On Unique Continuation for Navier-Stokes Equations
Joint Authors
Duan, Zhiwen
Han, Shuxia
Sun, Peipei
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study the unique continuation properties of solutions of the Navier-Stokes equations.
We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable Gaussian decay at infinity to obtain the Gaussian decay weighted estimates, as well as Carleman inequality.
As a consequence we obtain sufficient conditions on the behavior of the solution at two different times t 0 = 0 and t 1 = 1 which guarantee the “global” unique continuation of solutions for the Navier-Stokes equations.
American Psychological Association (APA)
Duan, Zhiwen& Han, Shuxia& Sun, Peipei. 2015. On Unique Continuation for Navier-Stokes Equations. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1052074
Modern Language Association (MLA)
Duan, Zhiwen…[et al.]. On Unique Continuation for Navier-Stokes Equations. Abstract and Applied Analysis No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1052074
American Medical Association (AMA)
Duan, Zhiwen& Han, Shuxia& Sun, Peipei. On Unique Continuation for Navier-Stokes Equations. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1052074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052074