SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2016-2017
Lundi 29 août 2016
Mahadevan
GANESH (Department of Mathematical and Computer
Sciences, Colorado School of Mines, United States)
Navier-Stokes equations on rotating surfaces:
Regularity, algorithm, analysis, and simulation
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.
