Li, Mingxiang; Xu, Xingwang Asymptotic behavior of conformal metrics on torus. (English) Zbl 07815100 Discrete Contin. Dyn. Syst. 44, No. 5, 1376-1394 (2024). MSC: 35J05 35J91 35J58 PDFBibTeX XMLCite \textit{M. Li} and \textit{X. Xu}, Discrete Contin. Dyn. Syst. 44, No. 5, 1376--1394 (2024; Zbl 07815100) Full Text: DOI
Pierre, Michel; Schmitt, Didier Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth. (English) Zbl 1518.35152 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1686-1701 (2023). MSC: 35B44 35K51 35K57 35K91 PDFBibTeX XMLCite \textit{M. Pierre} and \textit{D. Schmitt}, Discrete Contin. Dyn. Syst. 43, No. 3--4, 1686--1701 (2023; Zbl 1518.35152) Full Text: DOI
Ichida, Yu Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach. (English) Zbl 1518.92025 Discrete Contin. Dyn. Syst. 43, No. 5, 1975-2001 (2023). Reviewer: Christian Stinner (Darmstadt) MSC: 92C17 35K55 35B09 35B40 PDFBibTeX XMLCite \textit{Y. Ichida}, Discrete Contin. Dyn. Syst. 43, No. 5, 1975--2001 (2023; Zbl 1518.92025) Full Text: DOI
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo Asymptotic behavior of minimal solutions of \(-\Delta u=\lambda f(u)\) as \(\lambda\to-\infty\). (English) Zbl 1467.35171 Discrete Contin. Dyn. Syst. 41, No. 2, 681-700 (2021). Reviewer: Tatiana Savina (Athens) MSC: 35J91 35J25 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{L. Battaglia} et al., Discrete Contin. Dyn. Syst. 41, No. 2, 681--700 (2021; Zbl 1467.35171) Full Text: DOI arXiv
Wang, Weike; Wang, Yucheng Global existence and large time behavior for the chemotaxis-shallow water system in a bounded domain. (English) Zbl 1448.35413 Discrete Contin. Dyn. Syst. 40, No. 11, 6379-6409 (2020). MSC: 35Q35 35Q92 92C17 76N10 35A01 35B40 35D35 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Wang}, Discrete Contin. Dyn. Syst. 40, No. 11, 6379--6409 (2020; Zbl 1448.35413) Full Text: DOI
Huang, Jiapeng; Jin, Chunhua Time periodic solution to a coupled chemotaxis-fluid model with porous medium diffusion. (English) Zbl 1445.35286 Discrete Contin. Dyn. Syst. 40, No. 9, 5415-5439 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35Q35 35B10 92C17 76D07 PDFBibTeX XMLCite \textit{J. Huang} and \textit{C. Jin}, Discrete Contin. Dyn. Syst. 40, No. 9, 5415--5439 (2020; Zbl 1445.35286) Full Text: DOI
Mori, Tatsuki; Kuto, Kousuke; Tsujikawa, Tohru; Yotsutani, Shoji Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation. (English) Zbl 1445.34063 Discrete Contin. Dyn. Syst. 40, No. 8, 4907-4925 (2020). Reviewer: Ruyun Ma (Lanzhou) MSC: 34C23 34B15 37G40 PDFBibTeX XMLCite \textit{T. Mori} et al., Discrete Contin. Dyn. Syst. 40, No. 8, 4907--4925 (2020; Zbl 1445.34063) Full Text: DOI
Tambue, Antoine; Mukam, Jean Daniel Magnus-type integrator for non-autonomous SPDEs driven by multiplicative noise. (English) Zbl 07207779 Discrete Contin. Dyn. Syst. 40, No. 8, 4597-4624 (2020). MSC: 65C30 65J08 65M60 65M12 65M15 65J15 PDFBibTeX XMLCite \textit{A. Tambue} and \textit{J. D. Mukam}, Discrete Contin. Dyn. Syst. 40, No. 8, 4597--4624 (2020; Zbl 07207779) Full Text: DOI arXiv
