Edit Profile (opens in new tab) Nagai, Toshitaka Compute Distance To: Compute Author ID: nagai.toshitaka Published as: Nagai, Toshitaka; Nagai, T. Documents Indexed: 60 Publications since 1975 Co-Authors: 28 Co-Authors with 40 Joint Publications 676 Co-Co-Authors all top 5 Co-Authors 18 single-authored 9 Senba, Takasi 9 Yamada, Tetsuya 5 Mimura, Masayasu 4 Ikeda, Tsutomu 4 Suzuki, Takashi 3 Díaz Díaz, Jesús Ildefonso 3 Ogawa, Takayoshi 2 López-Gómez, Julián 2 Seki, Yukihiro 2 Yoshida, Kiyoshi 1 Ebihara, Yukiyoshi 1 Ei, Shin-ichi 1 Furusho, Yasuhiro 1 Harada, Go 1 Ikeda, Hideo 1 Kamiya, Norio 1 Kenmochi, Nobuyuki 1 Kita, Eisuke 1 Kobayashi, Ryo 1 Kurokiba, Masaki 1 Mizuta, Yoshihiro 1 Mizutani, Yutaka 1 Nakaki, Tatsuyuki 1 Nakamura, Makoto 1 Ohara, Kazutaka 1 Rakotoson, Jean-Michel 1 Shmarev, Sergei I. 1 Syukuinn, Rai 1 Tsujikawa, Tohru 1 Umesako, Masayuki all top 5 Serials 7 Hiroshima Mathematical Journal 5 RIMS Kokyuroku 4 Japan Journal of Applied Mathematics 3 Funkcialaj Ekvacioj. Serio Internacia 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Advances in Mathematical Sciences and Applications 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the Kyushu Institute of Technology. Mathematics, Natural Science 2 Japan Journal of Industrial and Applied Mathematics 2 Advances in Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Theory of Probability and its Applications 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Applied Mathematics Letters 1 Advances in Engineering Software and Workstations 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 Methods and Applications of Analysis 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Bollettino della Unione Matematica Italiana. Series V. B 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 56 Partial differential equations (35-XX) 46 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 49 Publications have been cited 1,516 times in 827 Documents Cited by ▼ Year ▼ Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Zbl 0901.35104Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi 390 1997 Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains. Zbl 0990.35024Nagai, Toshitaka 233 2001 Blow-up of radially symmetric solutions to a chemotaxis system. Zbl 0843.92007Nagai, Toshitaka 230 1995 Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010Nagai, Toshitaka; Senba, Takasi 74 1998 Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 62 2000 Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\). Zbl 0908.35016Diaz, Jesus Ildefonso; Nagai, Toshitaka; Rakotoson, Jean-Michel 54 1998 Traveling waves in a chemotactic model. Zbl 0742.92001Nagai, Toshitaka; Ikeda, Tsutomu 48 1991 Decay properties and asymptotic profiles of bounded solutions to a parabolic system of chemotaxis in \(\mathbb R^ n\). Zbl 1330.35476Nagai, Toshitaka; Syukuinn, Rai; Umesako, Masayuki 33 2003 Asymptotic behavior for a nonlinear degenerate diffusion equation in population dynamics. Zbl 0554.35060Nagai, Toshitaka; Mimura, Masayasu 32 1983 Behavior of solutions to a parabolic-elliptic system modelling chemotaxis. Zbl 0962.35026Nagai, Toshitaka 31 2000 Global existence and blowup of solutions to a chemotaxis system. Zbl 1042.35574Nagai, Toshitaka 29 2001 Symmetrization in a parabolic-elliptic system related to chemotaxis. Zbl 0859.35004Diaz, Jesus Ildefonso; Nagai, Toshitaka 28 1995 Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014Nagai, Toshitaka; Senba, Takasi 22 1997 Brezis-Merle inequalities and application to the global existence of the Cauchy problem of the Keller-Segel system. Zbl 1254.35111Nagai, Toshitaka; Ogawa, Takayoshi 21 2011 Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space. Zbl 1140.35006Nagai, Toshitaka; Yamada, Tetsuya 21 2007 Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi 20 1997 Some nonlinear degenerate diffusion equations related