My research interest is in nonlinear partial differential equations (PDEs) in problems with computational fluid dynamics applications. The study of unsteady flows of compressible fluids behind sudden changes in the features of the medium, characterized by shock waves and the strong shock propagation associated with phenomena such as an explosions and implosions, is important in many fields of science and engineering. These flows are governed by hyperbolic nonlinear PDEs with moving boundary conditions and have no analytical solutions. Determining semi-analytical or numerical solution to this type of flow is of great interest and forms the underlying idea of my research.

1. Revathi Ravilisetty, Narsimhulu Dunna, and Ramu Addepalli, Effect of Viscosity on the Spherical Shock Wave Propagation in a Dusty Gas with Radiation Heat Flux and Exponentially Varying Density, the 4th International Conference on Frontiers in Industrial and Applied Mathematics, Springer Proceedings in Mathematics and Statistics: Frontiers in Industrial and Applied Mathematics (book chapter), Vol. 410, pp. 369-381, 2023, DOI: https://doi.org/10.1007/978-981-19-7272-0_26 Online ISBN978-981-19-7272-0, Springer Nature Singapore Pte Ltd.
2. Ravilisetty Revathi, Addepalli Ramu and Dunna Narsimhulu, “Solutions for Converging Cylindrical and Spherical Shock Waves in Condensed Matter Equation of State”, Nonlinear Studies, Cambridge Scientific Publishers (CSP), Vol. 27(3), pp. 673-692, 2020, http://www.nonlinearstudies.com/index.php/nonlinear/article/view/2175