Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. (English) Zbl 1522.65165 J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023). MSC: 65M60 65M06 65N30 35B09 35B44 35R09 92C17 92C15 35Q92 92-08 PDFBibTeX XMLCite \textit{D. Acosta-Soba} et al., J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023; Zbl 1522.65165) Full Text: DOI arXiv OA License
Khalil, Nancy; Iron, David; Kolokolnikov, Theodore Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations. (English) Zbl 1501.35412 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1185-1214 (2023). MSC: 35Q92 92E20 92C37 35K57 35B32 35B40 35B20 35B35 35C20 35E05 37L10 34E10 35R07 PDFBibTeX XMLCite \textit{N. Khalil} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1185--1214 (2023; Zbl 1501.35412) Full Text: DOI
Di Marino, Simone; Santambrogio, Filippo JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: \(L^p\) and Sobolev bounds. (English) Zbl 1510.35078 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1485-1517 (2022). MSC: 35B45 35A35 35Q84 92C17 PDFBibTeX XMLCite \textit{S. Di Marino} and \textit{F. Santambrogio}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1485--1517 (2022; Zbl 1510.35078) Full Text: DOI arXiv
Winkler, Michael Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. (English) Zbl 1491.35055 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 108, 25 p. (2022). Reviewer: Christian Stinner (Darmstadt) MSC: 35B40 35B36 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 108, 25 p. (2022; Zbl 1491.35055) Full Text: DOI
Bonheure, Denis; Casteras, Jean-Baptiste; Román, Carlos Unbounded mass radial solutions for the Keller-Segel equation in the disk. (English) Zbl 1472.35060 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 198, 30 p. (2021). MSC: 35B44 35B40 35B45 35J20 35J61 92C17 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 198, 30 p. (2021; Zbl 1472.35060) Full Text: DOI arXiv
Macías-Díaz, Jorge E.; Medina-Guevara, María G.; Vargas-Rodríguez, Héctor Exact solutions of non-linear Klein-Gordon equation with non-constant coefficients through the trial equation method. (English) Zbl 1466.81014 J. Math. Chem. 59, No. 3, 827-839 (2021). MSC: 81Q05 81R20 35Q41 35Q55 81U15 35P30 92C55 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Math. Chem. 59, No. 3, 827--839 (2021; Zbl 1466.81014) Full Text: DOI
Xu, Xining; Zhang, Yunxin Motility and energetics of randomly flashing ratchets. (English) Zbl 1504.82038 J. Stat. Mech. Theory Exp. 2021, No. 3, Article ID 033503, 21 p. (2021). MSC: 82C31 60J70 92C45 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Y. Zhang}, J. Stat. Mech. Theory Exp. 2021, No. 3, Article ID 033503, 21 p. (2021; Zbl 1504.82038) Full Text: DOI arXiv
Chen, Lin; Kong, Fanze; Wang, Qi Stationary ring and concentric-ring solutions of the Keller-Segel model with quadratic diffusion. (English) Zbl 1454.35027 SIAM J. Math. Anal. 52, No. 5, 4565-4615 (2020). Reviewer: Neng Zhu (Nanchang) MSC: 35B36 35B40 35K57 35Q92 92C17 35K51 35B32 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Math. Anal. 52, No. 5, 4565--4615 (2020; Zbl 1454.35027) Full Text: DOI arXiv
Shen, Jie; Xu, Jie Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations. (English) Zbl 1440.65101 SIAM J. Numer. Anal. 58, No. 3, 1674-1695 (2020). MSC: 65M06 65M12 35K51 35K59 35Q92 92C17 92-08 PDFBibTeX XMLCite \textit{J. Shen} and \textit{J. Xu}, SIAM J. Numer. Anal. 58, No. 3, 1674--1695 (2020; Zbl 1440.65101) Full Text: DOI
Bastiaansen, Robbin; Doelman, Arjen; van Langevelde, Frank; Rottschäfer, Vivi Modeling honey bee colonies in winter using a Keller-Segel model with a sign-changing chemotactic coefficient. (English) Zbl 1439.35258 SIAM J. Appl. Math. 80, No. 2, 839-863 (2020). MSC: 35K57 92D40 34A05 34B15 35Q92 PDFBibTeX XMLCite \textit{R. Bastiaansen} et al., SIAM J. Appl. Math. 80, No. 2, 839--863 (2020; Zbl 1439.35258) Full Text: DOI arXiv
