Small Besov-space initial data produce a unique global strong solution with polynomial decay for the compressible Navier-Stokes-Korteweg system in R^N, N≥3.
Saito, Maximal regularityfor a compressible fluid model of Kortewe g type on general domains , preprint
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The global well-posedness for the compressible fluid model of Korteweg type
Small Besov-space initial data produce a unique global strong solution with polynomial decay for the compressible Navier-Stokes-Korteweg system in R^N, N≥3.