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization. (English) Zbl 1437.35530 Discrete Contin. Dyn. Syst. 40, No. 4, 2135-2163 (2020). MSC: 35Q30 35K57 76D05 92C17 35B40 35B65 76D03 35Q92 PDFBibTeX XMLCite \textit{M. Chae} et al., Discrete Contin. Dyn. Syst. 40, No. 4, 2135--2163 (2020; Zbl 1437.35530) Full Text: DOI arXiv
Morita, Yoshihisa; Sakamoto, Kunimochi Turing type instability in a diffusion model with mass transport on the boundary. (English) Zbl 1435.35044 Discrete Contin. Dyn. Syst. 40, No. 6, 3813-3836 (2020). MSC: 35B32 35B35 35K51 35K57 35P15 PDFBibTeX XMLCite \textit{Y. Morita} and \textit{K. Sakamoto}, Discrete Contin. Dyn. Syst. 40, No. 6, 3813--3836 (2020; Zbl 1435.35044) Full Text: DOI
Kan-On, Yukio On the limiting system in the Shigesada, Kawasaki and Teramoto model with large cross-diffusion rates. (English) Zbl 1435.35391 Discrete Contin. Dyn. Syst. 40, No. 6, 3561-3570 (2020). MSC: 35Q92 92D25 PDFBibTeX XMLCite \textit{Y. Kan-On}, Discrete Contin. Dyn. Syst. 40, No. 6, 3561--3570 (2020; Zbl 1435.35391) Full Text: DOI
Jin, Hai-Yang; Wang, Zhi-An Global stabilization of the full attraction-repulsion Keller-Segel system. (English) Zbl 1439.35063 Discrete Contin. Dyn. Syst. 40, No. 6, 3509-3527 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{H.-Y. Jin} and \textit{Z.-A. Wang}, Discrete Contin. Dyn. Syst. 40, No. 6, 3509--3527 (2020; Zbl 1439.35063) Full Text: DOI arXiv
Ei, Shin-Ichiro; Tzeng, Shyuh-Yaur Spike solutions for a mass conservation reaction-diffusion system. (English) Zbl 1435.35029 Discrete Contin. Dyn. Syst. 40, No. 6, 3357-3374 (2020). MSC: 35B25 35J50 35K57 35B36 PDFBibTeX XMLCite \textit{S.-I. Ei} and \textit{S.-Y. Tzeng}, Discrete Contin. Dyn. Syst. 40, No. 6, 3357--3374 (2020; Zbl 1435.35029) Full Text: DOI
Bartolucci, Daniele; Gui, Changfeng; Hu, Yeyao; Jevnikar, Aleks; Yang, Wen Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions. (English) Zbl 1437.35328 Discrete Contin. Dyn. Syst. 40, No. 6, 3093-3116 (2020). MSC: 35J61 35Q35 35Q82 81T13 PDFBibTeX XMLCite \textit{D. Bartolucci} et al., Discrete Contin. Dyn. Syst. 40, No. 6, 3093--3116 (2020; Zbl 1437.35328) Full Text: DOI arXiv
Chen, Hua; Li, Jian-Meng; Wang, Kelei On the vanishing viscosity limit of a chemotaxis model. (English) Zbl 1431.35062 Discrete Contin. Dyn. Syst. 40, No. 3, 1963-1987 (2020). MSC: 35K51 35Q92 35M12 92C17 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst. 40, No. 3, 1963--1987 (2020; Zbl 1431.35062) Full Text: DOI
Bao, Lianzhang; Shen, Wenxian Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary, I. Asymptotic dynamics in fixed unbounded domain. (English) Zbl 1427.35368 Discrete Contin. Dyn. Syst. 40, No. 2, 1107-1130 (2020). MSC: 35R35 92C17 35Q92 35J65 35K20 92B05 PDFBibTeX XMLCite \textit{L. Bao} and \textit{W. Shen}, Discrete Contin. Dyn. Syst. 40, No. 2, 1107--1130 (2020; Zbl 1427.35368) Full Text: DOI arXiv
