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Mathematics

Faculty

Adrijit Goswami

Aniket Biswas

Apurba Das

Arindam Banerjee

Bappaditya Bhowmik

Bodhayan Roy

Buddhananda Banerjee

Chandal Nahak

Debapriya Biswas

Debjani Chakraborty

Dipankar Ghosh

G P Raja Sekhar

Geetanjali Panda

Gnaneshwar Nelakanti

Hari Shankar Mahato

Husney Parvez Sarwar

Kamalakshya Mahatab

Koeli Ghoshal

Mithun Bhowmik

Mousumi Mandal

Nabakumar Jana

Naveen Kumar Garg

Nitin Gupta

P V S N Murthy

Pawan Kumar

Prateep Chakraborty

Pratima Panigrahi

Rajni Kant Pandey

Ramakrishna Nanduri

Ratna Dutta

Rupanwita Gayen

Somesh Kumar

Somnath Bhattacharyya

Soumitra Ghara

Soumyarup Banerjee

Sourav Mukhopadhyay

Swanand Ravindra Khare

Swarup Kumar Panda

T Raja Sekhar

T Raja Sekhar, IIT Kharagpur

T Raja Sekhar

Professor

Mathematics

+91-3222-282602

trajasekhar@maths.iitkgp.ac.in

Awards and Accolades

Personal Webpage Bio Sketch

Research Areas

Presently I am working on Quasilinear Hyperbolic System of Partial Differential Equations involving classical and noclassical nonlinear waves such as shock waves, rarefaction waves, contact discontinuities and delta shock waves and nonlinear wave interactions.

All Publications

No Record Found.