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. (English) Zbl 1475.35036 SIAM J. Appl. Math. 80, No. 1, 232-261 (2020). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B35 35B36 35B40 35J57 35K65 82C26 92C17 92D25 34B08 34B15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Appl. Math. 80, No. 1, 232--261 (2020; Zbl 1475.35036) Full Text: DOI arXiv
Winkler, Michael How strong singularities can be regularized by logistic degradation in the Keller-Segel system? (English) Zbl 1437.35004 Ann. Mat. Pura Appl. (4) 198, No. 5, 1615-1637 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35A20 92C17 35B40 35B65 PDFBibTeX XMLCite \textit{M. Winkler}, Ann. Mat. Pura Appl. (4) 198, No. 5, 1615--1637 (2019; Zbl 1437.35004) Full Text: DOI
Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid’ová, M. A hybrid mass transport finite element method for Keller-Segel type systems. (English) Zbl 1457.65100 J. Sci. Comput. 80, No. 3, 1777-1804 (2019). MSC: 65M60 92C17 92C37 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Sci. Comput. 80, No. 3, 1777--1804 (2019; Zbl 1457.65100) Full Text: DOI arXiv
Epshteyn, Yekaterina; Xia, Qing Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D. (English) Zbl 1418.92003 J. Sci. Comput. 80, No. 1, 26-59 (2019). MSC: 92-08 65M06 65M70 65M99 92C17 35K57 PDFBibTeX XMLCite \textit{Y. Epshteyn} and \textit{Q. Xia}, J. Sci. Comput. 80, No. 1, 26--59 (2019; Zbl 1418.92003) Full Text: DOI arXiv
Guo, Li; Li, Xingjie Helen; Yang, Yang Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model. (English) Zbl 1419.65061 J. Sci. Comput. 78, No. 3, 1387-1404 (2019). MSC: 65M60 65M20 65L06 35Q92 92C17 35B44 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Sci. Comput. 78, No. 3, 1387--1404 (2019; Zbl 1419.65061) Full Text: DOI
Ao, Weiwei; Wei, Juncheng; Winter, Matthias Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system. (English. French summary) Zbl 1406.35023 J. Math. Pures Appl. (9) 121, 1-46 (2019). MSC: 35B25 35B35 92C15 35B40 35B36 35K57 PDFBibTeX XMLCite \textit{W. Ao} et al., J. Math. Pures Appl. (9) 121, 1--46 (2019; Zbl 1406.35023) Full Text: DOI arXiv
Shubina, M. V. Exact traveling wave solutions of one-dimensional parabolic-parabolic models of chemotaxis. (English) Zbl 1402.35064 Russ. J. Math. Phys. 25, No. 3, 383-395 (2018). MSC: 35C07 92C17 35K40 35K57 PDFBibTeX XMLCite \textit{M. V. Shubina}, Russ. J. Math. Phys. 25, No. 3, 383--395 (2018; Zbl 1402.35064) Full Text: DOI arXiv
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela Sorting phenomena in a mathematical model for two mutually attracting/repelling species. (English) Zbl 1393.35248 SIAM J. Math. Anal. 50, No. 3, 3210-3250 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q92 35B36 35B40 35K65 35R09 92D25 PDFBibTeX XMLCite \textit{M. Burger} et al., SIAM J. Math. Anal. 50, No. 3, 3210--3250 (2018; Zbl 1393.35248) Full Text: DOI arXiv
Avitabile, Daniele; Breña-Medina, Victor F.; Ward, Michael J. Spot dynamics in a reaction-diffusion model of plant root hair initiation. (English) Zbl 1383.92048 SIAM J. Appl. Math. 78, No. 1, 291-319 (2018). MSC: 92C80 92C15 35K57 65N25 PDFBibTeX XMLCite \textit{D. Avitabile} et al., SIAM J. Appl. Math. 78, No. 1, 291--319 (2018; Zbl 1383.92048) Full Text: DOI arXiv
Wei, Juncheng; Winter, Matthias; Yang, Wen Stable spike clusters for the precursor Gierer-Meinhardt system in \(\mathbb {R}^2\). (English) Zbl 1386.35166 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 142, 40 p. (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35K51 35B35 92C15 35B40 35B25 PDFBibTeX XMLCite \textit{J. Wei} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 142, 40 p. (2017; Zbl 1386.35166) Full Text: DOI arXiv