to population dynamics. Zbl 0535.92019Nagai, Toshitaka; Mimura, Masayasu 19 1983 Global existence of solutions to a parabolic system for chemotaxis in two space dimensions. Zbl 0892.35082Nagai, Toshitaka 19 1997 Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb{R}^2\). Zbl 1346.35085Nagai, Toshitaka; Ogawa, Takayoshi 18 2016 Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\). Zbl 1240.35066Nagai, Toshitaka 15 2011 The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. Zbl 1259.35112Kurokiba, Masaki; Nagai, Toshitaka; Ogawa, Takayoshi 14 2006 Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case. Zbl 1391.35205Nagai, Toshitaka; Yamada, Tetsuya 10 2018 Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass. Zbl 1435.35394Nagai, Toshitaka; Yamada, Tetsuya 10 2020 Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\). Zbl 1227.35118Nagai, Toshitaka 7 2011 Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis. Zbl 1009.35043Harada, Go; Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 7 2001 Singular solutions of traveling waves in a chemotactic model. Zbl 0762.92019Ebihara, Yukiyoshi; Furusho, Yasuhiro; Nagai, Toshitaka 6 1992 Stability of localized stationary solutions. Zbl 0641.35031Ikeda, Tsutomu; Nagai, Toshitaka 6 1987 Boundedness of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in two-dimensional space. Zbl 1458.35082Nagai, Toshitaka; Yamada, Tetsuya 6 2020 Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017Tsujikawa, Tohru; Nagai, Toshitaka; Mimura, Masayasu; Kobayashi, Ryo; Ikeda, Hideo 5 1989 Some nonlinear degenerate diffusion equations with a nonlocally convective term in ecology. Zbl 0517.92023Nagai, Toshitaka 4 1983 Non-trivial \({\omega}\)-limit sets and oscillating solutions in a chemotaxis model in \(\mathbb R^2\) with critical mass. Zbl 1283.92015López-Gómez, Julián; Nagai, Toshitaka; Yamada, Tetsuya 4 2014 On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics. Zbl 0869.35106Diaz, Jesus Ildefonso; Nagai, Toshitaka; Shmarev, Sergei I. 4 1996 Weak solutions for certain nonlinear time-dependent parabolic variational inequalities. Zbl 0348.35051Kenmochi, Nobuyuki; Nagai, Toshitaka 3 1975 The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass. Zbl 1320.35173López-Gómez, Julián; Nagai, Toshitaka; Yamada, Tetsuya 3 2013 Boundedness of solutions to a parabolic-elliptic Keller-Segel equation in \(\mathbb{R}^{2}\) with critical mass. Zbl 1434.35023Nagai, Toshitaka; Yamada, Tetsuya 3 2018 Asymptotic behavior of the interfaces to a nonlinear degenerate diffusion equation in population dynamics. Zbl 0616.35042Nagai, Toshitaka; Mimura, Masayasu 3 1986 Self-similar radial solutions to a system of partial differential equations modelling chemotaxis. Zbl 0839.35057Mizutani, Yutaka; Nagai, Toshitaka 3 1995 Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case. Zbl 1475.92034Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya 3 2021 Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case. Zbl 1475.35061Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya 3 2021 Periodic solutions for certain time-dependent parabolic variational inequalities. Zbl 0348.35052Nagai, Toshitaka 2 1975 Global solvability for a chemotaxis system in \(\mathbb{R}^2\). Zbl 1196.35016Nagai, Toshitaka 2 2009 Structure of solutions to a chemotaxis system in one space dimension. Zbl 1120.35021Nagai, Toshitaka 2 2005 Stability of constant steady states and existence of unbounded solutions in time to a reaction–diffusion equation modelling chemotaxis. Zbl 1083.35018Nagai, Toshitaka; Nakaki, Tatsuyuki 1 2004 Propagation of excited state and its failure in a simple model of myelinated nerve axons. Zbl 0699.92006Ikeda, Tsutomu; Nakamura, Makoto; Nagai, Toshitaka 1 1989 Asymptotic behaviour of the interface to a certain nonlinear diffusion- advection equation. Zbl 0649.35045Mimura, M.; Nagai, T. 1 