Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations

For linearized Navier–Stokes equations, we consider an inverse source problem of determining a spatially varying divergence-free factor. We prove the global Lipschitz stability by interior data over a time interval and velocity field at (Formula presented.) over the spatial domain. The key machinery are Carleman estimates for the Navier–Stokes equations and the operator rot. © 2021 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Imanuvilov O.Y.1 , Yamamoto M. 2, 3, 4, 5
Journal
Applicable Analysis
Language
English
Status
Published
Link
External link
DOI
10.1080/00036811.2021.2021189
Year
2021
Organizations
  • 1 Department of Mathematics, Colorado State University, Fort Collins, CO, United States
  • 2 Graduate School of Mathematical Sciences, The University of Tokyo, Meguro, Tokyo, Japan
  • 3 Academy of Romanian Scientists, Ilfov, nr.3, Bucuresti, Romania
  • 4 Accademia Peloritana dei Pericolanti, Palazzo Università, Messina, Italy
  • 5 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
35Q30; 35R25; 35R30; Carleman estimate; inverse source problem; Lipschitz stability; Navier–Stokes equations
Cite
ГОСТ MLA RIS BibTex
Share

Other records