Wang, Zhi-Cheng; Niu, Hui-Ling; Ruan, Shigui On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). (English) Zbl 1360.35097 Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 1111-1144 (2017). MSC: 35K57 35B35 35B40 35Q92 92D25 PDFBibTeX XMLCite \textit{Z.-C. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 1111--1144 (2017; Zbl 1360.35097) 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
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît On interfaces between cell populations with different mobilities. (English) Zbl 1359.35204 Kinet. Relat. Models 10, No. 1, 299-311 (2017). MSC: 35Q92 35C07 35B35 35B36 92C10 92D25 92C37 PDFBibTeX XMLCite \textit{T. Lorenzi} et al., Kinet. Relat. Models 10, No. 1, 299--311 (2017; Zbl 1359.35204) Full Text: DOI
Cao, Meiling; Sheng, Weijie Traveling curved fronts of bistable Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). (English) Zbl 1443.92150 Comput. Math. Appl. 71, No. 6, 1270-1286 (2016). MSC: 92D25 35C07 35K45 35K57 35Q92 PDFBibTeX XMLCite \textit{M. Cao} and \textit{W. Sheng}, Comput. Math. Appl. 71, No. 6, 1270--1286 (2016; Zbl 1443.92150) Full Text: DOI
Agudelo, Oscar; Pistoia, Angela Boundary concentration phenomena for the higher-dimensional Keller-Segel system. (English) Zbl 1366.35196 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 132, 31 p. (2016). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92C17 35J60 35B33 35J20 PDFBibTeX XMLCite \textit{O. Agudelo} and \textit{A. Pistoia}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 132, 31 p. (2016; Zbl 1366.35196) Full Text: DOI arXiv
Mao, Xiaochen; Wang, Zaihua Stability switches and bifurcation in a system of four coupled neural networks with multiple time delays. (English) Zbl 1348.34092 Nonlinear Dyn. 82, No. 3, 1551-1567 (2015). MSC: 34D06 92B20 34C23 34C15 PDFBibTeX XMLCite \textit{X. Mao} and \textit{Z. Wang}, Nonlinear Dyn. 82, No. 3, 1551--1567 (2015; Zbl 1348.34092) Full Text: DOI
Zinsl, Jonathan A note on the variational analysis of the parabolic-parabolic Keller-Segel system in one spatial dimension. (Une note sur l’analyse variationelle du système de Keller-Segel parabolique-parabolique à une dimension spatiale.) (English. French summary) Zbl 1322.35055 C. R., Math., Acad. Sci. Paris 353, No. 9, 849-854 (2015). MSC: 35K45 92C17 35A01 35A15 35Q92 35D30 35B40 PDFBibTeX XMLCite \textit{J. Zinsl}, C. R., Math., Acad. Sci. Paris 353, No. 9, 849--854 (2015; Zbl 1322.35055) Full Text: DOI arXiv
Campos, Juan F.; Dolbeault, Jean Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane. (English) Zbl 1297.35032 Commun. Partial Differ. Equations 39, No. 5, 806-841 (2014). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K15 92C17 35K58 35R09 35C06 PDFBibTeX XMLCite \textit{J. F. Campos} and \textit{J. Dolbeault}, Commun. Partial Differ. Equations 39, No. 5, 806--841 (2014; Zbl 1297.35032) Full Text: DOI arXiv
Kolokolnikov, Theodore; Wei, Juncheng; Yang, Wen On large ring solutions for Gierer-Meinhardt system in \(\mathbb R^3\). (English) Zbl 1286.35102 J. Differ. Equations 255, No. 7, 1408-1436 (2013). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35B25 35J60 92C37 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., J. Differ. Equations 255, No. 7, 1408--1436 (2013; Zbl 1286.35102) Full Text: DOI
Morimoto, Kotaro On positive solutions generated by semi-strong saturation effect for the Gierer-Meinhardt system. (English) Zbl 1286.34081 J. Math. Soc. Japan 65, No. 3, 887-929 (2013). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34B08 34B15 35K57 92C15 PDFBibTeX XMLCite \textit{K. Morimoto}, J. Math. Soc. Japan 65, No. 3, 887--929 (2013; Zbl 1286.34081) Full Text: DOI Euclid