1987 On solutions with compact support of certain nonlinear parabolic equations. Zbl 0383.35033Nagai, Toshitaka 1 1978 Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0931.35185Nagai, Toshitaka; Senba, Takasi 1 1996 Stationary solutions of a reaction-diffusion equation with a nonlocal convection. Zbl 0815.35052Ohara, Kazutaka; Ei, Shin-ichi; Nagai, Toshitaka 1 1992 Concentration behavior of blow-up solutions for a simplified system of chemotaxis. Zbl 0985.35507Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 1 2001 Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case. Zbl 1475.92034Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya 3 2021 Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case. Zbl 1475.35061Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya 3 2021 Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass. Zbl 1435.35394Nagai, Toshitaka; Yamada, Tetsuya 10 2020 Boundedness of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in two-dimensional space. Zbl 1458.35082Nagai, Toshitaka; Yamada, Tetsuya 6 2020 Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case. Zbl 1391.35205Nagai, Toshitaka; Yamada, Tetsuya 10 2018 Boundedness of solutions to a parabolic-elliptic Keller-Segel equation in \(\mathbb{R}^{2}\) with critical mass. Zbl 1434.35023Nagai, Toshitaka; Yamada, Tetsuya 3 2018 Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb{R}^2\). Zbl 1346.35085Nagai, Toshitaka; Ogawa, Takayoshi 18 2016 Non-trivial \({\omega}\)-limit sets and oscillating solutions in a chemotaxis model in \(\mathbb R^2\) with critical mass. Zbl 1283.92015López-Gómez, Julián; Nagai, Toshitaka; Yamada, Tetsuya 4 2014 The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass. Zbl 1320.35173López-Gómez, Julián; Nagai, Toshitaka; Yamada, Tetsuya 3 2013 Brezis-Merle inequalities and application to the global existence of the Cauchy problem of the Keller-Segel system. Zbl 1254.35111Nagai, Toshitaka; Ogawa, Takayoshi 21 2011 Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\). Zbl 1240.35066Nagai, Toshitaka 15 2011 Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\). Zbl 1227.35118Nagai, Toshitaka 7 2011 Global solvability for a chemotaxis system in \(\mathbb{R}^2\). Zbl 1196.35016Nagai, Toshitaka 2 2009 Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space. Zbl 1140.35006Nagai, Toshitaka; Yamada, Tetsuya 21 2007 The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. Zbl 1259.35112Kurokiba, Masaki; Nagai, Toshitaka; Ogawa, Takayoshi 14 2006 Structure of solutions to a chemotaxis system in one space dimension. Zbl 1120.35021Nagai, Toshitaka 2 2005 Stability of constant steady states and existence of unbounded solutions in time to a reaction–diffusion equation modelling chemotaxis. Zbl 1083.35018Nagai, Toshitaka; Nakaki, Tatsuyuki 1 2004 Decay properties and asymptotic profiles of bounded solutions to a parabolic system of chemotaxis in \(\mathbb R^ n\). Zbl 1330.35476Nagai, Toshitaka; Syukuinn, Rai; Umesako, Masayuki 33 2003 Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains. Zbl 0990.35024Nagai, Toshitaka 233 2001 Global existence and blowup of solutions to a chemotaxis system. Zbl 1042.35574Nagai, Toshitaka 29 2001 Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis. Zbl 1009.35043Harada, Go; Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 7 2001 Concentration behavior of blow-up solutions for a simplified system of chemotaxis. Zbl 0985.35507Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 1 2001 Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi 62 2000 Behavior of solutions to a parabolic-elliptic system modelling chemotaxis. Zbl 0962.35026Nagai, Toshitaka 31 2000 Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010Nagai, Toshitaka; Senba, Takasi 74 1998 Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\). Zbl 0908.35016Diaz, Jesus