Dr. Bong-Sik Kim is an Assistant Professor in Mathematics at American University of Ras Al Khaimah since 2009. He received his MSc from Hanyang University, Korea, and a Ph.D from Arizona State University, US, in 2003. Before joining AURAK he was a Zassenhaus Assistant Professor at The Ohio State University, Columbus, Ohio, US.
Dr. Kim’s research interest is theoretical understanding of regularity of embeddings of infinite-dimensional dynamical systems into finite dimensional spaces related to the question of whether one reproduce the dynamics of partial differential equations on a finite-dimensional attractor using a finite-dimensional system of ordinary differential equations.
He is also keen to incorporate computational resources, such as MATLAB and MAPLE, into undergraduate math teaching, which makes possible data-driven mathematical modeling synthesized in traditional problem-solving math education and lifts mathematics out of the wardrobe of mathematical obscurities into the real world with direct practical importance.
Many years of international experience of teaching mathematics for science and engineering majors. My research interests are in the area of Analysis of Partial Differential Equations. Among others, I am working on Nonlinear Partial Differential Equations arising from Fluid Dynamics and Geophysical flows. Questions related to the existence of solutions, their asymptotic behaviors, and computational analysis are in the core of my research.
1) Research: Present research projects are
• “Length-scale estimates for the three-dimensional Lagrangian-averaged Navier-Stokes-α equations for fast rotating geophysical fluids”
• “Development of direct numerical simulation code of rotating ferrofluids in confined cylinders”, (PI),
AURAK Seed Grant, AED 15,000 ($ 4,000), Jan/2014 – Dec/2014.
• Invited Talk: “Three Dimensional Swirling Flows in a Cylinder with a Rotating Endwall”, Department of Mathematics, Hanyang University, Seoul, Korea, 8 April, 2014
Host Faculty: Prof. Young Sun Park
2) Teaching: Over the past period a number of undergraduate courses were developed and deliv- ered, including Calculus for Life Sciences, Foundations in Mathematical Biology, etc. I am especially interested in the development of teaching strategies in the STEM curriculum and the integration of educational and instructional technology into teaching.
• B. Kim and B. Nicolaenko, Existence and continuity of exponential attractors of the three dimen- sional Navier-Stokes-α equations for uniformly rotating geophysical fluids, Communications in Math- ematical Sciences, Vol. 4, No. 2, pages 399-452 (June 2006).
• B. Kim, Two Methods in Constructing Exponential Attractors with an Exemplary Dynamical Sys- tem, Lagrangian-averaged Rotating Navier-Stokes-α Equations, Third International Conference on Mathematical Sciences, United Arab Emirates University, Vol. 2, pages 745-760 (2008).
• B. Kim, Length-scale estimates for the three-dimensional Lagrangian-averaged Navier-Stokes-α equations for fast rotating geophysical fluids (to be submitted)