{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:50:44Z","timestamp":1787320244216,"version":"build-2736575974"},"reference-count":21,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>In this paper, 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 $T&gt;0$ with such controls thanks to the return method. Then we prove the global exact controllability of the viscous Burgers equation for every time $T&gt;0$.<\/jats:p>","DOI":"10.1137\/070685749","type":"journal-article","created":{"date-parts":[[2009,5,1]],"date-time":"2009-05-01T18:07:03Z","timestamp":1241201223000},"page":"1567-1599","source":"Crossref","is-referenced-by-count":37,"title":["Global Controllability of Nonviscous and Viscous Burgers-Type Equations"],"prefix":"10.1137","volume":"48","author":[{"given":"Marianne","family":"Chapouly","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,5,1]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012996304407"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0307014"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211563"},{"key":"R4","first-page":"271","volume":"317","author":"Coron J.-M.","year":"1993","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0764-4442","issn-type":"print"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"J.M. Coron,\n                      On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions\n                      , ESAIM Contr\u00f4le Optim. Calc. Var., 1 (1995\/96), pp. 35\u201375.","DOI":"10.1051\/cocv:1996102"},{"key":"R6","first-page":"155","volume":"75","author":"Coron J.-M.","year":"1996","journal-title":"J. Math. Pures Appl. (9)","ISSN":"https:\/\/id.crossref.org\/issn\/0021-7824","issn-type":"print"},{"key":"R7","unstructured":"J.M. Coron,\n                      Control and Nonlinearity\n                      , Math. Surveys Monogr. 136, AMS, Providence, RI, 2007."},{"key":"R8","doi-asserted-by":"crossref","unstructured":"J.M. Coron,\n                      Some open problems on the control of nonlinear partial differential equations\n                      , in Perspectives in Nonlinear Partial Differential Equations: In Honor of Haim Brezis, Contemp. Math. 446, H. Berestycki, M. Bertsch, B. Peletier, and L. V\u00e9ron, eds., AMS, Providence, RI, 2007, pp. 215\u2013243.","DOI":"10.1090\/conm\/446\/08633"},{"key":"R9","first-page":"429","volume":"4","author":"Coron J.-M.","year":"1996","journal-title":"Russian J. Math. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/1061-9208","issn-type":"print"},{"key":"R10","unstructured":"J. I. D\u00edaz,\n                      Obstruction and some approximate controllability results for the Burgers equation and related problems\n                      , in Control of Partial Differential Equations and Applications (Laredo, 1994), Lecture Notes in Pure and Appl. Math. 174, Dekker, New York, 1996, pp. 63\u201376."},{"key":"R11","unstructured":"L. C. 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Sci. 117, Springer-Verlag, New York, 1997."}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/070685749","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:55:29Z","timestamp":1787316929000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/070685749"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1137\/070685749"],"URL":"https:\/\/doi.org\/10.1137\/070685749","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}