Ildefonso; Nagai, Toshitaka; Rakotoson, Jean-Michel 54 1998 Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Zbl 0901.35104Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi 390 1997 Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014Nagai, Toshitaka; Senba, Takasi 22 1997 Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi 20 1997 Global existence of solutions to a parabolic system for chemotaxis in two space dimensions. Zbl 0892.35082Nagai, Toshitaka 19 1997 On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics. Zbl 0869.35106Diaz, Jesus Ildefonso; Nagai, Toshitaka; Shmarev, Sergei I. 4 1996 Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0931.35185Nagai, Toshitaka; Senba, Takasi 1 1996 Blow-up of radially symmetric solutions to a chemotaxis system. Zbl 0843.92007Nagai, Toshitaka 230 1995 Symmetrization in a parabolic-elliptic system related to chemotaxis. Zbl 0859.35004Diaz, Jesus Ildefonso; Nagai, Toshitaka 28 1995 Self-similar radial solutions to a system of partial differential equations modelling chemotaxis. Zbl 0839.35057Mizutani, Yutaka; Nagai, Toshitaka 3 1995 Singular solutions of traveling waves in a chemotactic model. Zbl 0762.92019Ebihara, Yukiyoshi; Furusho, Yasuhiro; Nagai, Toshitaka 6 1992 Stationary solutions of a reaction-diffusion equation with a nonlocal convection. Zbl 0815.35052Ohara, Kazutaka; Ei, Shin-ichi; Nagai, Toshitaka 1 1992 Traveling waves in a chemotactic model. Zbl 0742.92001Nagai, Toshitaka; Ikeda, Tsutomu 48 1991 Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017Tsujikawa, Tohru; Nagai, Toshitaka; Mimura, Masayasu; Kobayashi, Ryo; Ikeda, Hideo 5 1989 Propagation of excited state and its failure in a simple model of myelinated nerve axons. Zbl 0699.92006Ikeda, Tsutomu; Nakamura, Makoto; Nagai, Toshitaka 1 1989 Stability of localized stationary solutions. Zbl 0641.35031Ikeda, Tsutomu; Nagai, Toshitaka 6 1987 Asymptotic behaviour of the interface to a certain nonlinear diffusion- advection equation. Zbl 0649.35045Mimura, M.; Nagai, T. 1 1987 Asymptotic behavior of the interfaces to a nonlinear degenerate diffusion equation in population dynamics. Zbl 0616.35042Nagai, Toshitaka; Mimura, Masayasu 3 1986 Asymptotic behavior for a nonlinear degenerate diffusion equation in population dynamics. Zbl 0554.35060Nagai, Toshitaka; Mimura, Masayasu 32 1983 Some nonlinear degenerate diffusion equations related to population dynamics. Zbl 0535.92019Nagai, Toshitaka; Mimura, Masayasu 19 1983 Some nonlinear degenerate diffusion equations with a nonlocally convective term in ecology. Zbl 0517.92023Nagai, Toshitaka 4 1983 On solutions with compact support of certain nonlinear parabolic equations. Zbl 0383.35033Nagai, Toshitaka 1 1978 Weak solutions for certain nonlinear time-dependent parabolic variational inequalities. Zbl 0348.35051Kenmochi, Nobuyuki; Nagai, Toshitaka 3 1975 Periodic solutions for certain time-dependent parabolic variational inequalities. Zbl 0348.35052Nagai, Toshitaka 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 697 Authors 66 Winkler, Michael 36 Mu, Chunlai 22 Wang, Zhian 20 Lin, Ke 20 Liu, Bin 20 Tao, Youshan 19 Zheng, Sining 18 Jin, Haiyang 18 Nagai, Toshitaka 18 Ren, Guoqiang 18 Zheng, Pan 16 Fujie, Kentaro 16 Lankeit, Johannes 16 Ogawa, Takayoshi 15 Shen, Wenxian 15 Yokota, Tomomi 14 Sugiyama, Yoshie 14 Wang, Wei 14 Xiang, Tian 13 Zheng, Jiashan 12 Viglialoro, Giuseppe 12 Wang, Liangchen 11 Zhao, Jie 10 Cieślak, Tomasz 10 Mizukami, Masaaki 10 Salako, Rachidi Bolaji 10 Yamada, Tetsuya 9 Calvez, Vincent 9 Cao, Xinru 9 Jiang, Jie 9 Laurençot, Philippe 9 Li, Dan 9 Perthame, Benoît 9 Senba, Takasi 9 Suzuki, Takashi 9 Wang, Yilong 9 Xiang, Zhaoyin 8 Biler, Piotr 8 Li, Xie 8 Mizoguchi, Noriko 8 Yamamoto, Masakazu 7 Black, Tobias 7 Carrillo de la Plata, José Antonio 7 Kang, Kyungkeun 7 Li, Tong 7 Mimura, Masayasu 7 Qiu, Shuyan 7 Rakotoson, Jean-Michel 7 