Zhang, Haowen; Zheng, Pan Boundedness and stabilization in a three-species chemotaxis-competition system. (English) Zbl 07802017 J. Math. Anal. Appl. 534, No. 1, Article ID 128046, 30 p. (2024). Reviewer: Chunhua Jin (Guangzhou) MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{P. Zheng}, J. Math. Anal. Appl. 534, No. 1, Article ID 128046, 30 p. (2024; Zbl 07802017) Full Text: DOI
Zhao, Yan; Xie, Li Global classical solvability and asymptotic behaviors of a parabolic-elliptic chemotaxis-type system modeling crime activities. (English) Zbl 07782559 J. Math. Anal. Appl. 532, No. 1, Article ID 127909, 25 p. (2024). MSC: 35B40 35K51 35K59 35Q91 92C17 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{L. Xie}, J. Math. Anal. Appl. 532, No. 1, Article ID 127909, 25 p. (2024; Zbl 07782559) Full Text: DOI
Zhang, Wenji Global boundedness in a Keller-Segel system with flux limitation and logistic source. (English) Zbl 1519.92037 J. Math. Anal. Appl. 527, No. 2, Article ID 127573, 9 p. (2023). MSC: 92C17 35B40 35Q92 35B44 35K51 PDFBibTeX XMLCite \textit{W. Zhang}, J. Math. Anal. Appl. 527, No. 2, Article ID 127573, 9 p. (2023; Zbl 1519.92037) Full Text: DOI
Tang, Haotian; Zheng, Jiashan; Li, Kaiqiang Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains. (English) Zbl 1518.35116 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127406, 18 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{H. Tang} et al., J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127406, 18 p. (2023; Zbl 1518.35116) Full Text: DOI
Zheng, Jiashan; Zhang, Pengmei Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction. (English) Zbl 1501.35095 J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023). MSC: 35B44 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{J. Zheng} and \textit{P. Zhang}, J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023; Zbl 1501.35095) Full Text: DOI
Wang, Chang-Jian; Zhao, Li-Xin; Zhu, Xin-Cai A blow-up result for attraction-repulsion system with nonlinear signal production and generalized logistic source. (English) Zbl 1505.35059 J. Math. Anal. Appl. 518, No. 1, Article ID 126679, 28 p. (2023). Reviewer: Christian Stinner (Darmstadt) MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{C.-J. Wang} et al., J. Math. Anal. Appl. 518, No. 1, Article ID 126679, 28 p. (2023; Zbl 1505.35059) Full Text: DOI
Ayazoglu, Rabil Global boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with variable logistic source. (English) Zbl 1496.35113 J. Math. Anal. Appl. 516, No. 1, Article ID 126482, 14 p. (2022). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B45 35K51 35K59 92C17 35A09 PDFBibTeX XMLCite \textit{R. Ayazoglu}, J. Math. Anal. Appl. 516, No. 1, Article ID 126482, 14 p. (2022; Zbl 1496.35113) Full Text: DOI
Zhao, Jie; Yi, Hong Global boundedness and large time behavior of solutions to a chemotaxis system with flux limitation. (English) Zbl 1492.92010 J. Math. Anal. Appl. 514, No. 1, Article ID 126321, 11 p. (2022). Reviewer: Neng Zhu (Nanchang) MSC: 92C17 35B40 35K51 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{H. Yi}, J. Math. Anal. Appl. 514, No. 1, Article ID 126321, 11 p. (2022; Zbl 1492.92010) Full Text: DOI
Zheng, Jiashan; Xie, Jianing Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions. (English) Zbl 1494.35003 J. Math. Anal. Appl. 514, No. 1, Article ID 126272, 23 p. (2022). Reviewer: Yuanyuan Ke (Beijing) MSC: 35A01 35K51 35K59 35Q35 92C17 PDFBibTeX XMLCite \textit{J. Zheng} and \textit{J. Xie}, J. Math. Anal. Appl. 514, No. 1, Article ID 126272, 23 p. (2022; Zbl 1494.35003) Full Text: DOI
