Davies, Cameron; Lim, Tongseok; McCann, Robert J. Classifying minimum energy states for interacting particles: spherical shells. (English) Zbl 1495.49024 SIAM J. Appl. Math. 82, No. 4, 1520-1536 (2022). MSC: 49Q10 31B10 35Q70 37L30 70F45 90C20 PDFBibTeX XMLCite \textit{C. Davies} et al., SIAM J. Appl. Math. 82, No. 4, 1520--1536 (2022; Zbl 1495.49024) Full Text: DOI arXiv
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca Uniqueness of stationary states for singular Keller-Segel type models. (English) Zbl 1458.35004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021). MSC: 35A02 92C17 35B38 35B40 26D10 35J62 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021; Zbl 1458.35004) Full Text: DOI arXiv
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert Analysis of spherical shell solutions for the radially symmetric aggregation equation. (English) Zbl 1472.35400 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628-2657 (2020). Reviewer: Andrea Tellini (Madrid) MSC: 35Q92 35F25 35Q70 74K25 92C17 PDFBibTeX XMLCite \textit{D. B. Guardia} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628--2657 (2020; Zbl 1472.35400) Full Text: DOI
Chen, Li; Knapp, Stephan Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation. (English) Zbl 1404.35434 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 567-593 (2018). MSC: 35Q70 82C22 65M06 60J65 92C17 35Q92 PDFBibTeX XMLCite \textit{L. Chen} and \textit{S. Knapp}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 567--593 (2018; Zbl 1404.35434) Full Text: DOI arXiv
Carrillo, José A.; Hoffmann, Franca; Mainini, Edoardo; Volzone, Bruno Ground states in the diffusion-dominated regime. (English) Zbl 1430.35122 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018). Reviewer: Ahmed Youssfi (Fès) MSC: 35K55 35K65 49K20 74G65 35Q92 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018; Zbl 1430.35122) Full Text: DOI arXiv
Calvez, V.; Carrillo, J. A.; Hoffmann, F. Equilibria of homogeneous functionals in the fair-competition regime. (English) Zbl 1373.35316 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85-128 (2017). MSC: 35Q92 92C17 35C06 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85--128 (2017; Zbl 1373.35316) Full Text: DOI arXiv
Che, Jiahang; Chen, Li; Göttlich, Simone; Pandey, Anamika; Wang, Jing Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension. (English) Zbl 1364.35379 Commun. Pure Appl. Anal. 16, No. 3, 1013-1036 (2017). MSC: 35Q92 35C20 92C17 PDFBibTeX XMLCite \textit{J. Che} et al., Commun. Pure Appl. Anal. 16, No. 3, 1013--1036 (2017; Zbl 1364.35379) Full Text: DOI
Craig, Katy; Bertozzi, Andrea L. A blob method for the aggregation equation. (English) Zbl 1339.35235 Math. Comput. 85, No. 300, 1681-1717 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q82 65M15 82C22 76M28 PDFBibTeX XMLCite \textit{K. Craig} and \textit{A. L. Bertozzi}, Math. Comput. 85, No. 300, 1681--1717 (2016; Zbl 1339.35235) Full Text: DOI arXiv
Craig, Katy; Topaloglu, Ihsan Convergence of regularized nonlocal interaction energies. (English) Zbl 1334.49040 SIAM J. Math. Anal. 48, No. 1, 34-60 (2016). MSC: 49J45 35R09 45K05 82B21 82B05 PDFBibTeX XMLCite \textit{K. Craig} and \textit{I. Topaloglu}, SIAM J. Math. Anal. 48, No. 1, 34--60 (2016; Zbl 1334.49040) Full Text: DOI arXiv
Balagué, D.; Carrillo, J. A.; Laurent, T.; Raoul, G. Nonlocal interactions by repulsive-attractive potentials: radial ins/stability. (English) Zbl 1286.35038 Physica D 260, 5-25 (2013). MSC: 35B40 35B07 35R11 PDFBibTeX XMLCite \textit{D. Balagué} et al., Physica D 260, 5--25 (2013; Zbl 1286.35038) Full Text: DOI arXiv
von Brecht, James H.; Bertozzi, Andrea L. Well-posedness theory for aggregation sheets. (English) Zbl 1307.58018 Commun. Math. Phys. 319, No. 2, 451-477 (2013). MSC: 58J99 PDFBibTeX XMLCite \textit{J. H. von Brecht} and \textit{A. L. Bertozzi}, Commun. Math. Phys. 319, No. 2, 451--477 (2013; Zbl 1307.58018) Full Text: DOI
Bertozzi, Andrea L.; Laurent, Thomas; Léger, Flavien Aggregation and spreading via the Newtonian potential: the dynamics of patch solutions. (English) Zbl 1241.35153 Math. Models Methods Appl. Sci. 22, Suppl., 1140005, 39 p. (2012). MSC: 35Q35 35Q70 76B03 35B09 35B40 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., Math. Models Methods Appl. Sci. 22, 1140005, 39 p. (2012; Zbl 1241.35153) Full Text: DOI