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.