Li, Bin; Li, Yuxiang On a chemotaxis-type Solow-Swan model for economic growth with capital-induced labor migration. (English) Zbl 1492.91207 J. Math. Anal. Appl. 511, No. 2, Article ID 126080, 17 p. (2022). MSC: 91B62 35Q91 92C17 35K40 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Li}, J. Math. Anal. Appl. 511, No. 2, Article ID 126080, 17 p. (2022; Zbl 1492.91207) Full Text: DOI
Hosono, Tatsuya; Ogawa, Takayoshi Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions. (English) Zbl 1483.35046 J. Math. Anal. Appl. 510, No. 1, Article ID 126009, 32 p. (2022). MSC: 35B44 35K45 35K59 92C17 PDFBibTeX XMLCite \textit{T. Hosono} and \textit{T. Ogawa}, J. Math. Anal. Appl. 510, No. 1, Article ID 126009, 32 p. (2022; Zbl 1483.35046) Full Text: DOI
Zhou, Xinlu; Li, Zhongping; Zhao, Jie Asymptotic behavior in an attraction-repulsion chemotaxis system with nonlinear productions. (English) Zbl 1478.35047 J. Math. Anal. Appl. 507, No. 1, Article ID 125763, 24 p. (2022). MSC: 35B40 92C17 35K59 35K51 PDFBibTeX XMLCite \textit{X. Zhou} et al., J. Math. Anal. Appl. 507, No. 1, Article ID 125763, 24 p. (2022; Zbl 1478.35047) Full Text: DOI
Liu, Suying; Wang, Li Global boundedness of a chemotaxis model with logistic growth and general indirect signal production. (English) Zbl 1483.35057 J. Math. Anal. Appl. 505, No. 1, Article ID 125613, 7 p. (2022). Reviewer: Siming He (Durham) MSC: 35B45 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Wang}, J. Math. Anal. Appl. 505, No. 1, Article ID 125613, 7 p. (2022; Zbl 1483.35057) Full Text: DOI
Yang, Yuzhu; Li, Zhongping Finite-time blow-up in a higher-dimensional quasilinear parabolic-elliptic chemotaxis system with space dependent logistic source. (English) Zbl 1473.35607 J. Math. Anal. Appl. 504, No. 2, Article ID 125410, 14 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Z. Li}, J. Math. Anal. Appl. 504, No. 2, Article ID 125410, 14 p. (2021; Zbl 1473.35607) Full Text: DOI
Dong, Ying; Peng, Yingping Global classical solutions in a chemotaxis(-Navier)-Stokes system with indirect signal production. (English) Zbl 1469.35004 J. Math. Anal. Appl. 503, No. 1, Article ID 125299, 28 p. (2021). MSC: 35A09 35K51 35K59 35Q30 92C17 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{Y. Peng}, J. Math. Anal. Appl. 503, No. 1, Article ID 125299, 28 p. (2021; Zbl 1469.35004) Full Text: DOI
Zhong, Hua Boundedness in a quasilinear two-species chemotaxis system with two chemicals in higher dimensions. (English) Zbl 1465.35380 J. Math. Anal. Appl. 500, No. 1, Article ID 125130, 22 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K61 35B40 92C17 PDFBibTeX XMLCite \textit{H. Zhong}, J. Math. Anal. Appl. 500, No. 1, Article ID 125130, 22 p. (2021; Zbl 1465.35380) Full Text: DOI
Amorim, Paulo; Telch, Bruno A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal. (English) Zbl 1470.35177 J. Math. Anal. Appl. 500, No. 1, Article ID 125128, 27 p. (2021). Reviewer: Takashi Suzuki (Osaka) MSC: 35K51 35K59 92D25 35K57 92C17 PDFBibTeX XMLCite \textit{P. Amorim} and \textit{B. Telch}, J. Math. Anal. Appl. 500, No. 1, Article ID 125128, 27 p. (2021; Zbl 1470.35177) Full Text: DOI
Pan, Xu; Wang, Liangchen Boundedness in a two-species chemotaxis system with nonlinear sensitivity and signal secretion. (English) Zbl 1462.35417 J. Math. Anal. Appl. 500, No. 1, Article ID 125078, 28 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K51 35B40 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Wang}, J. Math. Anal. Appl. 500, No. 1, Article ID 125078, 28 p. (2021; Zbl 1462.35417) Full Text: DOI
