Delyon, Alexandre; Henrot, Antoine; Privat, Yannick The missing \((A,D,r)\) diagram. (Le diagramme \((A,D,r)\) manquant.) (English. French summary) Zbl 1497.49053 Ann. Inst. Fourier 72, No. 5, 1941-1992 (2022). MSC: 49Q10 52A40 28A75 49K15 PDFBibTeX XMLCite \textit{A. Delyon} et al., Ann. Inst. Fourier 72, No. 5, 1941--1992 (2022; Zbl 1497.49053) Full Text: DOI arXiv
Henrot, Antoine; Mazari, Idriss; Privat, Yannick Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. (English) Zbl 1467.49034 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S6, 32 p. (2021). MSC: 49Q10 35J61 PDFBibTeX XMLCite \textit{A. Henrot} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S6, 32 p. (2021; Zbl 1467.49034) Full Text: DOI arXiv HAL
Henrot, Antoine; Privat, Yannick What is the optimal shape of a pipe? (English) Zbl 1304.76022 Arch. Ration. Mech. Anal. 196, No. 1, 281-302 (2010). MSC: 76D55 76D05 76M30 49J20 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Arch. Ration. Mech. Anal. 196, No. 1, 281--302 (2010; Zbl 1304.76022) Full Text: DOI arXiv
Henrot, Antoine; Privat, Yannick A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) (French. Abridged English version) Zbl 1156.35444 C. R., Math., Acad. Sci. Paris 346, No. 19-20, 1057-1061 (2008). MSC: 35Q30 49K20 76D55 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, C. R., Math., Acad. Sci. Paris 346, No. 19--20, 1057--1061 (2008; Zbl 1156.35444) Full Text: DOI
Henrot, Antoine; Privat, Yannick Shape minimization of dendritic attenuation. (English) Zbl 1133.92003 Appl. Math. Optimization 57, No. 1, 1-16 (2008). MSC: 92C20 35Q92 65K10 49N90 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Appl. Math. Optim. 57, No. 1, 1--16 (2008; Zbl 1133.92003) Full Text: DOI arXiv