Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 52, Issue 6, Pages 6313-6337Publisher
SIAM PUBLICATIONS
DOI: 10.1137/19M1282076
Keywords
Navier-Stokes-Korteweg system; global well-posedness; maximal regularity; long-time behavior
Categories
Funding
- JSPS [17H0109, 17K14225]
- Top Global University Project
- Grants-in-Aid for Scientific Research [17K14225] Funding Source: KAKEN
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In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong solution for small initial data in R-N, 3 <= N <= 7. In this study, the main tools are the maximal L-p-L-q regularity and L-p-L-q decay properties of solutions to the linearized equations.
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