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Prof. E Satyanarayana

Associate Professor

Department of Mathematics

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Information

Room No: MA 205 +91-870-2462819 satya@nitw.ac.in https://wsdc.nitw.ac.in/facultynew/facultyprofile/id/16942 Bio Sketch

    Key Notes

    • Journal(s): 12
    • PhD: Current - 2  Awarded - 4

    12

    PUBLICATIONS

    6

    DOCTORAL STUDENTS

    6

    PROJECTS

    Research Areas

    Parabolic PDEs
    EDUCATION QUALIFICATION
    Degree Institute Year
    Doctor of Philosophy Indian Institute of Technology Madras, Chennai 2011
    COURSES HANDLED
    Course L-T-P Credit Degree Level
    Fourier Series, Matrices and Differential Equations(MA182) 3-0-0 3 UG
    Fourier Series, Partial Differential Equations and Complex Variables(MA1261) 3-0-0 3 UG
    Functional Analysis(MAI502) 3-0-0 3 UG
    Complex Variables and Partial Differential Equations(MA232) 3-0-0 3 UG
    Language 1 (Sanskrit)(HS3101) 3-1-0 4 UG
    Evolution of Indian Education(ED3105) 3-1-0 4 UG
    Art Education (Performing and Visual)(ED3103) 1-0-2 2 UG
    Understanding India (Indian Ethos and Knowledge Systems)(ED3101) 2-0-0 2 UG
    Functional Analysis(MA17003) 3-0-0 3 UG, PG
    Teacher and Society(ED3104) 2-0-0 2 UG
    Partial Differential Equations(MA16004) 3-0-0 3 UG, PG
    Partial Differential Equations(MAI452) 3-0-0 3 UG
    Understanding India (Indian Ethos and Knowledge Systems)(ED3102) 2-0-0 2 UG
    Linear Algebra, Calculus and Ordinary Differential Equations(MA1161) 3-0-0 3 UG
    Fourier Series and Partial Differential Equations(MA212) 3-0-0 3 UG
    Matrix Theory and Calculus(MA131) 3-0-0 3 UG
    Vector Calculus(MAI261) 3-0-0 3 UG
    Ordinary Differential Equations(MA1104) 3-0-0 3 UG
    Integral Calculus and Laplace Transforms(MA184) 3-0-0 3 UG
    Complex Variables and Special Functions(MA234) 3-0-0 3 UG
    Functional Analysis(MA5103) 3-0-0 3 PG
    Transformation Techniques and Statistics(MA233) 3-0-0 3 UG
    Measure and Integration(MA5151) 3-0-0 3 PG
    Calculus and Laplace Transforms(MA132) 3-0-0 3 UG
    Differential Equations and Transforms(MA181) 3-0-0 3 UG
    RESEARCH IDs
    ORCID
    ORC ID
    PUBLICATIONS
    Journal(s)
    Large time behavior for the heat equation with discontinuous source term, By Venkatramana P B and S. Engu, Springer , Indian J. Pure Appl. Math., vol.57, pp., 2026
    On solutions to the cauchy problem for a class of forced burgers equations, By Smriti Tiwari, Manas R Sahoo and S Engu, Oxford University Press, Quarterly Journal of Mechanics and Applied Mathematics, vol.77 (No.3), pp.1-27, 2024
    Asymptotics for viscous Burgers equation under impulsive forcing, By Kanchan Dwivedi, Venkatramana P. B. , Manas R. Sahoo and S Engu, Amer. Inst. Phys., Journal of Mathematical Physics, vol.65, pp.081513, 2024
    A Remark on Large Time Asymtotics for Solutions of a Nonhomogeneous Viscous Burgers Equation, By M R Sahoo, Smriti Tiwari and S Engu, Springer, Acta Mathematica Scientia. Series B. English Edition, vol.43, pp.1323–1332, 2023
    Generalized solutions of an inhomogeneous inviscid Burgers equation., By M Manasa , P B Venkatramana and S Engu, Springer , Indian Journal of Pure and Applied Mathematics, vol.53, pp. 188–2, 2022
    Solutions to viscous Burgers equations with time dependent source term., By M R Sahoo, P B Venkatramana and S Engu, Texas State University, San Marcos, Electronic Journal of Differential Equations, vol.2021, pp.116, 2021
    On a complex sequence of vanishing moments., By M R Sahoo, Abhrojyoti Sen and S Engu, American Mathematical Society+ Ramanujan Mathematical Society, Journal of the Ramanujan Mathematical Society, vol.34, pp.185, 2019
