Bárcena-Petisco, Jon Asier; Le Balc’h, Kévin Local null controllability of the penalized Boussinesq system with a reduced number of controls. (English) Zbl 1498.93037 Math. Control Relat. Fields 12, No. 3, 641-666 (2022). MSC: 93B05 93C20 35K40 PDF BibTeX XML Cite \textit{J. A. Bárcena-Petisco} and \textit{K. Le Balc'h}, Math. Control Relat. Fields 12, No. 3, 641--666 (2022; Zbl 1498.93037) Full Text: DOI
Bárcena-Petisco, Jon Asier; Guerrero, Sergio; Pazoto, Ademir F. Local null controllability of a model system for strong interaction between internal solitary waves. (English) Zbl 1493.35088 Commun. Contemp. Math. 24, No. 2, Article ID 2150003, 30 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 93C20 PDF BibTeX XML Cite \textit{J. A. Bárcena-Petisco} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150003, 30 p. (2022; Zbl 1493.35088) Full Text: DOI
Bárcena-Petisco, Jon Asier Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term. (English) Zbl 1492.35018 ESAIM, Control Optim. Calc. Var. 27, Paper No. 106, 27 p. (2021). MSC: 35B25 35K25 93B05 93C20 PDF BibTeX XML Cite \textit{J. A. Bárcena-Petisco}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 106, 27 p. (2021; Zbl 1492.35018) Full Text: DOI
Chaves-Silva, Felipe Wallison; Ervedoza, Sylvain; Souza, Diego A. Switching controls for analytic semigroups and applications to parabolic systems. (English) Zbl 1466.93018 SIAM J. Control Optim. 59, No. 4, 2820-2849 (2021). MSC: 93B05 35K51 93C20 PDF BibTeX XML Cite \textit{F. W. Chaves-Silva} et al., SIAM J. Control Optim. 59, No. 4, 2820--2849 (2021; Zbl 1466.93018) Full Text: DOI arXiv
Bárcena-Petisco, Jon Asier Uniform controllability of a Stokes problem with a transport term in the zero-diffusion limit. (English) Zbl 1444.35016 SIAM J. Control Optim. 58, No. 3, 1597-1625 (2020). MSC: 35B25 35P10 35Q35 93B05 93C20 PDF BibTeX XML Cite \textit{J. A. Bárcena-Petisco}, SIAM J. Control Optim. 58, No. 3, 1597--1625 (2020; Zbl 1444.35016) Full Text: DOI
Roy, Arnab; Takahashi, Takéo Local null controllability of a rigid body moving into a Boussinesq flow. (English) Zbl 1437.35547 Math. Control Relat. Fields 9, No. 4, 793-836 (2019). MSC: 35Q30 93C20 76D05 93B05 74F10 PDF BibTeX XML Cite \textit{A. Roy} and \textit{T. Takahashi}, Math. Control Relat. Fields 9, No. 4, 793--836 (2019; Zbl 1437.35547) Full Text: DOI
Carreño, N.; Guerrero, S.; Gueye, M. Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system. (English) Zbl 1315.35158 ESAIM, Control Optim. Calc. Var. 21, No. 1, 73-100 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q35 35Q93 93C20 93B05 PDF BibTeX XML Cite \textit{N. Carreño} et al., ESAIM, Control Optim. Calc. Var. 21, No. 1, 73--100 (2015; Zbl 1315.35158) Full Text: DOI Link
Coron, Jean-Michel; Lissy, Pierre Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components. (English) Zbl 1308.35163 Invent. Math. 198, No. 3, 833-880 (2014). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 93B05 PDF BibTeX XML Cite \textit{J.-M. Coron} and \textit{P. Lissy}, Invent. Math. 198, No. 3, 833--880 (2014; Zbl 1308.35163) Full Text: DOI arXiv
