Local solvability of an inverse problem to the density-dependent Navier–Stokes equations

DOI10.1080/00036810802428920zbMath1152.35398OpenAlexW1979668422MaRDI QIDQ5503684

Gen Nakamura, Jishan Fan

Publication date: 16 January 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802428920

zbMATH Keywords

Navier-Stokes equationsinverse problemintegral overdeterminationnon-homogeneous incompressible fluids

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (10)

Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman-Forchheimer equations with the integral overdetermination ⋮ A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum ⋮ 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 ⋮ 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 ⋮ Inverse problems for the higher order nonlinear Schrödinger equation ⋮ A nonlinear inverse problem of the Korteweg–de Vries equation ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ A Priori Estimates for a System Modelling Nonhomogeneous Asymmetric Fluids

Cites Work

• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Density-dependent incompressible viscous fluids in critical spaces
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids

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