Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation

DOI10.3934/eect.2015.4.281zbMath1337.93020OpenAlexW2524869534MaRDI QIDQ258798

Peng Gao

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.281

zbMATH Keywords

null controllability1-D Kuramoto-Sivashinsky equationconstraints on the state

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Fixed-point theorems (47H10) Linearizations (93B18)

Related Items (10)

Irreducibility of Kuramoto-Sivashinsky equation driven by degenerate noise ⋮ On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: well-posedness and stability results ⋮ Some control problems for the Burgers equation ⋮ Local null controllability of the stabilized Kuramoto-Sivashinsky system using moment method ⋮ Null controllability with constraints on the state for stochastic heat equation ⋮ Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay ⋮ Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation ⋮ On the exponential stability of a nonlinear Kuramoto-Sivashinsky-Korteweg-de Vries equation with finite memory ⋮ Internal controllability of the Kawahara equation on a bounded domain ⋮ Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach

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