Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Comparison of two finite element schemes for a chemo-repulsion system with quadratic production. (English) Zbl 1519.92028 Appl. Numer. Math. 173, 193-210 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 92C17 35Q92 65M60 35B44 65M12 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Appl. Numer. Math. 173, 193--210 (2022; Zbl 1519.92028) Full Text: DOI arXiv
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes. (English) Zbl 1492.92009 Adv. Comput. Math. 47, No. 6, Paper No. 87, 38 p. (2021). MSC: 92C17 35K51 35Q92 65M12 65M60 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Adv. Comput. Math. 47, No. 6, Paper No. 87, 38 p. (2021; Zbl 1492.92009) Full Text: DOI
Duarte-Rodríguez, Abelardo; Rodríguez-Bellido, María Ángeles; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Numerical analysis for a chemotaxis-Navier-Stokes system. (English) Zbl 1479.35662 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 417-445 (2021). MSC: 35Q35 35Q92 92C17 35B65 65M60 65M06 65N30 65M12 65M15 76D05 76T99 PDFBibTeX XMLCite \textit{A. Duarte-Rodríguez} et al., ESAIM, Math. Model. Numer. Anal. 55, 417--445 (2021; Zbl 1479.35662) Full Text: DOI arXiv
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles; Rueda-Gómez, Diego Armando Theoretical and numerical results for a chemorepulsion model with non-constant diffusion coefficients. (English) Zbl 1478.92029 Bodnár, Tomáš (ed.) et al., Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27–31, 2018. Cham: Birkhäuser. Adv. Math. Fluid Mech., 53-90 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35D30 35B40 65M22 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., in: Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27--31, 2018. Cham: Birkhäuser. 53--90 (2021; Zbl 1478.92029) Full Text: DOI
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes. (English) Zbl 1447.65076 Comput. Math. Appl. 80, No. 5, 692-713 (2020). MSC: 65M60 65M06 65M12 65M15 35B65 92C17 35Q92 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Comput. Math. Appl. 80, No. 5, 692--713 (2020; Zbl 1447.65076) Full Text: DOI arXiv
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme. (English) Zbl 1447.65075 Comput. Math. Appl. 80, No. 5, 636-652 (2020). MSC: 65M60 65M12 65M15 92C17 65M06 65H10 35Q82 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Comput. Math. Appl. 80, No. 5, 636--652 (2020; Zbl 1447.65075) Full Text: DOI arXiv
Guillen-Gonzalez, Francisco; Mallea-Zepeda, Exequiel; Rodriguez-Bellido, Maria Angeles A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem. (English) Zbl 1439.35224 SIAM J. Control Optim. 58, No. 3, 1457-1490 (2020). MSC: 35K51 35Q92 49J20 49K20 PDFBibTeX XMLCite \textit{F. Guillen-Gonzalez} et al., SIAM J. Control Optim. 58, No. 3, 1457--1490 (2020; Zbl 1439.35224) Full Text: DOI arXiv
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles Optimal bilinear control problem related to a chemo-repulsion system in 2D domains. (English) Zbl 1442.35189 ESAIM, Control Optim. Calc. Var. 26, Paper No. 29, 21 p. (2020). MSC: 35K51 35Q92 49J20 49K20 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 29, 21 p. (2020; Zbl 1442.35189) Full Text: DOI arXiv
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. (English) Zbl 1417.65170 Math. Comput. 88, No. 319, 2069-2099 (2019). MSC: 65M60 35K51 35Q92 65M12 92C17 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Math. Comput. 88, No. 319, 2069--2099 (2019; Zbl 1417.65170) Full Text: DOI arXiv
Guillén-González, F.; Rodríguez-Bellido, M. A. On the singular times of fluids with nonlinear viscosity. (English) Zbl 0992.76008 J. Math. Anal. Appl. 263, No. 2, 380-405 (2001). Reviewer: Valeriu Al.Sava (Iaşi) MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{M. A. Rodríguez-Bellido}, J. Math. Anal. Appl. 263, No. 2, 380--405 (2001; Zbl 0992.76008) Full Text: DOI Link