Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence

DOI10.1007/s00021-015-0232-7zbMath1330.35482OpenAlexW2195024157MaRDI QIDQ889649

Silvano Bezerra De Menezes, Juan Limaco, Enrique Fernández-Cara

Publication date: 9 November 2015

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-015-0232-7

zbMATH Keywords

null controllabilitynonlinear parabolic PDEsCarleman inequalitiesnonlocal nonlinearities

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic behavior of solutions to PDEs (35B40) Control of turbulent flows (76F70) PDEs in connection with control and optimization (35Q93)

Related Items (10)

Local null controllability of a class of non-Newtonian incompressible viscous fluids ⋮ Local controllability to stationary trajectories of a Burgers equation with nonlocal viscosity ⋮ Local null controllability of a quasi-linear system and related numerical experiments ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ On the theoretical and numerical control of a one-dimensional nonlinear parabolic partial differential equation ⋮ Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid ⋮ Local null controllability of the \(N\)-dimensional Navier-Stokes system with nonlinear Navier-slip boundary conditions and \(N-1\) scalar controls ⋮ RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems ⋮ On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake ⋮ Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control

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