Discrete and Continuous Dynamical Systems Short Title: Discrete Contin. Dyn. Syst. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1078-0947; 0133-0189; 1553-5231/e Online: https://www.aimsciences.org/DCDShttps://www.aimsciences.org/proc Comments: Journal; Indexed cover-to-cover; The electronic version has the addition: Series A. Documents Indexed: 5,977 Publications (since 1995) References Indexed: 2,743 Publications with 75,531 References. all top 5 Latest Issues 45, No. 3 (2025) 45, No. 2 (2025) 45, No. 1 (2025) 44, No. 12 (2024) 44, No. 11 (2024) 44, No. 10 (2024) 44, No. 9 (2024) 44, No. 8 (2024) 44, No. 7 (2024) 44, No. 6 (2024) 44, No. 5 (2024) 44, No. 4 (2024) 44, No. 3 (2024) 44, No. 2 (2024) 44, No. 1 (2024) 43, No. 12 (2023) 43, No. 11 (2023) 43, No. 10 (2023) 43, No. 9 (2023) 43, No. 8 (2023) 43, No. 7 (2023) 43, No. 6 (2023) 43, No. 5 (2023) 43, No. 3-4 (2023) 43, No. 2 (2023) 43, No. 1 (2023) 42, No. 12 (2022) 42, No. 11 (2022) 42, No. 10 (2022) 42, No. 9 (2022) 42, No. 8 (2022) 42, No. 7 (2022) 42, No. 6 (2022) 42, No. 5 (2022) 42, No. 4 (2022) 42, No. 3 (2022) 42, No. 2 (2022) 42, No. 1 (2022) 41, No. 12 (2021) 41, No. 11 (2021) 41, No. 10 (2021) 41, No. 9 (2021) 41, No. 8 (2021) 41, No. 7 (2021) 41, No. 6 (2021) 41, No. 5 (2021) 41, No. 4 (2021) 41, No. 3 (2021) 41, No. 2 (2021) 41, No. 1 (2021) 40, No. 12 (2020) 40, No. 11 (2020) 40, No. 10 (2020) 40, No. 9 (2020) 40, No. 8 (2020) 40, No. 7 (2020) 40, No. 6 (2020) 40, No. 5 (2020) 40, No. 4 (2020) 40, No. 3 (2020) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 12 (2019) 39, No. 11 (2019) 39, No. 10 (2019) 39, No. 9 (2019) 39, No. 8 (2019) 39, No. 7 (2019) 39, No. 6 (2019) 39, No. 5 (2019) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 12 (2018) 38, No. 11 (2018) 38, No. 10 (2018) 38, No. 9 (2018) 38, No. 8 (2018) 38, No. 7 (2018) 38, No. 6 (2018) 38, No. 5 (2018) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 12 (2017) 37, No. 11 (2017) 37, No. 10 (2017) 37, No. 9 (2017) 37, No. 8 (2017) 37, No. 7 (2017) 37, No. 6 (2017) 37, No. 5 (2017) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 12 (2016) 36, No. 11 (2016) ...and 187 more Volumes all top 5 Authors 20 Llibre, Jaume 19 Temam, Roger Meyer 18 Miranville, Alain M. 17 Li, Congming 17 Valls Anglés, Cláudia 16 Barreira, Luis Manuel 16 Chen, Wenxiong 16 Shen, Wenxian 16 Wang, Bixiang 16 Wei, Juncheng 15 Bona, Jerry Lloyd 15 Bressan, Alberto 15 Caraballo Garrido, Tomás 15 Grasselli, Maurizio 15 Ni, Wei-Ming 14 Graef, John R. 14 Lou, Yuan 13 de la Llave, Rafael 13 Guo, Boling 13 Oprocha, Piotr 13 Pata, Vittorino 13 Yin, Zhaoyang 12 Díaz Díaz, Jesús Ildefonso 12 Feng, Zhaosheng 12 Kloeden, Peter Eris 12 Kukavica, Igor 12 Mu, Chunlai 12 Ozawa, Tohru 12 Valdinoci, Enrico 11 Feireisl, Eduard 11 López-Gómez, Julián 11 Papageorgiou, Nikolaos S. 11 Terracini, Susanna 10 Dancer, Edward Norman 10 Gasull, Armengol 10 Giga, Yoshikazu 10 Kunisch, Karl 10 Lasiecka, Irena 10 Li, Wan-Tong 10 Lin, Fang Hua 10 Morales Rojas, Carlos Arnoldo 10 Ôtani, Mitsuharu 10 Urbański, Mariusz 10 Wang, Shouhong 10 Zhong, Chengkui 10 Zhou, Shengfan 9 Chen, Gui-Qiang G. 9 Deng, Yinbin 9 Guo, Yuxia 9 Hilhorst, Danielle 9 Holden, Helge 9 Lei, Yutian 9 Lopes, Artur Oscar 9 Lu, Kening 9 Minhós, Feliz Manuel 