Well-posedness of an inverse problem of Navier–Stokes equations with the final overdetermination

DOI10.1515/JIIP.2009.035zbMath1181.35329MaRDI QIDQ3182470

Gen Nakamura, Jishan Fan

Publication date: 9 October 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsinverse problemfinal overdetermination

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30)

Related Items (14)

On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations ⋮ Inverse problem for non-stationary system of magnetohydrodynamics ⋮ Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian ⋮ Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman-Forchheimer equations with the integral overdetermination ⋮ Inverse problems for stationary Navier-Stokes systems ⋮ Inverse problem for Navier-Stokes systems with finite-dimensional overdetermination ⋮ Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination ⋮ Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model ⋮ Inverse problem for integro-differential Kelvin-Voigt equations ⋮ An inverse problem for Kelvin–Voigt equations perturbed by isotropic diffusion and damping ⋮ On an inverse problem for a linearized system of Navier-Stokes equations with a final overdetermination condition ⋮ Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ An inverse problem for generalized Kelvin–Voigt equation with p-Laplacian and damping term

Cites Work

• Determination of the right-hand side in a quasilinear parabolic equation with a terminal observation
• Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
• Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
• Local exact controllability of the two-dimensional Navier-Stokes equations
• Global uniqueness for inverse parabolic problems with final observation

This page was built for publication: Well-posedness of an inverse problem of Navier–Stokes equations with the final overdetermination