Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations
DOI10.1137/20M1323229zbMath1479.35602arXiv2003.01329OpenAlexW3216497889MaRDI QIDQ5014295
Publication date: 1 December 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.01329
three-dimensional Navier-Stokes equationscontinuous data assimilationsignal synchronizationdetermining modesdetermining volume elements and nodes
Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Flow control and optimization for incompressible viscous fluids (76D55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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