Continuous data assimilation for the 3D and higher-dimensional Navier-Stokes equations with higher-order fractional diffusion
DOI10.1016/j.jmaa.2024.128644zbMATH Open1547.35498MaRDI QIDQ6607364
Publication date: 18 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Navier-Stokes equationsfluid dynamicscontinuous data assimilationfractional diffusionAzouani-Olson-Titi algorithmhigher-dimensional Navier-Stokes
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Flow control and optimization for incompressible viscous fluids (76D55) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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