Current Research Projects:

• The 3D Euler Equations of Fluid Dynamics: Blow-up in Finite Time?
• The 3D Navier-Stokes Equations: The Problem of Global Regularity (One of the Outstanding Millenium Problems).
• Atmospheric Dynamics and High Performance Computing.
  

Recent Publications:

• Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains, Instability in Models Connected with Fluid Flows I, International Mathematical Series, 6, Springer, 2007
• Regularity of Euler Equations for a Class of Three-Dimensional Initial Data (Progress in Nonlinear Differential Equations and Applications, Birkhauser, Basel, Vol 61, 161-185 (2004).
• Non Blow-Up of the 3D Euler Equations for a Class of Three-Dimensional Initial Data in Cylindrical Domains.
• Non Blow-Up of the 3D Ideal Magnetohydrodynamics Equations For a Class of Three-Dimensional Initial Data in Cylindrical Domains.
• Variability of Turbulence and its Outer Scales in a Model Tropopause Jet (Journal of Atmospheric Science, Vol 61, #6, 621-643, 2004).
• Eddy Mixing in Jet-stream Turbulence Under Stronger Stratification.
  

Atmospheric Dynamics Gallery

Curriculum Vitae