Baraket, Sami; Sâanouni, Soumaya; Trabelsi, Nihed Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case. (English) Zbl 1433.35071 Discrete Contin. Dyn. Syst. 40, No. 2, 1013-1063 (2020). MSC: 35J57 35B53 PDFBibTeX XMLCite \textit{S. Baraket} et al., Discrete Contin. Dyn. Syst. 40, No. 2, 1013--1063 (2020; Zbl 1433.35071) Full Text: DOI
Jiang, Jie Global stability of Keller-Segel systems in critical Lebesgue spaces. (English) Zbl 1427.35108 Discrete Contin. Dyn. Syst. 40, No. 1, 609-634 (2020). MSC: 35K51 35K59 35Q92 92C17 PDFBibTeX XMLCite \textit{J. Jiang}, Discrete Contin. Dyn. Syst. 40, No. 1, 609--634 (2020; Zbl 1427.35108) Full Text: DOI arXiv
Fazly, Mostafa Regularity of extremal solutions of nonlocal elliptic systems. (English) Zbl 1427.35306 Discrete Contin. Dyn. Syst. 40, No. 1, 107-131 (2020). MSC: 35R09 35R11 35B45 35B65 35J50 PDFBibTeX XMLCite \textit{M. Fazly}, Discrete Contin. Dyn. Syst. 40, No. 1, 107--131 (2020; Zbl 1427.35306) Full Text: DOI arXiv
Deng, Shengbing Construction solutions for Neumann problem with Hénon term in \( \mathbb{R}^2 \). (English) Zbl 1416.35118 Discrete Contin. Dyn. Syst. 39, No. 4, 2233-2253 (2019). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{S. Deng}, Discrete Contin. Dyn. Syst. 39, No. 4, 2233--2253 (2019; Zbl 1416.35118) Full Text: DOI
Freitag, Marcel Global existence and boundedness in a chemorepulsion system with superlinear diffusion. (English) Zbl 1400.35160 Discrete Contin. Dyn. Syst. 38, No. 11, 5943-5961 (2018). MSC: 35K51 35A09 35B44 35K35 35B33 92C17 PDFBibTeX XMLCite \textit{M. Freitag}, Discrete Contin. Dyn. Syst. 38, No. 11, 5943--5961 (2018; Zbl 1400.35160) Full Text: DOI
Zhong, Hua; Mu, Chunlai; Lin, Ke Global weak solution and boundedness in a three-dimensional competing chemotaxis. (English) Zbl 1397.92106 Discrete Contin. Dyn. Syst. 38, No. 8, 3875-3898 (2018). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{H. Zhong} et al., Discrete Contin. Dyn. Syst. 38, No. 8, 3875--3898 (2018; Zbl 1397.92106) Full Text: DOI
Tu, Xinyu; Mu, Chunlai; Zheng, Pan; Lin, Ke Global dynamics in a two-species chemotaxis-competition system with two signals. (English) Zbl 1396.35032 Discrete Contin. Dyn. Syst. 38, No. 7, 3617-3636 (2018). MSC: 35K51 35Q92 35B35 35B34 35K55 92C17 PDFBibTeX XMLCite \textit{X. Tu} et al., Discrete Contin. Dyn. Syst. 38, No. 7, 3617--3636 (2018; Zbl 1396.35032) Full Text: DOI
Jin, Hai-Yang Boundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitivity. (English) Zbl 1397.35029 Discrete Contin. Dyn. Syst. 38, No. 7, 3595-3616 (2018). MSC: 35B40 35A01 35K55 35Q92 92C17 35K51 PDFBibTeX XMLCite \textit{H.-Y. Jin}, Discrete Contin. Dyn. Syst. 38, No. 7, 3595--3616 (2018; Zbl 1397.35029) Full Text: DOI
