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math.AP2025
Global well-posedness of the 2D primitive equations with fractional horizontal dissipation
Changhui Tan, Zhuan Ye
In this paper, we investigate the two-dimensional incompressible primitive equations with fractional horizontal dissipation. Specifically, we establish global well-posedness of str…
math.AP2025
Well-posedness and ill-posedness of the primitive equations with fractional horizontal dissipation
Elie Abdo, Quyuan Lin, Changhui Tan
The primitive equations (PE) are a fundamental model in geophysical fluid dynamics. While the viscous PE are globally well-posed, their inviscid counterparts are known to be ill-po…