Tu, Xinyu; Qiu, Shuyan Finite-time blow-up and global boundedness for chemotaxis system with strong logistic dampening. (English) Zbl 1435.35396 J. Math. Anal. Appl. 486, No. 1, Article ID 123876, 25 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 35B44 92C17 35B06 PDFBibTeX XMLCite \textit{X. Tu} and \textit{S. Qiu}, J. Math. Anal. Appl. 486, No. 1, Article ID 123876, 25 p. (2020; Zbl 1435.35396) Full Text: DOI
Li, Feng; Li, Yuxiang Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization. (English) Zbl 1437.35078 J. Math. Anal. Appl. 483, No. 2, Article ID 123615, 15 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q31 35K57 92C17 35K51 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Li}, J. Math. Anal. Appl. 483, No. 2, Article ID 123615, 15 p. (2020; Zbl 1437.35078) Full Text: DOI
Li, Genglin; Tao, Youshan Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. (English) Zbl 1439.35101 J. Math. Anal. Appl. 481, No. 2, Article ID 123474, 14 p. (2020). Reviewer: Christian Stinner (Darmstadt) MSC: 35B45 35K51 35K58 92C17 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Tao}, J. Math. Anal. Appl. 481, No. 2, Article ID 123474, 14 p. (2020; Zbl 1439.35101) Full Text: DOI
Wang, Wei A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source. (English) Zbl 1421.35031 J. Math. Anal. Appl. 477, No. 1, 488-522 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35Q92 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{W. Wang}, J. Math. Anal. Appl. 477, No. 1, 488--522 (2019; Zbl 1421.35031) Full Text: DOI
Liu, Zhengrong; Xu, Jiao Large time behavior of solutions for density-suppressed motility system in higher dimensions. (English) Zbl 1416.35277 J. Math. Anal. Appl. 475, No. 2, 1596-1613 (2019). MSC: 35Q92 92C17 35A02 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{J. Xu}, J. Math. Anal. Appl. 475, No. 2, 1596--1613 (2019; Zbl 1416.35277) Full Text: DOI
Mizukami, Masaaki The fast signal diffusion limit in a Keller-Segel system. (English) Zbl 1414.35242 J. Math. Anal. Appl. 472, No. 2, 1313-1330 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B30 92C17 PDFBibTeX XMLCite \textit{M. Mizukami}, J. Math. Anal. Appl. 472, No. 2, 1313--1330 (2019; Zbl 1414.35242) Full Text: DOI arXiv
Li, Xie; Wang, Yilong On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics. (English) Zbl 1419.35096 J. Math. Anal. Appl. 471, No. 1-2, 584-598 (2019). Reviewer: Christian Stinner (Darmstadt) MSC: 35K55 92C17 35A01 35A09 35K51 35Q92 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Wang}, J. Math. Anal. Appl. 471, No. 1--2, 584--598 (2019; Zbl 1419.35096) Full Text: DOI
Hashira, Takahiro Properties of blow-up solutions and their initial data for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type. (English) Zbl 1401.35156 J. Math. Anal. Appl. 468, No. 2, 585-607 (2018). MSC: 35K51 35B44 35K59 35K65 35Q92 92C17 PDFBibTeX XMLCite \textit{T. Hashira}, J. Math. Anal. Appl. 468, No. 2, 585--607 (2018; Zbl 1401.35156) Full Text: DOI
Li, Jing; Wang, Yifu Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system. (English) Zbl 1395.35116 J. Math. Anal. Appl. 467, No. 2, 1066-1079 (2018). MSC: 35K51 35Q92 92C17 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Wang}, J. Math. Anal. Appl. 467, No. 2, 1066--1079 (2018; Zbl 1395.35116) Full Text: DOI
Zheng, Jiashan; Li, YanYan; Bao, Gui; Zou, Xinhua A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source. (English) Zbl 1393.35087 J. Math. Anal. Appl. 462, No. 1, 1-25 (2018). MSC: 35K51 35Q92 92C17 PDFBibTeX XMLCite \textit{J. Zheng} et al., J. Math. Anal. Appl. 462, No. 1, 1--25 (2018; Zbl 1393.35087) Full Text: DOI arXiv
