Chapouly, Marianne Global controllability of nonviscous and viscous Burgers-type equations. (English) Zbl 1282.93050 SIAM J. Control Optim. 48, No. 3, 1567-1599 (2009). Summary: We deal with both nonviscous and viscous Burgers-type equations on a bounded interval. We study the global exact controllability of these equations when we have three controls: one control is the right member of the equation and is constant with respect to the space variable; the two others are the boundary values. For a first time, we are interested in nonviscous Burgers-type equations and we prove their global exact controllability for every time \(T>0\) with such controls thanks to the return method. Then we prove the global exact controllability of the viscous Burgers equation for every time \(T>0\). Cited in 25 Documents MSC: 93B05 Controllability 93C20 Control/observation systems governed by partial differential equations 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:global exact controllability; Burgers-type equations; return method PDFBibTeX XMLCite \textit{M. Chapouly}, SIAM J. Control Optim. 48, No. 3, 1567--1599 (2009; Zbl 1282.93050) Full Text: DOI Link