Jin, Chunhua Global classical solution and stability to a coupled chemotaxis-fluid model with logistic source. (English) Zbl 1397.92094 Discrete Contin. Dyn. Syst. 38, No. 7, 3547-3566 (2018). MSC: 92C17 35Q92 35B35 PDFBibTeX XMLCite \textit{C. Jin}, Discrete Contin. Dyn. Syst. 38, No. 7, 3547--3566 (2018; Zbl 1397.92094) Full Text: DOI
Lankeit, Johannes; Wang, Yulan Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. (English) Zbl 1375.35575 Discrete Contin. Dyn. Syst. 37, No. 12, 6099-6121 (2017). MSC: 35Q92 35K55 35A01 35B40 35D30 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{Y. Wang}, Discrete Contin. Dyn. Syst. 37, No. 12, 6099--6121 (2017; Zbl 1375.35575) Full Text: DOI arXiv
Pistoia, Angela; Ricciardi, Tonia Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents. (English) Zbl 1368.35144 Discrete Contin. Dyn. Syst. 37, No. 11, 5651-5692 (2017). MSC: 35J91 35A01 35B44 35B30 PDFBibTeX XMLCite \textit{A. Pistoia} and \textit{T. Ricciardi}, Discrete Contin. Dyn. Syst. 37, No. 11, 5651--5692 (2017; Zbl 1368.35144) Full Text: DOI arXiv
Yang, Haitao; Zhang, Yibin Boundary bubbling solutions for a planar elliptic problem with exponential Neumann data. (English) Zbl 1384.35021 Discrete Contin. Dyn. Syst. 37, No. 10, 5467-5502 (2017). Reviewer: Josef Diblík (Brno) MSC: 35J25 35J65 PDFBibTeX XMLCite \textit{H. Yang} and \textit{Y. Zhang}, Discrete Contin. Dyn. Syst. 37, No. 10, 5467--5502 (2017; Zbl 1384.35021) Full Text: DOI
Mimura, Yoshifumi Critical mass of degenerate Keller-Segel system with no-flux and Neumann boundary conditions. (English) Zbl 1364.35168 Discrete Contin. Dyn. Syst. 37, No. 3, 1603-1630 (2017). MSC: 35K65 35B33 47J30 35K40 PDFBibTeX XMLCite \textit{Y. Mimura}, Discrete Contin. Dyn. Syst. 37, No. 3, 1603--1630 (2017; Zbl 1364.35168) Full Text: DOI
Tan, Zhong; Tong, Leilei Asymptotic stability of stationary solutions for magnetohydrodynamic equations. (English) Zbl 1361.35028 Discrete Contin. Dyn. Syst. 37, No. 6, 3435-3465 (2017). MSC: 35B35 35Q60 35Q35 76W05 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Discrete Contin. Dyn. Syst. 37, No. 6, 3435--3465 (2017; Zbl 1361.35028) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard Onofri inequalities and rigidity results. (English) Zbl 1359.58015 Discrete Contin. Dyn. Syst. 37, No. 6, 3059-3078 (2017). MSC: 58J35 58J05 53C21 35J60 35K55 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 3059--3078 (2017; Zbl 1359.58015) Full Text: DOI arXiv
Ferreira, Jorge; Borges de Oliveira, Hermenegildo Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. (English) Zbl 1357.35186 Discrete Contin. Dyn. Syst. 37, No. 5, 2431-2453 (2017). MSC: 35K57 35D30 35D35 35B44 35B35 PDFBibTeX XMLCite \textit{J. Ferreira} and \textit{H. Borges de Oliveira}, Discrete Contin. Dyn. Syst. 37, No. 5, 2431--2453 (2017; Zbl 1357.35186) Full Text: DOI
