Curriculum Vitae
Chongchun Zeng
Education
January
1994-August 1997: Brigham Young Univ., Ph.D. in Mathematics
Advisor: Prof. Peter W. Bates
Thesis:
Normally hyperbolic invariant manifolds and foliations for semiflows
in Banach spaces
September 1990-November 1993: Nankai Univ., Tianjin, P. R. China; Undergraduate in Mathematics
Professional Experience
September 2009 -- present: Professor, School of Math., Georgia Institute of Technology
September 2005 -- August 2009: Associate Professor, School of Math., Georgia Institute of Technology
September 2000 -- August 2005: Assistant Professor, Dept. of Math., University of Virginia
September 1997 -- August 2000: Courant Instructor, Courant Institute of Math. Sci., New York University
Research Grants and Awards
The Isentropic Euler Equations and Optimal Transport, NSF DMS 1101423, 2011-2014.
Interface problems in fluids and nonlinear waves. NSF DMS 0801319, 2008-2011.
Sloan Fellowship: 2004.
Career Award: Career: Perturbation problems in PDE Dynamics. NSF DMS Analysis 0627842 (formerly 0239389), 2003-2008.
Hamiltonian motions under strong constraints. NSF DMS Analysis, 0101969, 2001-2004.
Dynamics of Weak Diffusive PDEs, New York University Research Challenge Fund, 1999. (The proposal was externally reviewed.)
Research Interests : Applied dynamical systems and nonlinear PDEs
Regularity and dynamics of nonlinear PDEs, such as stability/instability and invariant structures (periodic/quasi-periodic/homoclinic/hetoroclinic solutions, traveling waves, etc.) of nonlinear wave and nonlinear Schr\"odinger equations, fluid equations (inlduing free boundary problems like water waves), etc.
General theory of infinite dimensional dynamical systems, including persistence, smoothness, and dynamics in neighborhoods, of invariant manifolds and foliations for semiflows, approximate invariant manifolds and their applications to PDE singular perturbations problems;
Selected Publications