Wang, Zhi-An; Yang, Anita; Zhao, Kun Wave propagation and stabilization in the Boussinesq-Burgers system. (English) Zbl 1509.35252 Physica D 447, Article ID 133687, 13 p. (2023). MSC: 35Q35 35B40 35B45 PDFBibTeX XMLCite \textit{Z.-A. Wang} et al., Physica D 447, Article ID 133687, 13 p. (2023; Zbl 1509.35252) Full Text: DOI
Xue, Ling; Zhang, Min; Zhao, Kun; Zheng, Xiaoming Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks. (English) Zbl 1502.35183 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106913, 14 p. (2023). MSC: 35Q92 35B35 PDFBibTeX XMLCite \textit{L. Xue} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106913, 14 p. (2023; Zbl 1502.35183) Full Text: DOI
Xue, Ling; Zhang, Min; Zhao, Kun; Zheng, Xiaoming Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions. (English) Zbl 1512.35098 Electron. Res. Arch. 30, No. 12, 4530-4552 (2022). MSC: 35B40 35K51 35K58 92C17 PDFBibTeX XMLCite \textit{L. Xue} et al., Electron. Res. Arch. 30, No. 12, 4530--4552 (2022; Zbl 1512.35098) Full Text: DOI
Zeng, Yanni; Zhao, Kun Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states. (English) Zbl 1496.35095 J. Differ. Equations 336, 1-43 (2022). MSC: 35B40 35K45 35L45 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{K. Zhao}, J. Differ. Equations 336, 1--43 (2022; Zbl 1496.35095) Full Text: DOI
Wang, Dehua; Wang, Zhian; Zhao, Kun Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions. (English) Zbl 1467.35056 Indiana Univ. Math. J. 70, No. 1, 1-47 (2021). MSC: 35B40 35B25 35K45 35K58 35L65 92C17 PDFBibTeX XMLCite \textit{D. Wang} et al., Indiana Univ. Math. J. 70, No. 1, 1--47 (2021; Zbl 1467.35056) Full Text: DOI
Zhu, Neng; Liu, Zhengrong; Wang, Fang; Zhao, Kun Asymptotic dynamics of a system of conservation laws from chemotaxis. (English) Zbl 1462.35088 Discrete Contin. Dyn. Syst. 41, No. 2, 813-847 (2021). Reviewer: Anna Zhigun (Belfast) MSC: 35B40 35K57 35Q92 92C17 35K45 35D35 PDFBibTeX XMLCite \textit{N. Zhu} et al., Discrete Contin. Dyn. Syst. 41, No. 2, 813--847 (2021; Zbl 1462.35088) Full Text: DOI
Zeng, Yanni; Zhao, Kun Recent results for the logarithmic Keller-Segel-Fisher/KPP system. (English) Zbl 1431.35216 Bol. Soc. Parana. Mat. (3) 38, No. 7, 37-48 (2020). MSC: 35Q92 35K57 35A01 35B40 35M31 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{K. Zhao}, Bol. Soc. Parana. Mat. (3) 38, No. 7, 37--48 (2020; Zbl 1431.35216) Full Text: Link
Zeng, Yanni; Zhao, Kun Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate. (English) Zbl 1439.35496 J. Differ. Equations 268, No. 4, 1379-1411 (2020); corrigendum ibid. 269, No. 7, 6359-6363 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 92C17 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{K. Zhao}, J. Differ. Equations 268, No. 4, 1379--1411 (2020; Zbl 1439.35496) Full Text: DOI
Zhu, Neng; Liu, Zhengrong; Wang, Fang; Zhao, Kun Explicit decay rates for a generalized Boussinesq-Burgers system. (English) Zbl 1431.35144 Appl. Math. Lett. 100, Article ID 106054, 7 p. (2020). MSC: 35Q35 76B15 35B40 35A09 PDFBibTeX XMLCite \textit{N. Zhu} et al., Appl. Math. Lett. 100, Article ID 106054, 7 p. (2020; Zbl 1431.35144) Full Text: DOI
Zhu, Neng; Liu, Zhengrong; Zhao, Kun Non blowup of a generalized Boussinesq-Burgers system with nonlinear dispersion relation and large data. (English) Zbl 1451.35029 Physica D 392, 81-98 (2019). MSC: 35B40 35Q35 35A09 35A01 35A02 76B15 PDFBibTeX XMLCite \textit{N. Zhu} et al., Physica D 392, 81--98 (2019; Zbl 1451.35029) Full Text: DOI
