Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 390, Issue 1, Pages 181-187Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.01.028
Keywords
Compressible Navier-Stokes-Korteweg system; Strong solution; Optimal decay rates; Energy estimates
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Funding
- National Natural Science Foundation of China-NSAF of China [10976026]
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In this paper, we consider the compressible Navier-Stokes-Korteweg system that models the motions of the compressible isothermal viscous capillary fluids. We prove the global existence of a strong solution to the compressible Navier-Stokes-Korteweg system when the initial perturbation lips parallel to rho(0) - (rho) over cap parallel to(H2) + parallel to u(0)parallel to(H1) is small. Furthermore, if the L-1 norm of the initial perturbation is finite, we can obtain the optimal L-2 decay rates. (C) 2012 Elsevier Inc. All rights reserved.
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