Lin, Ke; Mu, Chunlai; Zhong, Hua A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions. (English) Zbl 1391.35377 J. Math. Anal. Appl. 464, No. 1, 435-455 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 PDFBibTeX XMLCite \textit{K. Lin} et al., J. Math. Anal. Appl. 464, No. 1, 435--455 (2018; Zbl 1391.35377) Full Text: DOI
Freitag, Marcel Blow-up profiles and refined extensibility criteria in quasilinear Keller-Segel systems. (English) Zbl 1516.35115 J. Math. Anal. Appl. 463, No. 2, 964-988 (2018). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Freitag}, J. Math. Anal. Appl. 463, No. 2, 964--988 (2018; Zbl 1516.35115) Full Text: DOI
Yu, Hao; Wang, Wei; Zheng, Sining Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity. (English) Zbl 1390.35381 J. Math. Anal. Appl. 461, No. 2, 1748-1770 (2018). MSC: 35Q92 92C17 35Q30 35A09 76D05 PDFBibTeX XMLCite \textit{H. Yu} et al., J. Math. Anal. Appl. 461, No. 2, 1748--1770 (2018; Zbl 1390.35381) Full Text: DOI
Xiang, Tian How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system? (English) Zbl 1380.35032 J. Math. Anal. Appl. 459, No. 2, 1172-1200 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35B44 35K51 35Q92 92C17 PDFBibTeX XMLCite \textit{T. Xiang}, J. Math. Anal. Appl. 459, No. 2, 1172--1200 (2018; Zbl 1380.35032) Full Text: DOI arXiv
Zheng, Jiashan Boundedness and global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with nonlinear logistic source. (English) Zbl 1516.35103 J. Math. Anal. Appl. 450, No. 2, 1047-1061 (2017). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. Zheng}, J. Math. Anal. Appl. 450, No. 2, 1047--1061 (2017; Zbl 1516.35103) Full Text: DOI
Zhao, Jie; Mu, Chunlai; Zhou, Deqin; Lin, Ke A parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with logistic source. (English) Zbl 1433.35203 J. Math. Anal. Appl. 455, No. 1, 650-679 (2017). MSC: 35M33 35Q92 35B40 35B44 92C17 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Math. Anal. Appl. 455, No. 1, 650--679 (2017; Zbl 1433.35203) Full Text: DOI
Black, Tobias Boundedness in a Keller-Segel system with external signal production. (English) Zbl 1355.35095 J. Math. Anal. Appl. 446, No. 1, 436-455 (2017). MSC: 35K51 35B60 35B30 35A01 PDFBibTeX XMLCite \textit{T. Black}, J. Math. Anal. Appl. 446, No. 1, 436--455 (2017; Zbl 1355.35095) Full Text: DOI arXiv
Wu, Sainan; Wu, Boying Global boundedness in a quasilinear attraction-repulsion chemotaxis model with nonlinear sensitivity. (English) Zbl 1339.35068 J. Math. Anal. Appl. 442, No. 2, 554-582 (2016). MSC: 35B45 35K51 92C17 35K58 PDFBibTeX XMLCite \textit{S. Wu} and \textit{B. Wu}, J. Math. Anal. Appl. 442, No. 2, 554--582 (2016; Zbl 1339.35068) Full Text: DOI
He, Xiao; Zheng, Sining Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source. (English) Zbl 1334.35088 J. Math. Anal. Appl. 436, No. 2, 970-982 (2016). MSC: 35K51 92C17 35B40 35B41 PDFBibTeX XMLCite \textit{X. He} and \textit{S. Zheng}, J. Math. Anal. Appl. 436, No. 2, 970--982 (2016; Zbl 1334.35088) Full Text: DOI
Yamamoto, Masakazu Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion. (English) Zbl 1335.35284 J. Math. Anal. Appl. 427, No. 2, 1027-1069 (2015). Reviewer: Gelu Paşa (Bucureşti) MSC: 35R11 35B40 35C20 PDFBibTeX XMLCite \textit{M. Yamamoto}, J. Math. Anal. Appl. 427, No. 2, 1027--1069 (2015; Zbl 1335.35284) Full Text: DOI
Lin, Ke; Mu, Chunlai; Wang, Liangchen Large-time behavior of an attraction-repulsion chemotaxis system. (English) Zbl 1310.35039 J. Math. Anal. Appl. 426, No. 1, 105-124 (2015). MSC: 35B40 35K58 92C17 PDFBibTeX XMLCite \textit{K. Lin} et al., J. Math. Anal. Appl. 426, No. 1, 105--124 (2015; Zbl 1310.35039) Full Text: DOI