Guan, Li; Li, Dong; Wang, Ke; Zhao, Kun On a class of nonlocal SIR models. (English) Zbl 1415.92177 J. Math. Biol. 78, No. 6, 1581-1604 (2019). MSC: 92D30 PDFBibTeX XMLCite \textit{L. Guan} et al., J. Math. Biol. 78, No. 6, 1581--1604 (2019; Zbl 1415.92177) Full Text: DOI arXiv
Peng, Hongyun; Wang, Zhi-An; Zhao, Kun; Zhu, Changjiang Boundary layers and stabilization of the singular Keller-Segel system. (English) Zbl 1405.92033 Kinet. Relat. Models 11, No. 5, 1085-1123 (2018). MSC: 92C17 35Q92 35K57 35A01 35B40 35B44 PDFBibTeX XMLCite \textit{H. Peng} et al., Kinet. Relat. Models 11, No. 5, 1085--1123 (2018; Zbl 1405.92033) Full Text: DOI
Martinez, Vincent R.; Wang, Zhian; Zhao, Kun Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology. (English) Zbl 1402.35286 Indiana Univ. Math. J. 67, No. 4, 1383-1424 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 92C17 PDFBibTeX XMLCite \textit{V. R. Martinez} et al., Indiana Univ. Math. J. 67, No. 4, 1383--1424 (2018; Zbl 1402.35286) Full Text: DOI Link
Zhu, Neng; Liu, Zhengrong; Martinez, Vincent R.; Zhao, Kun Global Cauchy problem of a system of parabolic conservation laws arising from a Keller-Segel type chemotaxis model. (English) Zbl 1404.35468 SIAM J. Math. Anal. 50, No. 5, 5380-5425 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q92 35B40 92C17 35D30 35D35 PDFBibTeX XMLCite \textit{N. Zhu} et al., SIAM J. Math. Anal. 50, No. 5, 5380--5425 (2018; Zbl 1404.35468) Full Text: DOI
Zhu, Neng; Liu, Zhengrong; Zhao, Kun On the Boussinesq-Burgers equations driven by dynamic boundary conditions. (English) Zbl 1378.35255 J. Differ. Equations 264, No. 3, 2287-2309 (2018). MSC: 35Q35 35Q51 PDFBibTeX XMLCite \textit{N. Zhu} et al., J. Differ. Equations 264, No. 3, 2287--2309 (2018; Zbl 1378.35255) Full Text: DOI
Hou, Qianqian; Wang, Zhi-An; Zhao, Kun Boundary layer problem on a hyperbolic system arising from chemotaxis. (English) Zbl 1347.35021 J. Differ. Equations 261, No. 9, 5035-5070 (2016). MSC: 35B25 35B40 35B44 35Q92 92C17 PDFBibTeX XMLCite \textit{Q. Hou} et al., J. Differ. Equations 261, No. 9, 5035--5070 (2016; Zbl 1347.35021) Full Text: DOI
Li, Huicong; Zhao, Kun Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis. (English) Zbl 1327.35167 J. Differ. Equations 258, No. 2, 302-338 (2015). Reviewer: Guy Katriel (Haifa) MSC: 35K55 35K57 35K45 92C15 92C17 PDFBibTeX XMLCite \textit{H. Li} and \textit{K. Zhao}, J. Differ. Equations 258, No. 2, 302--338 (2015; Zbl 1327.35167) Full Text: DOI
Fan, Jishan; Zhao, Kun Blow up criterion for a hyperbolic-parabolic system arising from chemotaxis. (English) Zbl 1252.35088 J. Math. Anal. Appl. 394, No. 2, 687-695 (2012). MSC: 35B44 92C17 PDFBibTeX XMLCite \textit{J. Fan} and \textit{K. Zhao}, J. Math. Anal. Appl. 394, No. 2, 687--695 (2012; Zbl 1252.35088) Full Text: DOI
Li, Dong; Li, Tong; Zhao, Kun On a hyperbolic-parabolic system modeling chemotaxis. (English) Zbl 1230.35070 Math. Models Methods Appl. Sci. 21, No. 8, 1631-1650 (2011). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 35M30 35A01 35B40 35B44 35B65 35Q92 92C17 PDFBibTeX XMLCite \textit{D. Li} et al., Math. Models Methods Appl. Sci. 21, No. 8, 1631--1650 (2011; Zbl 1230.35070) Full Text: DOI