Qin, Cong; Lai, Xin; Hao, Jianghao; Chen, Xinfu; Zhang, Yajing Dynamics of spike in a Keller-Segel’s minimal chemotaxis model. (English) Zbl 1364.35128 Discrete Contin. Dyn. Syst. 37, No. 2, 1109-1127 (2017). MSC: 35K51 35B40 92C17 92D15 PDFBibTeX XMLCite \textit{C. Qin} et al., Discrete Contin. Dyn. Syst. 37, No. 2, 1109--1127 (2017; Zbl 1364.35128) Full Text: DOI
Wang, Ke; Wang, Qi; Yu, Feng Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis. (English) Zbl 1357.35044 Discrete Contin. Dyn. Syst. 37, No. 1, 505-543 (2017). MSC: 35B36 92D25 35B10 35B32 35B35 35J47 35K20 35Q92 PDFBibTeX XMLCite \textit{K. Wang} et al., Discrete Contin. Dyn. Syst. 37, No. 1, 505--543 (2017; Zbl 1357.35044) Full Text: DOI arXiv
Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek Finite-time blowup of solutions to some activator-inhibitor systems. (English) Zbl 1361.35087 Discrete Contin. Dyn. Syst. 36, No. 9, 4997-5010 (2016). Reviewer: Adrian Muntean (Karlstad) MSC: 35K57 35B44 35B40 PDFBibTeX XMLCite \textit{G. Karch} et al., Discrete Contin. Dyn. Syst. 36, No. 9, 4997--5010 (2016; Zbl 1361.35087) Full Text: DOI
Calvez, Vincent; Gallouët, Thomas O. Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up. (English) Zbl 1337.35154 Discrete Contin. Dyn. Syst. 36, No. 3, 1175-1208 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 65M75 35B44 35K55 92C17 PDFBibTeX XMLCite \textit{V. Calvez} and \textit{T. O. Gallouët}, Discrete Contin. Dyn. Syst. 36, No. 3, 1175--1208 (2016; Zbl 1337.35154) Full Text: DOI arXiv
Wang, Jinhuan; Chen, Li; Hong, Liang Parabolic elliptic type Keller-Segel system on the whole space case. (English) Zbl 1326.35408 Discrete Contin. Dyn. Syst. 36, No. 2, 1061-1084 (2016). MSC: 35Q92 35B45 35A01 35B44 92C17 35B33 35M10 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst. 36, No. 2, 1061--1084 (2016; Zbl 1326.35408) Full Text: DOI
Kimura, Katsutaka; Hoshino, Hiroki; Kubo, Akisato Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model. (English) Zbl 1342.35410 Discrete Contin. Dyn. Syst. 2015, Suppl., 733-744 (2015). MSC: 35Q92 35L53 35K15 35B40 92C50 PDFBibTeX XMLCite \textit{K. Kimura} et al., Discrete Contin. Dyn. Syst. 2015, 733--744 (2015; Zbl 1342.35410) Full Text: DOI
Li, Xie; Xiang, Zhaoyin Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source. (English) Zbl 1327.35151 Discrete Contin. Dyn. Syst. 35, No. 8, 3503-3531 (2015). Reviewer: Johannes Lankeit (Paderborn) MSC: 35K35 92C17 35K59 35Q92 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Xiang}, Discrete Contin. Dyn. Syst. 35, No. 8, 3503--3531 (2015; Zbl 1327.35151) Full Text: DOI
Kavallaris, Nikos I.; Lacey, Andrew A.; Nikolopoulos, Christos V.; Tzanetis, Dimitrios E. On the quenching behaviour of a semilinear wave equation modelling MEMS technology. (English) Zbl 1304.35441 Discrete Contin. Dyn. Syst. 35, No. 3, 1009-1037 (2015). MSC: 35L81 74H35 74G55 74K15 35L71 35L20 PDFBibTeX XMLCite \textit{N. I. Kavallaris} et al., Discrete Contin. Dyn. Syst. 35, No. 3, 1009--1037 (2015; Zbl 1304.35441) Full Text: DOI