×

Continuous dependence on the boundary parameter for the 3D primitive equations of large scale ocean under oscillating random force. (Chinese. English summary) Zbl 1463.35068

Summary: The structure stability of the solutions of the 3D primitive equations of large scale ocean under oscillating random force in a cylindrical region is considered, which was used to study long-term weather prediction and climate changes. By establishing rigorous a priori bounds of the solutions, adopting the energy analysis methods and using the differential inequality technology, a first-order differential inequality about auxiliary functions and the continuous dependence on the boundary parameter are obtained.

MSC:

35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35Q86 PDEs in connection with geophysics
86A05 Hydrology, hydrography, oceanography
PDFBibTeX XMLCite
Full Text: DOI