Abstract
We consider the stability of stationary solutions w for the exterior Navier‐Stokes flows with a nonzero constant velocity u∞ at infinity. For u∞ = 0 with nonzero stationary solution w, Chen (1993), Kozono and Ogawa (1994), and Borchers and Miyakawa (1995) have studied the temporal stability in Lp spaces for 1 < p and obtained good stability decay rates. For the spatial direction, we recently obtained some results. For u∞ ≠ 0, Heywood (1970, 1972) and Masuda (1975) have studied the temporal stability in L2 space. Shibata (1999) and Enomoto and Shibata (2005) have studied the temporal stability in Lp spaces for p ≥ 3. Then, Bae and Roh recently improved Enomoto and Shibata′s results in some sense. In this paper, we improve Bae and Roh′s result in the spaces Lp for p > 1 and obtain Lr‐Lp stability as Kozono and Ogawa and Borchers and Miyakawa obtained for u∞ = 0.
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.
