Bonnivard, Matthieu; Omnès, Florian; Privat, Yannick Modeling and optimization of hourglass-shaped aquaporins. (English) Zbl 1401.92074 Math. Models Methods Appl. Sci. 28, No. 8, 1529-1564 (2018). MSC: 92C40 92C37 49Q10 76D05 92C35 76Z05 PDFBibTeX XMLCite \textit{M. Bonnivard} et al., Math. Models Methods Appl. Sci. 28, No. 8, 1529--1564 (2018; Zbl 1401.92074) Full Text: DOI
Bergounioux, Maitine; Privat, Yannick Shape optimization with Stokes constraints over the set of axisymmetric domains. (English) Zbl 1263.49050 SIAM J. Control Optim. 51, No. 1, 599-628 (2013). MSC: 49Q10 49J20 49K20 35Q30 76D05 76D55 PDFBibTeX XMLCite \textit{M. Bergounioux} and \textit{Y. Privat}, SIAM J. Control Optim. 51, No. 1, 599--628 (2013; Zbl 1263.49050) Full Text: DOI
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