Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 35, Issue 1, Pages 513-536Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2015.35.513
Keywords
Navier-Stokes-Kortewege quations; potential force; global existence; optimalconvergence rates; L-p-L-q estimate
Categories
Funding
- National Natural Science Foundation of China [11201300, 11231006]
- NSFC [11171212, 11171220]
- Research Fund for the Doctoral Program of Higher Education of China [20130073110073]
Ask authors/readers for more resources
In this paper, the compressible Navier-Stokes-Korteweg equations with a potential external force is considered in R-3. Under the smallness assumpt ion on both the external force and the initial perturbation of the stationary solution in some Sobolev spaces, we establish the existence theory of global solutions to the stationary profile. What's more, when the initial perturbation is bounded in L-p-norm with 1 <= p < 2, the optimal time decay rates of the solution in L-q-norm with 2 <= q <= 6 and its first order derivative in L-2-norm are shown. On the other hand, when the (H) over dot(-s) norm (s is an element of (0, 3/2])of the perturbation is finite, we obtain the optimal time decay rates of the solution and its first order derivative in L-2-norm.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available