Jungho Park received his Ph.D. from Indiana University, Bloomington in Applied Mathematics, focusing on Geophysical Fluid Dynamics. Park's research area is bifurcation and stability problems in fluid dynamics and geophysical fluid dynamics. Accurate weather or climate forecasts and warnings are absolutely vital services, which are provided by those in meteorological profession. There are two major components that influence weather and climate on the earth; the atmosphere and the ocean. Due to their nature of rotating geophysical fluids, the rotating convection problem can be considered a key model for atmospheric and oceanic flows. Park's research involves the rigorous mathematical analysis for the original partial differential equation models which is needed to overcome the inherent limitations of numerical studies. This analysis shows how the solutions of a differential equation changes as the system parameter changes. Park's new research area consists of dynamic transition and pattern formation for biological systems. Mathematical modeling of chemotaxis has developed into a large and diverse discipline, which include mechanistic basis, modeling of specific systems, and mathematical behavior of the underlying equation.
Recent Projects/Research
- Transition for Biological Pattern Generator
- Long Time Proximity of Solutions to Thermosolutal Convection at Infinite Prandtl Number
Publications
- Y. Choi, J. Han and J. Park, Dynamical bifurcation of the generalized Swift-Hohenberg equation, Int. J. Bifurcation and Chaos, Vol. 25, No. 8, 1550095 (16 pages), 2015.
- J. Park and P. Strzelecki, Bifurcation to Traveling Waves in the cubic-quintic Complex Ginzburg-Landau Equation, Anal. Appl., Vol. 13, No. 4, pp. 395-411, 2015.
- J. Park, Thermosolutal Convection at Infinite Prandtl Number: Initial Layer and Infinite Prandtl Number Limit, Appl. Anal., Vol. 92, pp. 1829-1847, 2013.
- J. Park, Structure of Bifurcated Solutions of Two-Dimensional Infinite Prandtl Number Convection with No-Slip Boundary Conditions, Appl. Math. Comput., Vol.218, pp.10586-10601, 2012.
- J. Park, Thermosolutal Convection at Infinite Prandtl Number with or without Rotation: Bifurcation and Stability in Physical Space, J. Math. Phys., 52, 053701, 2011.
Courses Taught at New York Tech
- Calculus I, II, III
- Linear Algebra
- Differential Equations
- Partial Differential Equations