Mahadevan Ganesh (Colorado School of Mines)-Navier-Stokes equations on rotating surfaces: Regularity, algorithm, analysis, and simulation
Mathematics - Colloquium
Monday, December 10, 2012
2:00 PM-3:00 PM
ABSTRACT: Development of efficient algorithms with rigorous analysis for partial differential equations (PDE) on domains and surfaces requires knowledge of the regularity of solutions of the PDE.
In this talk, for the Navier-Stokes equations on 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 model and justification of a turbulence theory.
Suggested Audiences: Adult, College
Last Modified: December 5, 2012 at 9:38 AM