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In this paper, we consider a two-phase flow model consisting of the compressible Navier-Stokes systems with degenerate viscosity coupled with the compressible Navier-Stokes systems with constant viscosities via a drag force, which can be derived from Chapman-Enskog expansion for the compressible Navier-Stokes-Vlasov-Fokker-Planck system. For general initial data, we establish the global existence of weak solutions with finite energy to the initial value problem in the three-dimensional periodic domain, and prove the convergence of global weak solutions to its equilibrium state as the time tends to infinity., 38 pages

Aiming to breed a new cultivar with late maturation and large fruit size, three F1 intergeneric hybrids of longan and litchi populations, viz. 'Shixia' × 'Ziniangxi', Z'aoshu' × 'Ziniangxi' and 'Zhongqiu' × 'Ziniangxi' were evaluated under this experiment. Using the progenies as materials, 30 fruit quality traits including harvesting date, fruit weight, flesh thickness, seed weight, edible:non-edible ratio, soluble solids content, flavor of fruit, etc. were assessed and evaluated. The results showed that there was a significant difference in fruit quality traits among different hybrid progenies. The individual selections were evaluated by the quality weighed average, which was calculated as the scores of three different traits including fruit weight, the edible/non-edible ratio and the soluble solids content. Four hybrids ('Shizi-2', 'Shizi-9', 'Shizi-19' and 'Zaozi-1') were identified as superior individuals with a quality weighed average of more than 83, showing late maturation, large fruit size with high edible/non-edible ratio. Hence, these individuals will have great value in production application and breeding.