The Department of Mathematics, MRU organized an International Webinar on Numerical Explosive Combustion Models: Multiplicity and Simulations. Prof Yufeng Xu from Central South University, China was the guest speaker. Prof Xu received his Ph.D degree in Applied Mathematics from Central South University in 2014 and later joined the School of Mathematics and Statistics of CSU as an assistant professor. His main interests are Fractional Calculus & their Applications, Numerical Methods for PDEs, Mathematical Models from Combustion Process. He is currently a member of the editorial board of journal Abstract and Applied Analysis. He has published more than 50 research papers in Journals of International repute.
Present for the webinar were, Prof. (Dr.) Om Aggarwal – Professor Emeritus, Southern Illinois University, Carbondale, USA; Prof. Rajesh Kumar Pandey – IIT BHU; Dr. Deepa Arora, Dr. Aparna Vyas, Dr. Kamlesh along with other faculty members and 86+ participants.
Prof Yufeng Xu briefly explained some mathematical models from the combustion process. For time-dependent problems, he explained the blowup phenomenon and its critical conditions. He mainly focused on the steady-state problem (Gelfand equation) and introduced some fractional combustion models. He explained careful analysis for a one-dimensional case and obtained a bifurcation curve, which plays an important role in designing effective iterative methods.
Webinar culminated successfully with a question and answer session.