For the 3D Navier-Stokes-Korteweg system with a small stationary force, the authors prove global uniform strong solutions and the low Mach convergence rate ε^{min(1/r, 1/2-1/p)} in mixed Besov spaces.
Charve, Local in time results for local and non-local capillary Navier–Stokes systems with large data, J
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Low Mach number limit for the Navier--Stokes--Korteweg equations with a stationary force
For the 3D Navier-Stokes-Korteweg system with a small stationary force, the authors prove global uniform strong solutions and the low Mach convergence rate ε^{min(1/r, 1/2-1/p)} in mixed Besov spaces.