## UC Berkeley / Lawrence Berkeley Laboratory

#### Navier–Stokes equations on rotating surfaces: Regularity, algorithm, analysis, and simulation

**Mahadevan Ganesh, Colorado School of Mines**

##### March 16th, 2011 at 4PM–5PM in 939 Evans Hall [Map]

Development of efficient algorithms with rigorous analysis for partial
differential equations (PDE) on domains and surfaces requires knowledge of
regularity of solutions of the PDE. In this talk, for the Navier–Stokes
equations rotating spheres we discuss (i) the global regularity for real and
complexified time; (ii) a high-order algorithm with stability and convergence
analysis; (iii) long time simulation of a benchmark atmospheric flow and
justification of a turbulence theory.