Academic Background

Ph.D. in Mathematics,               Georgia Institute of Technology, 2007.
    Advisor: Eric A. Carlen  

M.S. in Applied Mathematics,     Georgia Institute of Technology, 2003.               

B.S. in Mathematics Education,  M. E. Technical University(Turkey), 2000.            

B.S. in Mathematics,  M. E. Technical University(Turkey), 2000. 

Publications

• An entropy dissipation -  entropy estimate for a thin film type equation, with Eric A. Carlen,  Communications in Mathematical Sciences, Vol. 3, No.2, pp-171-178, 2005.

• A new family of higher order nonlinear degenerate parabolic equations,  Nonlinearity, 20, pp- 685-712, 2007.

• Asymptotic equipartition and long time behavior of solutions of a thin-film equation, with Eric A. Carlen, Journal of Differential Equations, vol 241, issue 2, pp-279-292, 2007.

• The Mathematical Theory of Thin Film Evolution, PhD thesis, Georgia Institute of Technology, 2007.

• On a new family of higher order nonlinear degenerate parabolic equations, Applied Mathematics Research eXpress, Volume 2007: article ID abm010, 28 pages.

• Stability of entropy solutions for Levy mixed hyperbolic-parabolic equations, with Kenneth H. Karlsen, submitted to Journal of Differential Equations.

Works in Progress

• Asymptotic equipartition and exponential decay of weak solutions in Hele-Shaw flow problem, with Eric A. Carlen, preprint.

• Existence and numerics for entropy solutions to Levy mixed hyperbolic-parabolic equations, with Kenneth H. Karlsen, preprint.

• On equations involving non-local operators with measure data, with Kenneth H. Karlsen and Francesco Petitta, in progress.

• Operator splitting for Levy mixed parabolic equation in Wasserstein sense, with Kenneth H. Karlsen and Jose A. Carrillo, in progress.

Research interests

Nonlinear Partial Differential Equations, Hyperbolic Conservation Laws, Optimal Mass Transportation Theory, Numerical Analysis of Partial Differential Equations

Teaching

teaching statement

Teaching Archive

"Outstanding Teaching Assistant Award" in Academic Year 2006-2007

Work Experience

2009-2011 Post Doctoral Fellow, CSCAMM, University of Maryland, College Park, USA.

2007- 2009 Post Doctoral Fellow, Centre of Mathematics for Applications, University of Oslo, Oslo, NORWAY.

2001-2007 Teaching Assistant, Georgia Institute of Technology, Atlanta, GA, USA.

2000-2001 Teaching Assistant, M. E. T.U., Ankara, TURKEY.