Completed Projects

Co-Principal Investigator

Ph. D. Students

Anamika

Area of Research: Hyperbolic Partial Differential Equations

Anupriya Topno

Area of Research: Analytical & Numerical study of DE and their applications

Hari Om Jangid

Area of Research: Partial Differential Equations

Lilu Sahu

Area of Research: Hyperbolic system of conservation laws

Sheetal Prasad Thawait

Area of Research: Hyperbolic system of partial differential equations

Journal

Exact solutions and wave interactions for one-dimensional two-phase thin film model of a perfectly soluble antisurfactant by Jangid H. O., Sil S. , Sekhar T. R. International Journal of Non-Linear Mechanics 180 1-18 (2026)
Nonlinear wave interactions of the Riemann problem for a two-lane traffic flow model by Kuila S., Jana S. , Sekhar T. R. Physics of Fluids 37 1-16 (2025)
Nonlocal symmetry analysis, exact solutions, and evolution of nonlinear waves for one-dimensional shallow water magnetohydrodynamics equations by Topno A., Sil S. , Sekhar T. R. Physics of Fluids 37 1-18 (2025)
Solitary wave solutions of a two-dimensional thin film model for a perfectly soluble antisurfactant solution by Topno A., Jangid H. O., Sekhar T. R. Physica Scripta 100 1-20 (2025)
Asymptotics towards nonlinear diffusion waves for the solutions of a hyperbolic system with linear damping on quadrant by Chhatria B., Sekhar T. R. Applied Mathematics and Computation 507 1-27 (2025)
Construction of solutions of the Riemann problem for a two-dimensional Keyfitz-Kranzer type model governing a thin film flow by Pandey A., Barthwal R. , Sekhar T. R. Applied Mathematics and Computation 498 1-21 (2025)
Limiting behaviour of the Riemann solution to a macroscopic production model with van der Waals equation of state by Chhatria B., Sekhar T. R., Zeidan D. Applied Mathematics and Computation 465 1-21 (2024)
Shock wave solution to a nonstrictly hyperbolic system of conservation laws using weak asymptotic method by Chhatria B., Sekhar T. R. Sadhana 49 1-15 (2024)
On a degenerate boundary value problem to relativistic magnetohydrodynamics with a general pressure law by Barthwal R., Sekhar T. R. Zeitschrift f¨ur angewandte Mathematik und Physik 75 1-33 (2024)
Interactions between elementary waves and weak discontinuity in two-layer blood flow through artery by Mondal R., Minhajul M. , Sekhar T. R. Physics of Fluids 36 1-13 (2024)
Delta wave interactions in a non-strictly hyperbolic system with non-convex flux by Minhajul M., Sekhar T. R. Indian Journal of Pure and Applied Mathematics 55 577-596 (2024)
Self-similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws by Chhatria B., Sen A. , Sekhar T. R. Mathematical Methods in the Applied Sciences 46 7265-7284 (2023)
The multiplication of distributions in the study of delta shock waves for zero-pressure gas dynamics system with energy conservation laws by Sen A., Sekhar T. R. Ricerche di Matematica 72 653-678 (2023)
Solution to the Riemann problem for drift-flux model with modified Chaplygin two-phase flows by Zeidan D., Jana S. , Kuila S. , Sekhar T. R. International Journal for Numerical Methods in Fluids 95 242-261 (2023)
Existence and regularity of solutions of a supersonicsonic patch arising in axisymmetric relativistic transonic flow with general equation of state by Barthwal ., Sekhar T. R. Journal of Mathematical Analysis and Applications 523 1-34 (2023)
Existence of solutions to gas expansion problem through a sharp corner for 2-D Euler equations with general equation of state by Barthwal ., Sekhar T. R. Studies in Applied Mathematics 151 141-170 (2023)
Construction of solutions of a two-dimensional Riemann problem for a thin film model of a perfectly soluble antisurfactant solution by Barthwal R., Sekhar T. R., Raja Sekhar G. P. Mathematical Methods in the Applied Sciences 46 7413-7434 (2023)
Wave interactions in pressureless Cargo LeRoux model with flux perturbation by Sahoo S. M., Sekhar T. R., Raja Sekhar G. P. Mathematical Methods in the Applied Sciences 46 8663-8679 (2023)
Weak shock wave interactions in isentropic Cargo-LeRoux model of flux perturbation by Kuila S., Zeidan D. , Sekhar T. R. Mathematical Methods in the Applied Sciences 45 7526-7537 (2022)
Collision of nonlinear waves in logotropic system with a Coulomb-type friction by Minhajul M., Sekhar T. R. Sadhana 47 1-10 (2022)
Nonclassical potential symmetry analysis and exact solutions for a thin film model of a perfectly soluble anti-surfactant solution by Sil S., Sekhar T. R. Applied Mathematics and Computation 440 1-25 (2022)
Nonlocal conservation laws and dynamics of soliton solutions of (2+ 1)-dimensional Boiti-Leon-Pempinelli system by Sil S., Sekhar T. R. Physics of Fluids 34 1-18 (2022)
Simple waves for two-dimensional magnetohydrodynamics with extended Chaplygin gas by Barthwal R., Sekhar T. R. Indian Journal of Pure and Applied Mathematics 53 542-549 (2022)
On the existence and regularity of solutions of semi-hyperbolic patches to 2-D Euler equations with van der Waals gas by Barthwal R., Sekhar T. R. Studies in Applied Mathematics 148 543-576 (2022)
Two-dimensional non self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution by Barthwal R., Sekhar T. R. Quarterly of Applied Mathematics 80 717-738 (2022)
Analytic solutions for (2+ 1)-dimensional shallow water equations with flat bottom through Lie symmetry approach, by Satapathy P., Sekhar T. R. The European Physical Journal Plus 137 1-20 (2022)
The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term by Sen A., Sekhar T. R. Mathematical Methods in the Applied Sciences 44 7207-7227 (2021)
Codimension two Lie invariant solutions of the modified Khokhlov-Zabolotskaya-Kuznetsov equation by Satapathy ., Sekhar T. R., Zeidan D. Mathematical Methods in the Applied Sciences 44 4938-4951 (2021)
Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves by Sil S., Sekhar T. R. Journal of Mathematical Analysis and Applications 497 1-27 (2021)
Exact solutions of generalized Riemann problem for nonhomogeneous shallow water equations by Sahoo S. M., Sekhar T. R., Raja Sekhar G. P. Indian Journal of Pure and Applied Mathematics 51 1225-1237 (2020)
Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation by Sil S., Sekhar T. R., Zeidan D. Chaos Solitions and Fractals 139 1-9 (2020)
Nonlocally related systems, nonlocal symmetry reductions and exact solutions for one-dimensional macroscopic production model by Sil S., Sekhar T. R. The European Physical Journal Plus 35 1-23 (2020)