    Asymptotic behavior of solutions to the diffusion equation, By Mohd Ahmed, M R Sahoo and S. Engu, Springer , Indian J. Pure Appl. Math., vol.49, pp. 601–6, 2018
    Higher order asymptotic for Burgers equation and adhesion model. , By M R Sahoo, M Manasa and S Engu, American Institute of Mathematical Sciences, Communications on Pure and Applied Analysis, vol.16 , pp. 253–2, 2017
    Large time asymptotics with error estimates to solutions of a forced Burgers equation., By Mohd Ahmed , V Murugan and S Engu, Wiley-Blackwell, Studies in Applied Mathematics, vol.138, pp. 185–2, 2017
    Large-time asymptotics for solutions of a generalized Burgers equation with variable viscosity. , By Ch Srinivasa Rao and S Engu, Wiley-Blackwell, Studies in Applied Mathematics, vol.127, pp.1–23., 2011
    Asymptotic N-wave solutions of the nonplanar Burgers equation., By Ch Srinivasa Rao and S Engu, Wiley-Blackwell, Studies in Applied Mathematics, vol.121, pp. 199–2, 2008
    PROJECT / CONSULTANCY
    Global Existence and Asymptotic Expansions to the Solutions of Dispersive-Dissipative Equations
    Role: Principal Investigator
    Type: Research
    Sponsor: ANRF-Advanced Research Grant
    Project Cost (INR): 2400000
    Date of Commencement: 30-12-2025  
    Duration: 36 Months
    Status: Ongoing
    Decay Estimates for the solutions to dissipative nonlinear equations
    Role: Principal Investigator
    Type: Research
    Sponsor: Department of Atomic Energy, Government of India
    Project Cost (INR): 400000
    Date of Commencement: 27-12-2025  
    Duration: 36 Months
    Status: Ongoing
    On the solutions of inhomogeneous Burgers equations
    Role: Principal Investigator
    Type: Research
    Sponsor: Council of Scientific and Industrial Research-EMR Scheme
    Project Cost (INR): 2247583
    Date of Commencement: 31-08-2019   Date of Completion: 31-08-2022
    Duration: 36 Months
    Status: Completed
    A study on somenonlinear partialdifferential equations
    Role: Principal Investigator
    Type: Research
    Sponsor: NITW-RSM
    Project Cost (INR): 500000
    Date of Commencement: 31-08-2018   Date of Completion: 30-08-2020
    Duration: 24 Months
    Status: Completed
    Solutions for viscous and inviscid Burgers equation
    Role: Principal Investigator
    Type: Research
    Sponsor: Science and Engineering Research Board- EMR Scheme
    Project Cost (INR): 1477190
    Date of Commencement: 21-08-2017   Date of Completion: 20-08-2020
    Duration: 36 Months
    Status: Completed
    On the solutions of convection-diffusion equations
    Role: Principal Investigator
    Type: Research
    Sponsor: Department of Atomic Energy, Government of India.
    Project Cost (INR): 1400000
    Date of Commencement: 12-05-2015   Date of Completion: 11-05-2018
    Duration: 36 Months
    Status: Completed
    RESEARCH FELLOWS / PhD STUDENTS
    Current PhD Students
    Abhishek Gupta
    Area of Research: Partial Differential Equations
    Kanchan Dwivedi
    Area of Research: Partial Differential Equations
    Previous PhD Students
    Smriti Tiwari (2024)
    Area of Research: Exact Solutions and Their Asymptotics to Viscous Burgers Equations
    Vekataramana PB (2022)
    Area of Research: Partial Differential Equations
    MANASA M (2018)
    Area of Research: Partial Differential Equations
    Mohd Ahmed (2017)
    Area of Research: Partial Differential Equations
    CONFERENCE / WORKSHOP / SYMPOSIUM / SHORT TERM COURSE / FACULTY DEVELOPMENT PROGRAMME
    ADDITIONAL RESPONSIBILITIES
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     Last updated on March 31, 2026