Bio-sketch
Dr. Deepika Singh is an Assistant Professor in the Department of Mathematics at Netaji Subhas University of Technology, New Delhi. She earned her Ph.D. degree in Mathematics from the Department of Applied Mathematics and Scientific Computing, Indian Institute of Technology Roorkee. Her academic work is centered on the analytical study of nonlinear wave and flow models arising in gas-dynamical and related physical systems. Her research investigates shock propagation, discontinuities, and evolving flow structures, with the aim of obtaining mathematical solutions that help explain such phenomena in applied scientific problems. She has published 19 research papers in reputed peer-reviewed international journals.
Research Focus: Hyperbolic Conservation Laws, Shock Waves, Gas Dynamics, and Group Theoretic Methods.
Ongoing Research Project: PI of a project titled “A Fundamental Understanding and Prediction of Magnetogasdynamic Shock Wave Behaviour in Viscous Non-Ideal Dusty Gases.” [ANRF Funded]
Current Research Group: Anshul (Ph.D. Research Scholar); Sanjeev Kumar Yadav (JRF)
Academic Profiles: Google Scholar | ResearchGate
For detailed information, please click here.
- Publications
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1. Singh, D., & Phogat, A. (2026). Shock wave dynamics in a non-ideal dusty rotating gas influenced by magnetic field and radiation heat flux. Chinese Journal of Physics, 100, 141-162. (SCIE)
2. Phogat, A., & Singh, D. (2025). Similarity solution for magnetogasdynamic shock wave in a non-ideal dusty rotating gas with gravitational field. Physics of Fluids, 37(7), 076136. (SCIE)
3. Bhardwaj, A., Singh, D., & Arora, R. (2025). Analysis of magnetogasdynamic shock wave in a self-gravitating non-ideal dusty gas using Lie group theory. Physics of Fluids, 37(4), 046133. (SCIE)
4. Chauhan S. & Singh, D. (2024). An analysis of magnetogasdynamic shock wave propagation in a rotational axisymmetric self-gravitating nonideal gas. The European Physical Journal Plus, 139(941), 1-20. (SCIE)
5. Yadav, S., Singh, D., & Arora, R. (2024). A perturbation approach to study the shock wave propagation in a non-ideal magnetogasdynamics under isothermal condition. Physics of Fluids, 36(3), 036124. (SCIE)
6. Yadav, S., Singh, D., & Arora, R. (2023). The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux. Mathematical Methods in the Applied Sciences, 46(9), 10814-10832. (SCIE)
7. Singh, D., Yadav, S., & Arora, R. (2022). A (2+ 1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions. Communications in Nonlinear Science and Numerical Simulation, 115, 106786. (SCIE)
8. Singh, D., & Arora, R. (2022). An analysis of shock wave propagation in a dusty gas. Mathematical Methods in the Applied Sciences, 45(9), 5149-5164. (SCIE)
9. Singh, D., Chauhan, A., & Arora, R. (2022). Convergence of strong shock waves in an ideal gas with dust particles. Physics of Fluids, 34(2), 026106. (SCIE)
10. Yadav, S., Singh, D., & Arora, R. (2022). Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field. Mathematical Methods in the Applied Sciences, 45(17), 11889-11904. (SCIE)
11. Chauhan, S., Singh, D., & Arora, R. (2022). Similarity solution for isothermal flow behind the magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas with the effect of the gravitational field. Physics of Fluids, 34(11), 117118. (SCIE)
12. Singh, D., & Arora, R. (2021). Propagation of shock waves in a non‐ideal gas under the action of magnetic field. Mathematical Methods in the Applied Sciences, 44(2), 1514-1528. (SCIE)
13. Yadav, S., Singh, D., & Arora, R. (2021). Propagation of cylindrical shock waves in rotational axisymmetric dusty gas with magnetic field: Isothermal flow. Physics of Fluids, 33(12), 127106. (SCIE)
14. Devi, M., Singh, D., & Arora, R. (2021). Similarity solutions for cylindrical shock waves in a non-ideal gas under the action of monochromatic radiation. Journal of Physics A: Mathematical and Theoretical, 54(12), 125701. (SCI)
15. Devi, M., Arora, R., & Singh, D. (2020). Blast waves propagation in magnetogasdynamics: power series method. Zeitschrift für Naturforschung A, 75(12), 1039-1050. (SCI)
16. Singh, D., & Arora, R. (2020). Piston driven converging cylindrical shock waves in a non-ideal gas with azimuthal magnetic field. Physics of Fluids, 32(12), 126116. (SCIE)
17. Singh, D., & Arora, R. (2020). Similarity solutions for imploding shocks in a non-ideal magnetogasdynamics. International Journal of Applied and Computational Mathematics, 6(46), 1-14. (SCOPUS)
18. Singh, D., Arora, R., & Chauhan, A. (2020). Similarity solutions for strong shock waves in magnetogasdynamics under a gravitational field. Ricerche di Matematica, 72, 491-510. (SCIE, I.F.- 1.1, Q2)
19. Chauhan, A., Sharma, K., Arora, R., & Singh, D. (2020). Similarity solutions for the strong shock waves in magnetogasdynamics with the effect of monochromatic radiation. The European Physical Journal Plus, 135, 1-17. (SCIE)