Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 227, Issue 3, Pages 995-1059Publisher
SPRINGER
DOI: 10.1007/s00205-017-1188-y
Keywords
-
Categories
Funding
- National Center for Mathematics and Interdisciplinary Sciences, CAS
- President Fund of Academy of Mathematics Systems Science, CAS [2014-cjrwlzx-hxd]
- NNSFC [11471321, 11371064, 11671412, 11688101, 11371348, 11525106]
Ask authors/readers for more resources
For the three-dimensional full compressible Navier-Stokes system describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid, we establish the global existence and uniqueness of classical solutions with smooth initial data which are of small energy but possibly large oscillations where the initial density is allowed to vanish. Moreover, for the initial data, which may be discontinuous and contain vacuum states, we also obtain the global existence of weak solutions. These results generalize previous ones on classical and weak solutions for initial density being strictly away from a vacuum, and are the first for global classical and weak solutions which may have large oscillations and can contain vacuum states.
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