Rahul Barthwal

SoSe2024

• Numerical Methods for Differential Equations

Curriculum Vitae (PDF)

1. Rahul Barthwal and T. Raja Sekhar, On a degenerate boundary value problem for relativistic magnetohydrodynamics with a general pressure law, Submitted for publication.

2. Rahul Barthwal and T. Raja Sekhar, Existence of solutions to gas expansion problem through a sharp corner for 2-D Euler equations with general equation of state, Studies in Applied Mathematics, MIT Journal (Wiley), 151 (1), 141-170, (2023).

3. Rahul Barthwal, T. Raja Sekhar and G. P. Raja Sekhar, Construction of solutions of a two-dimensional Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution, Mathematical Methods in the Applied Sciences (Wiley), 46 (6), 7413-7434, (2023).

4. Rahul Barthwal and T. Raja Sekhar, Existence and regularity of solutions of a supersonic-sonic patch arising in axisymmetric relativistic transonic flow with general equation of state, Journal of Mathematical Analysis and Applications (Elsevier) 523 (2), 127022, (2023).

5. Rahul Barthwal and T. Raja Sekhar, Two-dimensional non self-similar Riemann solutions for a thin film model  of a perfectly soluble anti-surfactant solution, Quarterly of Applied Mathematics (American Mathematical Society), 80(4), 717-738, (2022).

6. Rahul Barthwal and T. Raja Sekhar, On the existence and regularity of solutions of semi-hyperbolic patches to    2-D Euler equations with van der Waals gas,  Studies in Applied Mathematics, MIT Journal (Wiley), 148(2), 543-576, (2022).

7. Rahul Barthwal and T. Raja Sekhar, Simple waves for two-dimensional magnetohydrodynamics with extended Chaplygin gas,  Indian Journal of Pure and Applied Mathematics (Springer), 53, 542–-549,  (2022).