Journal of Applied Mechanical Engineering

Finite-time blow-up for the 3-D primitive equations of oceanic and atmospheric dynamics

2^nd International Conference on Fluid Dynamics & Aerodynamics

October 19-20, 2017 | Rome, Italy

Lin Zheng and Shu Wang

Beijing University of Technology, China

Scientific Tracks Abstracts: J Appl Mech Eng

Abstract:

In this paper, we prove that for certain class of initial data, the corresponding solutions of the 3-D primitive equations of oceanic and atmospheric without viscosity and with periodic boundary conditions blow up in finite time. We reduce the unknown function of the three dimensional by constructing special solution and consider the restriction of the evolution of equation on the surface x=0, y=0. Furthermore, we construct a self-similar solution to solve the blow-up problem.