Global Analysis of Compressible Navier–Stokes–Korteweg Equations: Well-Posedness and Gevrey Analyticity

This paper investigates the Cauchy problem for the full compressible Navier–Stokes–Korteweg equations, which model fluid dynamics with capillary properties in Rd(d≥3). And the global well-posedness and Gevrey analytic of strong solutions for the system are established in the L2−Lp type critical hybrid Besov space with 2≤p≤2dd−2 and p<d.