Mirrahimi, S.; Souganidis, P. E. A homogenization approach for the motion of motor proteins. (English) Zbl 1262.35023 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 1, 129-147 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B25 35F21 35D40 35Q84 49L25 92C05 PDFBibTeX XMLCite \textit{S. Mirrahimi} and \textit{P. E. Souganidis}, NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 1, 129--147 (2013; Zbl 1262.35023) Full Text: DOI arXiv
McKinley, Scott A.; Athreya, Avanti; Fricks, John; Kramer, Peter R. Asymptotic analysis of microtubule-based transport by multiple identical molecular motors. (English) Zbl 1397.92167 J. Theor. Biol. 305, 54-69 (2012). MSC: 92C37 92C40 60H10 PDFBibTeX XMLCite \textit{S. A. McKinley} et al., J. Theor. Biol. 305, 54--69 (2012; Zbl 1397.92167) Full Text: DOI arXiv
Perthame, Benoît; Souganidis, Panagiotis E. A homogenization approach to flashing ratchets. (English) Zbl 1209.35013 NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 1, 45-58 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B25 35B27 49L25 92C05 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{P. E. Souganidis}, NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 1, 45--58 (2011; Zbl 1209.35013) Full Text: DOI
Tse, Wang Hung; Wei, Juncheng; Winter, Matthias The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green’s function. (English) Zbl 1204.58026 J. Math. Pures Appl. (9) 94, No. 4, 366-397 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 53C20 92B05 PDFBibTeX XMLCite \textit{W. H. Tse} et al., J. Math. Pures Appl. (9) 94, No. 4, 366--397 (2010; Zbl 1204.58026) Full Text: DOI
Perthame, Benoît; Souganidis, Panagiotis E. Asymmetric potentials and motor effect: a homogenization approach. (English) Zbl 1180.35081 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2055-2071 (2009). MSC: 35B27 35B25 35F21 49L25 92C05 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{P. E. Souganidis}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2055--2071 (2009; Zbl 1180.35081) Full Text: DOI EuDML
Morimoto, Kotaro Construction of multi-peak solutions to the Gierer-Meinhardt system with saturation and source term. (English) Zbl 1178.35040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2532-2557 (2009). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35K57 92C15 35B36 35J60 35J57 35B40 PDFBibTeX XMLCite \textit{K. Morimoto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2532--2557 (2009; Zbl 1178.35040) Full Text: DOI
Kolokolnikov, T.; Ward, M. J.; Wei, J. Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. (English) Zbl 1178.35039 J. Nonlinear Sci. 19, No. 1, 1-56 (2009). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 92E20 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., J. Nonlinear Sci. 19, No. 1, 1--56 (2009; Zbl 1178.35039) Full Text: DOI Link
Kolokolonikov, T.; Wei, Juncheng Positive clustered layered solutions for the Gierer-Meinhardt system. (English) Zbl 1155.35022 J. Differ. Equations 245, No. 4, 964-993 (2008). Reviewer: Yaping Liu (Pittsburg) MSC: 35J55 35Q80 35B25 35J60 92C37 PDFBibTeX XMLCite \textit{T. Kolokolonikov} and \textit{J. Wei}, J. Differ. Equations 245, No. 4, 964--993 (2008; Zbl 1155.35022) Full Text: DOI
Ren, X.; Wei, J. Single droplet pattern in the cylindrical phase of diblock copolymer morphology. (English) Zbl 1134.82048 J. Nonlinear Sci. 17, No. 5, 471-503 (2007). Reviewer: Antonio Fasano (Firenze) MSC: 82D60 92E10 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Wei}, J. Nonlinear Sci. 17, No. 5, 471--503 (2007; Zbl 1134.82048) Full Text: DOI
