Abstract
In this article, we consider the global behavior of weak solutions of the Navier-Stokes equations of a compressible fluid in a bounded domain driven by bounded forces for the adiabatic constant $\gamma=5/3$ . Under the condition of a small mass depending on the given forces, we prove the existence of bounded absorbing sets of weak solutions, and thus we further get global bounded trajectories and global attractors to the weak solutions.
Highlights
1 Introduction In this article, we investigate the global behavior of finite energy weak solutions to the Navier-Stokes equations of a viscous compressible isentropic fluid:
We always assume that ⊂ R is a bounded domain with Lipschitz boundary, and I an open time interval
We give the standard definition of finite energy weak solutions to the problem ( )( ) as in [, ]
Summary
We give the standard definition of finite energy weak solutions to the problem ( )( ) as in [ , ]. We call the couple (ρ, u) a finite energy weak solution to the problem ( )-( ), if it satisfies the following properties: Wang and Wang Boundary Value Problems (2015) 2015:176
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
