Local controllability to stationary trajectories of a Burgers equation with nonlocal viscosity

DOI10.1016/j.jde.2017.11.029zbMath1377.93047OpenAlexW2774083094MaRDI QIDQ1688677

Takéo Takahashi, Sorin Micu

Publication date: 11 January 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.11.029

zbMATH Keywords

observabilitylinearizationviscous Burgers equationFourier decompositioncontrollability to trajectoriesseries of exponentialsbiorthogonal methods

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Linearizations (93B18) Observability (93B07) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (8)

Local null controllability of a class of non-Newtonian incompressible viscous fluids ⋮ Local null controllability of the penalized Boussinesq system with a reduced number of controls ⋮ On a general degenerate/singular parabolic equation with a nonlocal space term ⋮ Control problems for the Navier-Stokes system with nonlocal spatial terms ⋮ Local controllability of reaction-diffusion systems around nonnegative stationary states ⋮ Local null-controllability of a nonlocal semilinear heat equation ⋮ Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid ⋮ Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel

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