Shi, Renkun; Wang, Weike Well-posedness for a model derived from an attraction-repulsion chemotaxis system. (English) Zbl 1307.35065 J. Math. Anal. Appl. 423, No. 1, 497-520 (2015). MSC: 35B44 35B40 92C17 35K58 35K15 PDFBibTeX XMLCite \textit{R. Shi} and \textit{W. Wang}, J. Math. Anal. Appl. 423, No. 1, 497--520 (2015; Zbl 1307.35065) Full Text: DOI
Jin, Hai-Yang Boundedness of the attraction-repulsion Keller-Segel system. (English) Zbl 1307.35139 J. Math. Anal. Appl. 422, No. 2, 1463-1478 (2015). MSC: 35K51 35K58 92C17 PDFBibTeX XMLCite \textit{H.-Y. Jin}, J. Math. Anal. Appl. 422, No. 2, 1463--1478 (2015; Zbl 1307.35139) Full Text: DOI
Winkler, Michael Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction. (English) Zbl 1241.35028 J. Math. Anal. Appl. 384, No. 2, 261-272 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 35B44 35B40 35B65 92C17 35K58 PDFBibTeX XMLCite \textit{M. Winkler}, J. Math. Anal. Appl. 384, No. 2, 261--272 (2011; Zbl 1241.35028) Full Text: DOI
Tao, Youshan Boundedness in a chemotaxis model with oxygen consumption by bacteria. (English) Zbl 1225.35118 J. Math. Anal. Appl. 381, No. 2, 521-529 (2011). MSC: 35K51 92C17 35K58 PDFBibTeX XMLCite \textit{Y. Tao}, J. Math. Anal. Appl. 381, No. 2, 521--529 (2011; Zbl 1225.35118) Full Text: DOI
Iwabuchi, Tsukasa Global well-posedness for Keller-Segel system in Besov type spaces. (English) Zbl 1223.35193 J. Math. Anal. Appl. 379, No. 2, 930-948 (2011). Reviewer: Sebastian Anita (Iaşi) MSC: 35K45 35Q92 92C17 35R25 PDFBibTeX XMLCite \textit{T. Iwabuchi}, J. Math. Anal. Appl. 379, No. 2, 930--948 (2011; Zbl 1223.35193) Full Text: DOI
Yamamoto, Masakazu Asymptotic expansion of solutions to the drift-diffusion equation with large initial data. (English) Zbl 1201.35050 J. Math. Anal. Appl. 369, No. 1, 144-163 (2010). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35B40 35K55 35K15 PDFBibTeX XMLCite \textit{M. Yamamoto}, J. Math. Anal. Appl. 369, No. 1, 144--163 (2010; Zbl 1201.35050) Full Text: DOI
Kowalczyk, Remigiusz; Szymańska, Zuzanna On the global existence of solutions to an aggregation model. (English) Zbl 1143.35333 J. Math. Anal. Appl. 343, No. 1, 379-398 (2008). MSC: 35K50 92C17 35K57 35K65 PDFBibTeX XMLCite \textit{R. Kowalczyk} and \textit{Z. Szymańska}, J. Math. Anal. Appl. 343, No. 1, 379--398 (2008; Zbl 1143.35333) Full Text: DOI
Kurokiba, Masaki; Ogawa, Takayoshi Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation. (English) Zbl 1145.35067 J. Math. Anal. Appl. 342, No. 2, 1052-1067 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K50 35Q60 82D37 PDFBibTeX XMLCite \textit{M. Kurokiba} and \textit{T. Ogawa}, J. Math. Anal. Appl. 342, No. 2, 1052--1067 (2008; Zbl 1145.35067) Full Text: DOI
Nagai, Toshitaka; Yamada, Tetsuya Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space. (English) Zbl 1140.35006 J. Math. Anal. Appl. 336, No. 1, 704-726 (2007). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K45 92C17 PDFBibTeX XMLCite \textit{T. Nagai} and \textit{T. Yamada}, J. Math. Anal. Appl. 336, No. 1, 704--726 (2007; Zbl 1140.35006) Full Text: DOI
Kowalczyk, R. Preventing blow up in a chemotaxis model. (English) Zbl 1065.35063 J. Math. Anal. Appl. 305, No. 2, 566-588 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B40 92C17 35K57 35B45 PDFBibTeX XMLCite \textit{R. Kowalczyk}, J. Math. Anal. Appl. 305, No. 2, 566--588 (2005; Zbl 1065.35063) Full Text: DOI
Ryu, Sang-Uk; Yagi, Atsushi Optimal control of Keller-Segel equations. (English) Zbl 0982.49006 J. Math. Anal. Appl. 256, No. 1, 45-66 (2001). Reviewer: Yves Cherruault (Paris) MSC: 49J20 49K20 92C17 PDFBibTeX XMLCite \textit{S.-U. Ryu} and \textit{A. Yagi}, J. Math. Anal. Appl. 256, No. 1, 45--66 (2001; Zbl 0982.49006) Full Text: DOI