Gueye, Mamadou Uniqueness results for Stokes cascade systems and application to insensitizing controls. (English. Abridged French version) Zbl 1256.35184 C. R., Math., Acad. Sci. Paris 350, No. 17-18, 831-835 (2012). MSC: 35Q93 35Q35 35A02 PDF BibTeX XML Cite \textit{M. Gueye}, C. R., Math., Acad. Sci. Paris 350, No. 17--18, 831--835 (2012; Zbl 1256.35184) Full Text: DOI
Coron, Jean-Michel; Guerrero, Sergio Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component. (English) Zbl 1179.35209 J. Math. Pures Appl. (9) 92, No. 5, 528-545 (2009). MSC: 35Q30 76D05 76D55 93B05 78M50 PDF BibTeX XML Cite \textit{J.-M. Coron} and \textit{S. Guerrero}, J. Math. Pures Appl. (9) 92, No. 5, 528--545 (2009; Zbl 1179.35209) Full Text: DOI
Coron, Jean-Michel; Guerrero, Sergio Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. (English) Zbl 1172.35042 J. Differ. Equations 246, No. 7, 2908-2921 (2009). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L50 35L60 76D07 93B05 PDF BibTeX XML Cite \textit{J.-M. Coron} and \textit{S. Guerrero}, J. Differ. Equations 246, No. 7, 2908--2921 (2009; Zbl 1172.35042) Full Text: DOI
Fernández-Cara, Enrique; Guerrero, Sergio; Imanuvilov, Oleg Yurievich; Puel, Jean-Pierre On the controllability of the \(N\)-dimensional Navier-Stokes and Boussinesq systems with \(N-1\) scalar controls. (English. Abridged French version) Zbl 1067.35061 C. R., Math., Acad. Sci. Paris 340, No. 4, 275-280 (2005). MSC: 35Q30 93B05 PDF BibTeX XML Cite \textit{E. Fernández-Cara} et al., C. R., Math., Acad. Sci. Paris 340, No. 4, 275--280 (2005; Zbl 1067.35061) Full Text: DOI
Zhang, Xu; Zuazua, Enrique Decay of solutions of the system of thermoelasticity of type III. (English) Zbl 1136.74318 Commun. Contemp. Math. 5, No. 1, 25-83 (2003). MSC: 74F05 37L15 35B35 35B37 74H40 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{E. Zuazua}, Commun. Contemp. Math. 5, No. 1, 25--83 (2003; Zbl 1136.74318) Full Text: DOI
Ortega, J. H.; Zuazua, E. On a constrained approximate controllability problem for the heat equation. (English) Zbl 0969.93007 J. Optimization Theory Appl. 108, No. 1, 29-64 (2001). Reviewer: Sebastian Aniţa (Iaşi) MSC: 93B05 93C20 PDF BibTeX XML Cite \textit{J. H. Ortega} and \textit{E. Zuazua}, J. Optim. Theory Appl. 108, No. 1, 29--64 (2001; Zbl 0969.93007) Full Text: DOI
Lions, Jacques-Louis; Zuazua, Enrique Exact boundary controllability of Galerkin’s approximations of Navier-Stokes equations. (English) Zbl 1053.93009 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 4, 605-621 (1998). MSC: 93B05 35Q30 65M60 76D05 PDF BibTeX XML Cite \textit{J.-L. Lions} and \textit{E. Zuazua}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 4, 605--621 (1998; Zbl 1053.93009) Full Text: Numdam EuDML
Díaz, J. I.; Fursikov, A. V. Approximate controllability of the Stokes system on cylinders by external unidirectional forces. (English) Zbl 0889.93032 J. Math. Pures Appl., IX. Sér. 76, No. 4, 353-375 (1997). Reviewer: T.Nambu (Kobe) MSC: 93C20 93B05 35Q30 PDF BibTeX XML Cite \textit{J. I. Díaz} and \textit{A. V. Fursikov}, J. Math. Pures Appl. (9) 76, No. 4, 353--375 (1997; Zbl 0889.93032) Full Text: DOI
Fabre, Caroline Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. (English) Zbl 0872.93039 ESAIM, Control Optim. Calc. Var. 1, 267-302 (1996). Reviewer: T.Nambu (Kobe) MSC: 93C20 93B05 PDF BibTeX XML Cite \textit{C. Fabre}, ESAIM, Control Optim. Calc. Var. 1, 267--302 (1996; Zbl 0872.93039) Full Text: DOI EuDML