0 3 UG, PG
    Matrix Theory, Calculus and Ordinary Differential Equations(MA134) 3-0-0 3 UG
    Functional Analysis(MA5103) 3-0-0 3 PG
    Fourier Series, Matrices and Differential Equations(MA182) 3-0-0 3 UG
    Linear Algebra, Calculus and Differential Equations(MA137) 3-0-0 3 UG
    Advanced Modern Algebra(MA4103) 3-0-0 3 PG
    Partial Differential Equations(MA4152) 3-0-0 3 PG
    Ordinary Differential Equations(MAI151) 3-0-0 3 UG
    Differential Equations and Transforms(MA181) 3-0-0 3 UG
    RESEARCH IDs
    ORCID
    ORC ID
    PUBLICATIONS
    Journal(s)
    Dynamics of Shock Waves in Non-Ideal Fluids Exhibiting Quartic Nonlinearity, By N. Neelam and Triveni P. Shukla, Wiley, Studies in Applied Mathematics, vol.155, pp., 2025
    Propagation of linear and weakly nonlinear waves in Hall-magnetohydrodynamic flows, By Triveni Prasad Shukla and V. D. Sharma, Elsevier, Int. J. of Non-Linear Mech., vol.167, pp.104883, 2024
    Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids, By Neelam Yadav and Triveni P. Shukla, AIP Publishing, Physics of Fluids, vol.36, pp.086135, 2024
    Undercompressive shock waves in Hall-magnetohydrodynamics, By Triveni P. Shukla and V. D. Sharma, Wiley, Math. Methods Appl. Sci., vol.41, pp.4360 - 4375, 2018
    Evolution equation for wave amplitude exhibiting quartic nonlinearity, By Triveni P. Shukla and V. D. Sharma, Wiley, Math. Methods Appl. Sci., vol.41, pp.9422 - 9440, 2018
    Evolution of planar and cylindrically symmetric magneto-acoustic waves in a van der Waals fluid, By Triveni P. Shukla, G. Madhumita, and V. D. Sharma, Elsevier, Int. J. Non-Linear Mech., vol.91, pp.58–68, 2017
    Weakly nonlinear waves in non-ideal fluids, By Triveni P. Shukla and V. D. Sharma, Wiley, Stud. Appl. Math., vol.138(3), pp.247 - 268 , 2017
    Book Chapter(s)
    Dynamics of Weakly Nonlinear Waves Propagating in the Region with Mixed Nonlinearity By Triveni P. Shukla in River, Sediment and Hydrological Extremes: Causes, Impacts and Management, Springer, Book, 2023
    PROJECT / CONSULTANCY
    RESEARCH FELLOWS / PhD STUDENTS
    Current PhD Students
    Neelam
    Area of Research: Partial Differential Equations
    CONFERENCE / WORKSHOP / SYMPOSIUM / SHORT TERM COURSE / FACULTY DEVELOPMENT PROGRAMME
    AWARDS AND ACCOLADES
    2023
    1. Life Member, Indian Mathematical Society
    2. Received Certificate of Appreciation for teaching contribution, NIT Warangal, AY 2022-23
    2019
    1. Received NBHM Post-doctoral Fellowship
    2. Received Prabhulal Bhatnagar Memorial Prize from IIT Bombay (Based on PhD work)
    2010
    1. Qualified UGC-JRF in Mathematical Sciences
    2. Qualified GATE-2010 (AIR-17)
    2006
    Received Merit-cum-Means Scholarship, MSc, IIT Roorkee
    ADDITIONAL RESPONSIBILITIES
    •  Member, Departmental Research Committee (Continuing from September, 2025)
    •  Member, UG-DAC (Continuing from September, 2025)
    •  Faculty Advisor, MSc (Applied Mathematics), 1st year (Continuing from July, 2025)
    •  Faculty Advisor, Integrated M.Sc. 1st Year (July, 2024 - June, 2025)
    •  Faculty Coordinator, CCPD (July, 2024 - June, 2025)
    •  Member, PG-DAC (Continuing from July, 2023)
    •  Professor-in-Charge, Mathematical Society (Continuing from July, 2023)
    •  Warden, Raman Hall of Residence (July, 2023 - June, 2024)
    •  Member, UG-DAC (March, 2022 - June, 2023)
     Last updated on January 1, 2026