2016/10/24 by Bo You, Fang Li, You, Bo +1
Engineering · Mathematics · #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1610.07283
openalex publication_date 2016/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is concerned with the long-time behavior of solutions for the three dimensional viscous primitive equations of large-scale moist atmosphere. We prove the existence of a global attractor for the three dimensional viscous primitive equations of large-scale moist atmosphere by asymptotic a priori estimate and construct an exponential attractor by using the smoothing property of the semigroup generated by the three dimensional viscous primitive equations of large-scale moist atmosphere. As a byproduct, we obtain the fractal dimension of the global attractor for the semigroup generated by the three dimensional viscous primitive equations of large-scale moist atmosphere is finite, which is in consistent with the results in \citejn2,jn1.