Young Scientist awardee in the 63rd Congress of the Indian Society of Theoretical and Applied Mechanics.

Selected and attended for the one month Ph.D., Mobility Program at the Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen University Town, Shenzhen, Nanshan-518055, China during16/11/2018 to 15/12/2018.

Selected and attended for the one-month GIAN course on “Nonlinear Dynamics of Classical Magnetic Systems”, sponsored by Ministry of Human Resource Development (MHRD), Govt. of India from 23rd November 2017 to 22nd December 2017.

P.G. Siddheshwar, B. N. Shivakumar, Y. Zhao and C. Kanchana, 2020, "Rayleigh-Bénard convection in a Newtonian liquid bounded by rigid isothermal boundaries", Applied Mathematics and Computation, Vol. 371, pp. 124942-1--124942-15.

P. G. Siddheshwar and B. N. Shivakumar, 2020, “Analytical study of Küppers-Lortz instability in a Newtonian-boussinesq liquid with rigid-isothermal boundaries” to De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences.