Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations
Abstract
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 t0>0 over the spatial domain. The key are Carleman estimates for the Navier-Stokes equations and the operator rot.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.