Tu, Xinyu 6 Ding, Mengyao 6 Granero Belinchón, Rafael 6 Ishida, Sachiko 6 Karch, Grzegorz 6 Li, Zhongping 6 Liu, Ji 6 Wang, Weike 6 Wang, Yifu 6 Yu, Hao 5 Baghaei, Khadijeh 5 Espejo, Elio E. 5 Fuest, Mario 5 Guo, Shangjiang 5 Jin, Chunhua 5 Kozono, Hideo 5 Kurokiba, Masaki 5 Lee, Jihoon 5 Li, Yan 5 Li, Yuxiang 5 Liu, Zuhan 5 Shi, Renkun 5 Stinner, Christian 5 Velázquez, Juan J. L. 5 Wakui, Hiroshi 5 Wang, Qi 5 Wu, Sainan 5 Xing, Jie 5 Yoshida, Natsumi 5 Zienkiewicz, Jacek 4 Ahn, Jaewook 4 Burczak, Jan 4 Díaz Díaz, Jesús Ildefonso 4 Hillen, Thomas 4 Horstmann, Dirk 4 Ikeda, Tsutomu 4 Khelghati, Ali 4 Kim, Yong Jung 4 Li, Dong 4 Liu, Dongmei 4 Liu, Zhengrong 4 Marras, Monica 4 Osaki, Koichi 4 Pan, Xu 4 Suguro, Takeshi 4 Wang, Yulan 4 Yi, Hong 4 Yoon, Changwook 4 Zhao, Xiangdong 4 Zhong, Hua 3 Bedrossian, Jacob 3 Blanchet, Adrien ...and 597 more Authors all top 5 Cited in 148 Serials 89 Journal of Mathematical Analysis and Applications 89 Journal of Differential Equations 47 Nonlinear Analysis. Real World Applications 41 Discrete and Continuous Dynamical Systems. Series B 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Discrete and Continuous Dynamical Systems 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 Mathematical Methods in the Applied Sciences 18 Nonlinearity 17 Acta Applicandae Mathematicae 16 SIAM Journal on Mathematical Analysis 14 Calculus of Variations and Partial Differential Equations 12 Computers & Mathematics with Applications 11 Applicable Analysis 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Journal of Mathematical Biology 10 Journal of Mathematical Physics 10 Journal of Functional Analysis 10 Journal of Evolution Equations 10 Boundary Value Problems 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applied Mathematics Letters 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Communications in Partial Differential Equations 7 Discrete and Continuous Dynamical Systems. Series S 6 Archive for Rational Mechanics and Analysis 6 Japan Journal of Applied Mathematics 6 Communications on Pure and Applied Analysis 5 Journal of Computational Physics 5 Mathematische Annalen 5 Mathematische Nachrichten 4 Applied Mathematics and Computation 4 Journal of Scientific Computing 4 European Journal of Applied Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Journal of Nonlinear Science 4 NoDEA. Nonlinear Differential Equations and Applications 4 Kinetic and Related Models 4 Nonlinear Analysis. Theory, Methods & Applications 3 Communications in Mathematical Physics 3 Bulletin of Mathematical Biology 3 Proceedings of the American Mathematical Society 3 Physica D 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Acta Mathematica Scientia. Series B. (English Edition) 3 SIAM Journal on Applied Dynamical Systems 3 Science China. Mathematics 3 Evolution Equations and Control Theory 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Funkcialaj Ekvacioj. Serio Internacia 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Chaos 2 Discrete Dynamics in Nature and Society 2 Journal of Mathematical Fluid Mechanics 2 Annales Henri Poincaré 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Advanced Nonlinear Studies 2 Analysis and Applications (Singapore) 2 International Journal of Numerical Analysis and Modeling 2 Mathematical Biosciences and Engineering 2 Networks and Heterogeneous Media 2 Séminaire Laurent Schwartz. EDP et Applications 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Osaka Journal of Mathematics ...and 48 more Serials all top 5 Cited in 31 Fields 802 Partial differential equations (35-XX) 666 Biology and other natural sciences (92-XX) 39 Numerical analysis (65-XX) 31 Fluid mechanics (76-XX) 15 Ordinary differential equations (34-XX) 14 Functional analysis (46-XX) 14 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 9 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year