On Unique Continuation for Navier-Stokes Equations

Joint Authors

Duan, Zhiwen
Han, Shuxia
Sun, Peipei

Source

Abstract and Applied Analysis

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

Mathematics

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