Bio-Sketch:

Dr. Deepika Singh is an Assistant Professor in the Department of Mathematics, Netaji Subhas University of Technology (formerly Netaji Subhas Institute of Technology), New Delhi. She obtained her Ph.D. degree in Mathematics from the Department of Applied Mathematics and Scientific Computing, Indian Institute of Technology Roorkee (I.I.T. Roorkee), in 2022. She received her M.Sc. (Mathematics) degree from the Indian Institute of Technology Roorkee. Her broad area of research includes the Study of Quasilinear Systems of Partial Differential Equations, Shock Waves, Gas Dynamics, Non-linear Waves and Group Theoretic Methods. She has published 14 research papers in reputed peer reviewed International Journals.

Areas of Interest: Hyperbolic Partial Differential Equations, Shock Waves, Gas Dynamics and Group Theoretic Methods.

List of Publications:

     I. 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.

    II. 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.

    III. 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.

    IV. 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.

    V. 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.

    VI. 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.

    VII. 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.

    VIII. 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.

    IX. 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.

    X. Devi, M., Arora, R., & Singh, D. (2020). Blast waves propagation in magnetogasdynamics: power series method. Zeitschrift für Naturforschung A, 75(12), 1039-1050.

    XI. 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.

    XII. Singh, D., & Arora, R. (2020). Similarity solutions for imploding shocks in a non-ideal magnetogasdynamics. International Journal of Applied and Computational Mathematics, 6, 1-14.

    XIII. Singh, D., Arora, R., & Chauhan, A. (2020). Similarity solutions for strong shock waves in magnetogasdynamics under a gravitational field. Ricerche di Matematica, 1-20.

    XIV. 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.