D’Aprile, Teresa; Wei, Juncheng Clustered solutions around harmonic centers to a coupled elliptic system. (English) Zbl 1406.35053 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 605-628 (2007). MSC: 35B40 35B45 35J57 92C15 92C40 PDFBibTeX XMLCite \textit{T. D'Aprile} and \textit{J. Wei}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 605--628 (2007; Zbl 1406.35053) Full Text: DOI Numdam EuDML
Wei, Juncheng; Winter, Matthias Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry. (English) Zbl 1251.35010 Math. Z. 254, No. 2, 359-383 (2006). MSC: 35B40 35B45 35J57 92C15 92C40 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Math. Z. 254, No. 2, 359--383 (2006; Zbl 1251.35010) Full Text: DOI
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. (English) Zbl 1142.35611 Arch. Ration. Mech. Anal. 182, No. 2, 181-221 (2006). MSC: 35Q60 78A55 92E99 PDFBibTeX XMLCite \textit{J. Dávila} et al., Arch. Ration. Mech. Anal. 182, No. 2, 181--221 (2006; Zbl 1142.35611) Full Text: DOI Link
Ni, Wei-Ming; Wei, Juncheng On positive solutions concentrating on spheres for the Gierer-Meinhardt system. (English) Zbl 1090.35023 J. Differ. Equations 221, No. 1, 158-189 (2006). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B40 35B45 35J55 92C15 92C40 PDFBibTeX XMLCite \textit{W.-M. Ni} and \textit{J. Wei}, J. Differ. Equations 221, No. 1, 158--189 (2006; Zbl 1090.35023) Full Text: DOI
Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng Pulse-splitting for some reaction-diffusion systems in one-space dimension. (English) Zbl 1145.35401 Stud. Appl. Math. 114, No. 2, 115-165 (2005). MSC: 35K57 35B25 35K50 92D25 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Stud. Appl. Math. 114, No. 2, 115--165 (2005; Zbl 1145.35401) Full Text: DOI
Wei, Juncheng; Winter, Matthias Clustered spots in the FitzHugh-Nagumo system. (English) Zbl 1330.35022 J. Differ. Equations 213, No. 1, 121-145 (2005). MSC: 35B25 35J56 35B40 35B45 35Q92 92C15 92C40 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Differ. Equations 213, No. 1, 121--145 (2005; Zbl 1330.35022) Full Text: DOI
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David Transport in a molecular motor system. (English) Zbl 1077.35060 M2AN, Math. Model. Numer. Anal. 38, No. 6, 1011-1034 (2004). MSC: 35K57 34D23 35K50 92C37 92C45 PDFBibTeX XMLCite \textit{M. Chipot} et al., M2AN, Math. Model. Numer. Anal. 38, No. 6, 1011--1034 (2004; Zbl 1077.35060) Full Text: DOI Numdam EuDML
Wei, Juncheng; Winter, Matthias Existence and stability analysis of asymmetric patterns for the Gierer–Meinhardt system. (English) Zbl 1107.35049 J. Math. Pures Appl. (9) 83, No. 4, 433-476 (2004). MSC: 35J55 35B35 35B45 92C15 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Pures Appl. (9) 83, No. 4, 433--476 (2004; Zbl 1107.35049) Full Text: DOI
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\). (Fondamentales multi-pics du système de Gierer-Meinhardt dans \(\mathbb R^2\).) (English) Zbl 1114.35065 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 53-85 (2003). MSC: 35J55 35B40 35B45 47N20 92C15 92C40 PDFBibTeX XMLCite \textit{M. del Pino} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 53--85 (2003; Zbl 1114.35065) Full Text: DOI Numdam EuDML
Wei, Juncheng; Winter, Matthias Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case. (English) Zbl 1042.35005 J. Differ. Equations 178, No. 2, 478-518 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B35 35K50 35K55 35Q80 92C15 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Differ. Equations 178, No. 2, 478--518 (2002; Zbl 1042.35005) Full Text: DOI
Kowalczyk, Michał Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. (English) Zbl 0962.35063 Duke Math. J. 98, No. 1, 59-111 (1999). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J65 35B25 35C20 92C15 PDFBibTeX XMLCite \textit{M. Kowalczyk}, Duke Math. J. 98, No. 1, 59--111 (1999; Zbl 0962.35063) Full Text: DOI