Delta shock wave and wave interactions in a thin film of a perfectly soluble anti-surfactant solution. by Sen A., Sekhar T. R. Communications on Pure and Applied Analysis 19 2641-2653 (2020)
Optimal classification, exact solutions, and wave interactions of Euler system with large friction by Sahoo S. M., Sekhar T. R., Raja Sekhar G. P. Mathematical Methods in the Applied Sciences 43 5744-5757 (2020)
Exact solutions of generalized Riemann problem for rate-type material by Sahoo S. M., Sekhar T. R., Raja G. P. International Journal of Nonlinear Mechanics 110 16-20 (2019)
Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution by Minhajul M., Sekhar T. R., Raja Sekhar G. P. Communications on Pure and Applied Analysis 18 3367-3386 (2019)
Stability of the Riemann solution for a 2 × 2 strictly hyperbolic system of conservation laws by Sen A., Sekhar T. R., Zeidan D. Sadhana 44 1-8 (2019)
Structural stability of the riemann solution for a strictly hyperbolic system of conservation laws with flux approximation by Sen A., Sekhar T.R. Communications on Pure and Applied Analysis 18 931-942 (2019)
Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation by Sen A., Sekhar T. R. Communications on Pure and Applied Analysis 18 931-942 (2019)
Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws by Sen A., Sekhar T. R. Journal of Mathematical Physics 60 1-12 (2019)
Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows by Minhajul M., Sekhar T. R. Quarterly of Applied Mathematics 77 671-688 (2019)
On the Wave interactions in the drift flux equations of two phase flows by Minhajul M., Zeidan D. , Sekhar T. R. Applied Mathematics and Computation 327 117-131 (2018)
Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model by Satapathy P., Sekhar T. R. Applied Mathematics and Computation 334 107-116 (2018)
Interaction of weak shocks in drift flux model of compressible two phase flows by Kuila S., Sekhar T. R. Chaos, Solitons and Fractals 107 222-227 (2018)
Collision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamics by Bira B., Sekhar T. R., Raja Sekhar G. P. Computers and Mathematics with Applications 3873-3883 (2018)
Exact solutions for some time-fractional evolution equations using Lie group theory by Bira B., Sekhar T. R., Zeidan D. Mathematical Methods in Applied Sciences 41 6717-6725 (2018)
Nonlocal symmetries classifications and exact solution of Chaplygin gas equations by Satapathy P., Sekhar T. R. Journal of Mathematical Physics 59 1-13 (2018)
Wave interactions and stability of Riemann solution for a strictly hyperbolic system of conservation laws by Sen A., Sekhar T. R., Sharma V. D. Quarterly of Applied Mathematics 75 539-554 (2017)
Wave interactions in non-ideal isentropic magnetogasdynamics by Kuila S., Sekhar T. R. International Journal of Applied and Computational Mathematics 3 1809-1831 (2017)
Elementary wave interactions in blood flow through artery by Sekhar T. R., Minhajul M. Journal of Mathematical Physics 58 1-20 (2017)
Group classification for isothermal drift flux model of two phase flows by T. Raja Sekhar and Purnima Satapathy Computers and Mathematics with Applications(Elsevier) 72 (5) 1436-1443 (2016)
On the Riemann problem simulation for the drift flux equations of two phase flows by Sahadeb Kuila, T. Raja Sekhar and D. Zeidan International Journal of Computational Methods (World Scientific) 13 (1) - (2016)
Riemann solution for one dimensional non-ideal isentropic magnetogasdynamics by Kuila S., Sekhar T. R. Computational and Applied Mathematics 35 119-133 (2016)
Application of Lie groups to compressible model of two-phase flows by Bira B., Sekhar T. R., Zeidan D. Computers and Mathematics with Applications 71 46-56 (2016)
Application of Lie groups to compressible model of two-phase flows by Bira B., Sekhar T. R., Zeidan D. Computers and Mathematics with Applications 71 46-56 (2016)
The Riemann problem for non-ideal isentropic compressible two phase flows by Sekhar T. R., Kuila S. , Shit G. C. International journal of Nonlinear Mechanics 81 197-206 (2016)
Solution to Riemann problem for five equation model multiphase flows in nonconservative form by Kuila S., Sekhar T. R., Shit G. C. Sadhana 41 1099-1109 (2016)
Exact solutions to drift-flux multi phase flow models through Lie group symmetry analysis by Bira B., Sekhar T. R. Applied Mathematics and Mechanics 36 1105-1112 (2015)
Exact solutions to magnetogasdynamic equations in Lagrangian coordinates by Bira B., Sekhar T. R. Journal of Mathematical Chemistry 53 1162-1171 (2015)
A robust and accurate Riemann solver for a compressible two phase flows by Sahadeb Kuila, T. Raja Sekhar and D. Zeidan Applied Mathematics and Computation (Elsevier) 265 681-695 (2015)
Lie group analysis and propagation of weak discontinuity in one-dimensional ideal isentropic magnetogasdynamics by B. Bira and T. Raja Sekhar Applicable Analysis (Taylor & Francis) 93 (12) 2598-2607 (2014)
Exact solutions to magneto gasdynamics using Lie point symmetries by B. Bira and T. Raja Sekhar Meccanica (Springer) 48 (5) 1023-1029 (2013)
Similarity analysis of modified shallow water equations and evolution of weak waves by T. Raja Sekhar and V. D. Sharma Communications in Nonlinear Science and Numerical Simulation (Elsevier)) 17(2) 630-636 (2012)
Evolution of weak discontinuities in shallow water equations by Sekhar T. R., Sharma V. Applied Mathematic Letters (Elsevier) 23 (3) 327-330 (2010)
Wave interactions for the pressure gradient equations by T. Raja Sekhar and V.D. Sharma Methods and Applications of Analysis (International press, Boston, USA) 17 (2) 165-178 (2010)
Riemann problem and elementary wave interactions in isentropic magnetogasdynamics by T. Raja Sekhar and V.D. Sharma Nonlinear Analysis:Real World Applications (Elsevier) 11 (2) 619-636 (2010)
Interaction of shallow water waves by Sekhar T. R., Sharma V. D. Studies in Applied Mathematics (MIT Press, USA) 121 (1) 1-25 (2008)

Symposium

Riemann problem for inviscid Burgers equation by Sekhar T. R. Symposium on Mathematics and it s Applications in honour of Prof. V. D. Sharma - (2025)

Conferences

Concentration and cavitation in the Riemann solution to a macroscopic production model with van der Waals equation of state by Sekhar T. R. Hyperbolic Problems: Theory, Numerics and Applications - (2024)