Dávila, Juan; del Pino, Manuel; Dolbeault, Jean; Musso, Monica; Wei, Juncheng Existence and stability of infinite time blow-up in the Keller-Segel system. (English) Zbl 07892812 Arch. Ration. Mech. Anal. 248, No. 4, Paper No. 61, 154 p. (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Basharat, Nyla; Hajaiej, Hichem; Hu, Yi; Zheng, Shijun Threshold for blowup and stability for nonlinear Schrödinger equation with rotation. (English) Zbl 1512.35529 Ann. Henri Poincaré 24, No. 4, 1377-1416 (2023). MSC: 35Q55 35Q41 37K45 35P25 35B44 35B35 35A15 35B33 35A01 35A02 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pang, Yue; Wang, Xingchang; Wu, Furong Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms. (English) Zbl 1480.35045 Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4439-4463 (2021). MSC: 35B40 35B44 35B45 35L35 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Laurençot, Philippe; Stinner, Christian Mass threshold for infinite-time blowup in a chemotaxis model with split population. (English) Zbl 1470.35365 SIAM J. Math. Anal. 53, No. 3, 3385-3419 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35M33 35B44 92C17 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Runzhang; Lian, Wei; Kong, Xiangkun; Yang, Yanbing Fourth order wave equation with nonlinear strain and logarithmic nonlinearity. (English) Zbl 1421.35204 Appl. Numer. Math. 141, 185-205 (2019). MSC: 35L35 35L76 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Cieślak, Tomasz; Stinner, Christian New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models. (English) Zbl 1331.35041 J. Differ. Equations 258, No. 6, 2080-2113 (2015). MSC: 35B33 35B44 92C17 35B07 35K51 35K59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cieślak, Tomasz; Stinner, Christian Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2. (English) Zbl 1295.35123 Acta Appl. Math. 129, No. 1, 135-146 (2014). MSC: 35B44 92C17 35K51 35K59 35B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Senba, Takasi Stability of stationary solutions and existence of oscillating solutions to a chemotaxis system in high dimensional spaces. (English) Zbl 1295.35105 Funkc. Ekvacioj, Ser. Int. 56, No. 3, 339-378 (2013). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35B35 35K59 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Naito, Yūki; Senba, Takasi Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space. (English) Zbl 1267.35049 Commun. Pure Appl. Anal. 12, No. 5, 1861-1880 (2013). MSC: 35B44 35K57 92C17 35B07 × Cite Format Result Cite Review PDF Full Text: DOI
Cieślak, Tomasz; Stinner, Christian Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions. (English) Zbl 1252.35087 J. Differ. Equations 252, No. 10, 5832-5851 (2012). MSC: 35B44 35K55 92C17 35K51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Takashi Semilinear parabolic equation on bounded domain with critical Sobolev exponent. (English) Zbl 1201.35116 Indiana Univ. Math. J. 57, No. 7, 3365-3396 (2008). Reviewer: Sen-Zhong Huang (Hamburg) MSC: 35K58 35B33 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Senba, Takasi; Suzuki, Takashi Blowup behavior of solutions to the rescaled Jäger-Luckhaus system. (English) Zbl 1035.35007 Adv. Differ. Equ. 8, No. 7, 787-820 (2003). Reviewer: Jiahong Wu (Stillwater) MSC: 35B05 35K55 35B40 × Cite Format Result Cite Review PDF
Yin, Zhaoyang On the Cauchy problem for a nonlinearly dispersive wave equation. (English) Zbl 1021.35100 J. Nonlinear Math. Phys. 10, No. 1, 10-15 (2003). MSC: 35Q53 37K10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License