Sharp well-posedness and ill-posedness of the three-dimensional primitive equations of geophysics in Fourier-Besov spaces

DOI10.1016/j.nonrwa.2019.02.003zbMath1453.35152OpenAlexW2916774706WikidataQ128329033 ScholiaQ128329033MaRDI QIDQ2328890

Jinyi Sun, Shang-bin Cui

Publication date: 16 October 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.02.003

zbMATH Keywords

well-posednessill-posednessprimitive equationsFourier-Besov spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Ill-posed problems for PDEs (35R25) General theory of rotating fluids (76U05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Meteorology and atmospheric physics (86A10) PDEs in connection with geophysics (35Q86)

Related Items (6)

Global solutions to 3D rotating Boussinesq equations in Besov spaces ⋮ The singular convergence of a chemotaxis-fluid system modeling coral fertilization ⋮ Convergence results on the boundary conditions for 2D large-scale primitive equations in oceanic dynamics ⋮ Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type ⋮ The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere ⋮ Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics.

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