Local exact controllability to the trajectories of the Korteweg-de Vries-Burgers equation on a bounded domain with mixed boundary conditions

DOI10.1016/j.jde.2019.10.043zbMath1434.35151arXiv1902.11270OpenAlexW2916979591WikidataQ126825244 ScholiaQ126825244MaRDI QIDQ2297245

Cristhian Montoya, Eduardo Cerpa, Bing-Yu Zhang

Publication date: 18 February 2020

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

Full work available at URL: https://arxiv.org/abs/1902.11270

zbMATH Keywords

controllabilityCarleman estimatesKorteweg-de Vries-Burgers equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation ⋮ On the stability and null-controllability of an infinite system of linear differential equations ⋮ Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions ⋮ Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation ⋮ Global Carleman estimate and its applications for a sixth-order equation related to thin solid films ⋮ 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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