Fu, Jingyi; Liang, Jiuyang; Perthame, Benoit; Tang, Min; Zhong, Chuhan Confined run-and-tumble model with boundary aggregation: long-time behavior and convergence to the confined Fokker-Planck model. (English) Zbl 07778947 Math. Models Methods Appl. Sci. 33, No. 13, 2743-2783 (2023). MSC: 35Q92 35Q84 92C17 35B40 65C05 65M06 65N06 60J99 35R60 PDFBibTeX XMLCite \textit{J. Fu} et al., Math. Models Methods Appl. Sci. 33, No. 13, 2743--2783 (2023; Zbl 07778947) Full Text: DOI arXiv
Li, Yafeng; Mu, Chunlai; Xin, Qiao Global existence and asymptotic behavior of solutions for a hyperbolic-parabolic model of chemotaxis on network. (English) Zbl 1527.35456 Math. Methods Appl. Sci. 45, No. 11, 6739-6765 (2022). MSC: 35R02 35B40 35G61 92C17 PDFBibTeX XMLCite \textit{Y. Li} et al., Math. Methods Appl. Sci. 45, No. 11, 6739--6765 (2022; Zbl 1527.35456) Full Text: DOI
Liu, Qingqing; Wu, Xiaoli Stability of rarefaction wave for viscous vasculogenesis model. (English) Zbl 1498.35048 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7089-7108 (2022). MSC: 35B35 35B40 35B45 35Q92 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{X. Wu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7089--7108 (2022; Zbl 1498.35048) Full Text: DOI
Arumugam, Gurusamy; Tyagi, Jagmohan Keller-Segel chemotaxis models: a review. (English) Zbl 1464.35001 Acta Appl. Math. 171, Paper No. 6, 82 p. (2021). MSC: 35-02 35A35 35D30 35B40 35B44 35K51 35K59 65N30 65M08 65M06 PDFBibTeX XMLCite \textit{G. Arumugam} and \textit{J. Tyagi}, Acta Appl. Math. 171, Paper No. 6, 82 p. (2021; Zbl 1464.35001) Full Text: DOI
Ha, Seung-Yeal; Kim, Doheon; Zou, Weiyuan Slow flocking dynamics of the Cucker-Smale ensemble with a chemotactic movement in a temperature field. (English) Zbl 1441.35243 Kinet. Relat. Models 13, No. 4, 759-793 (2020). MSC: 35Q92 35B40 35D35 70F45 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Kinet. Relat. Models 13, No. 4, 759--793 (2020; Zbl 1441.35243) Full Text: DOI
Guarguaglini, Francesca R. Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network. (English) Zbl 1405.35238 Netw. Heterog. Media 13, No. 1, 47-67 (2018). MSC: 35R02 35M33 35L50 35B40 35Q92 PDFBibTeX XMLCite \textit{F. R. Guarguaglini}, Netw. Heterog. Media 13, No. 1, 47--67 (2018; Zbl 1405.35238) Full Text: DOI arXiv
Burini, D.; Chouhad, N. Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles. (English) Zbl 1372.35302 Math. Models Methods Appl. Sci. 27, No. 7, 1327-1353 (2017). MSC: 35Q82 82C40 35B40 35Q92 82C22 92C17 82C70 PDFBibTeX XMLCite \textit{D. Burini} and \textit{N. Chouhad}, Math. Models Methods Appl. Sci. 27, No. 7, 1327--1353 (2017; Zbl 1372.35302) Full Text: DOI
Outada, Nisrine; Vauchelet, Nicolas; Akrid, Thami; Khaladi, Mohamed From kinetic theory of multicellular systems to hyperbolic tissue equations: asymptotic limits and computing. (English) Zbl 1356.35130 Math. Models Methods Appl. Sci. 26, No. 14, 2709-2734 (2016). MSC: 35L51 35B40 92C17 35A35 35L60 PDFBibTeX XMLCite \textit{N. Outada} et al., Math. Models Methods Appl. Sci. 26, No. 14, 2709--2734 (2016; Zbl 1356.35130) Full Text: DOI arXiv
James, François; Vauchelet, Nicolas One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation. (English) Zbl 1350.35037 Netw. Heterog. Media 11, No. 1, 163-180 (2016). MSC: 35B44 35B40 35D30 35L60 35Q92 49K20 65M08 PDFBibTeX XMLCite \textit{F. James} and \textit{N. Vauchelet}, Netw. Heterog. Media 11, No. 1, 163--180 (2016; Zbl 1350.35037) Full Text: DOI arXiv
Vauchelet, Nicolas; James, François Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations. (English) Zbl 1353.35109 Discrete Contin. Dyn. Syst. 36, No. 3, 1355-1382 (2016). MSC: 35D30 35B40 35L60 35Q92 49K20 PDFBibTeX XMLCite \textit{N. Vauchelet} and \textit{F. James}, Discrete Contin. Dyn. Syst. 36, No. 3, 1355--1382 (2016; Zbl 1353.35109) Full Text: DOI arXiv
Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N. The Filippov characteristic flow for the aggregation equation with mildly singular potentials. (English) Zbl 1323.35005 J. Differ. Equations 260, No. 1, 304-338 (2016). MSC: 35B40 35D30 35L60 35Q92 49K20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 260, No. 1, 304--338 (2016; Zbl 1323.35005) Full Text: DOI arXiv
Bianca, C.; Dogbe, C.; Lemarchand, A. The role of nonconservative interactions in the asymptotic limit of thermostatted kinetic models. (English) Zbl 1326.35219 Acta Appl. Math. 139, No. 1, 1-24 (2015). MSC: 35Q20 82C22 92B05 35R05 35B40 PDFBibTeX XMLCite \textit{C. Bianca} et al., Acta Appl. Math. 139, No. 1, 1--24 (2015; Zbl 1326.35219) Full Text: DOI Link
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian Confinement by biased velocity jumps: aggregation of Escherichia coli. (English) Zbl 1337.35155 Kinet. Relat. Models 8, No. 4, 651-666 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q92 35B40 92C17 PDFBibTeX XMLCite \textit{V. Calvez} et al., Kinet. Relat. Models 8, No. 4, 651--666 (2015; Zbl 1337.35155) Full Text: DOI arXiv
James, François; Vauchelet, Nicolas On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis. (English) Zbl 1260.35010 Riv. Mat. Univ. Parma (N.S.) 3, No. 1, 91-113 (2012). MSC: 35B40 35L65 35Q92 92C17 PDFBibTeX XMLCite \textit{F. James} and \textit{N. Vauchelet}, Riv. Mat. Univ. Parma (N.S.) 3, No. 1, 91--113 (2012; Zbl 1260.35010) Full Text: arXiv
Kim, Inwon; Yao, Yao The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle. (English) Zbl 1261.35080 SIAM J. Math. Anal. 44, No. 2, 568-602 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K65 35K55 35B40 35R35 35B50 92C17 PDFBibTeX XMLCite \textit{I. Kim} and \textit{Y. Yao}, SIAM J. Math. Anal. 44, No. 2, 568--602 (2012; Zbl 1261.35080) Full Text: DOI arXiv
Hittmeir, Sabine; Jüngel, Ansgar Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. (English) Zbl 1259.35114 SIAM J. Math. Anal. 43, No. 2, 997-1022 (2011); corrigendum ibid. 52, No. 2, 2198-2200 (2020). Reviewer: Sebastian Anita (Iaşi) MSC: 35K51 35K55 35B40 35A01 35A02 92C17 35B44 PDFBibTeX XMLCite \textit{S. Hittmeir} and \textit{A. Jüngel}, SIAM J. Math. Anal. 43, No. 2, 997--1022 (2011; Zbl 1259.35114) Full Text: DOI
Degond, Pierre; Motsch, Sébastien A macroscopic model for a system of swarming agents using curvature control. (English) Zbl 1222.82071 J. Stat. Phys. 143, No. 4, 685-714 (2011). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C41 82C31 82D99 PDFBibTeX XMLCite \textit{P. Degond} and \textit{S. Motsch}, J. Stat. Phys. 143, No. 4, 685--714 (2011; Zbl 1222.82071) Full Text: DOI arXiv
Bellouquid, A.; De Angelis, E. From kinetic models of multicellular growing systems to macroscopic biological tissue models. (English) Zbl 1203.92020 Nonlinear Anal., Real World Appl. 12, No. 2, 1111-1122 (2011). MSC: 92C37 35L99 35Q92 35B40 PDFBibTeX XMLCite \textit{A. Bellouquid} and \textit{E. De Angelis}, Nonlinear Anal., Real World Appl. 12, No. 2, 1111--1122 (2011; Zbl 1203.92020) Full Text: DOI
Biler, Piotr; Brandolese, Lorenzo On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. (English) Zbl 1167.35316 Stud. Math. 193, No. 3, 241-261 (2009). MSC: 35B40 35K57 92C17 35K50 PDFBibTeX XMLCite \textit{P. Biler} and \textit{L. Brandolese}, Stud. Math. 193, No. 3, 241--261 (2009; Zbl 1167.35316) Full Text: DOI arXiv
Perthame, Benoît PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. (English) Zbl 1099.35157 Appl. Math., Praha 49, No. 6, 539-564 (2004). MSC: 35Q80 35B40 92C17 35K65 35D05 PDFBibTeX XMLCite \textit{B. Perthame}, Appl. Math., Praha 49, No. 6, 539--564 (2004; Zbl 1099.35157) Full Text: DOI EuDML