Valencia-Guevara, Julio C.; Pérez, John; Abreu, Eduardo On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation. (English) Zbl 1522.35522 J. Math. Anal. Appl. 528, No. 2, Article ID 127602, 32 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35A15 35B40 35B44 PDFBibTeX XMLCite \textit{J. C. Valencia-Guevara} et al., J. Math. Anal. Appl. 528, No. 2, Article ID 127602, 32 p. (2023; Zbl 1522.35522) Full Text: DOI
Ferreira, L. C. F.; Santos, M. C.; Valencia-Guevara, J. C. Minimizing movement for a fractional porous medium equation in a periodic setting. (English) Zbl 1433.35185 Bull. Sci. Math. 153, 86-117 (2019). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35K65 26A33 35K55 76S05 35K15 49Jxx 58Exx 28A33 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} et al., Bull. Sci. Math. 153, 86--117 (2019; Zbl 1433.35185) Full Text: DOI arXiv
Ferreira, Lucas C. F.; Valencia-Guevara, Julio C. Gradient flows of time-dependent functionals in metric spaces and applications to PDEs. (English) Zbl 1390.35407 Monatsh. Math. 185, No. 2, 231-268 (2018). MSC: 35R20 34G20 35K15 28A33 35Qxx 49J40 49Q20 58Exx 60J60 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} and \textit{J. C. Valencia-Guevara}, Monatsh. Math. 185, No. 2, 231--268 (2018; Zbl 1390.35407) Full Text: DOI arXiv
Ferreira, Lucas C. F.; Valencia-Guevara, Julio C. Periodic solutions for a 1D-model with nonlocal velocity via mass transport. (English) Zbl 1339.35237 J. Differ. Equations 260, No. 10, 7093-7114 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76B03 35L67 35A15 35K15 35B10 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} and \textit{J. C. Valencia-Guevara}, J. Differ. Equations 260, No. 10, 7093--7114 (2016; Zbl 1339.35237) Full Text: DOI arXiv