Edriss S. Titi

Ma'of Fellowship

 

My research in applied and computational mathematics lies at the interface between rigorous applied analysis and physical applications. Most of my work has been focused on the development of analytical and computational techniques for investigating nonlinear phenomena. Specifically, in studying the Navier-Stokes equations and other related nonlinear partial differential equations. Such equations arise as models in a wide range of applications in nonlinear science and engineering. The applications include, but are not limited to, fluid mechanics, geophysics, turbulence, chemical reactions, nonlinear fiber optics, and control theory.

 

Recent publications

• [with C. Foias and D. Holm] The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory. J. Dynamics and Differential Equations 14 (2002) 1-35.
• [with C. Cao] Global well-posedness and finite dimensional global attractor for a 3-D planetary geostrophic viscous model. Comm. Pure and Applied Mathematics 56 (2003) 198-233.
• [with L. Margolin and S. Wynne] The postprocessing Galerkin and nonlinear Galerkin methods — a truncation analysis point of view. SIAM, J. Numerical Analysis 41 (2003) 695-714.