9 Peng, Shuangjie 9 Sire, Yannick 9 Tan, Zhong 9 Xu, Junxiang 9 Yamazaki, Noriaki 9 Yotsutani, Shoji 8 Chen, Xinfu 8 Chepyzhov, Vladimir V. 8 Delshams, Amadeu 8 Dipierro, Serena 8 Dong, Hongjie 8 Dumortier, Freddy 8 Feng, Wei 8 Figalli, Alessio 8 Galatolo, Stefano 8 García-Huidobro, Marta 8 Gazzola, Filippo 8 Gidea, Marian 8 Jiang, Yunping 8 Koch, Hans-Friedrich 8 Kong, Lingju 8 Li, Yi 8 Lu, Xin 8 Misiurewicz, Michał 8 Ninomiya, Hirokazu 8 Pistoia, Angela 8 Poláčik, Peter 8 Rădulescu, Vicenţiu D. 8 Real Anguas, José 8 Rodríguez-Bernal, Aníbal 8 Schimperna, Giulio 8 Shi, Junping 8 Squassina, Marco 8 Tachim Medjo, Theodore 8 Tang, Xianhua 8 Taniguchi, Masaharu 8 Tian, Xueting 8 Trofimchuk, Sergei I. 8 Valero, José 8 Vazquez, Juan Luis 8 Wang, Mingxin 8 Wang, Zhi-Qiang 8 Wen, Lan 8 Yamada, Yoshio 8 Yokota, Tomomi ...and 7,057 more Authors all top 5 Fields 3,166 Partial differential equations (35-XX) 2,110 Dynamical systems and ergodic theory (37-XX) 945 Ordinary differential equations (34-XX) 651 Fluid mechanics (76-XX) 452 Biology and other natural sciences (92-XX) 358 Operator theory (47-XX) 354 Calculus of variations and optimal control; 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homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,936 Publications have been cited 52,446 times in 37,811 Documents Cited by ▼ Year ▼ Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184 Shen, Jie; Yang, Xiaofeng 573 2010 Variational methods for non-local operators of elliptic type. Zbl 1303.35121 Servadei, Raffaella; Valdinoci, Enrico 454 2013 Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028 Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. 345 2008 Global attractors for damped semilinear wave equations. Zbl 1056.37084 Ball, J. M. 322 2004 Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185 Hou, Thomas Y.; Li, Congming 277 2005 Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048 Li, Xiaoyue; Mao, Xuerong 249 2009 Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307 Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang 203 2007 Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068 Wang, Bixiang 190 2014 Random dispersal vs. non-local dispersal. Zbl 1187.35127 Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian 184 2010 Remarks on regularities for the 3D MHD equations. Zbl 1068.35117 Zhou, Yong 184 2005 Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 1515.35047 Cao, Xinru 183 2015 The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057 Galaktionov, Victor A.; Vázquez, Juan L. 183 2002 Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103 Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A. 181 2010 Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105 Tao, Youshan; Winkler, Michael 161 2012 Vacuum states for compressible flow. Zbl 0970.76084 Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 159 1998 A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052 Léonard, Christian 154 2014 Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276 Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 149 2013 On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033 Huan, Song-Mei; Yang, Xiao-Song 143 2012 Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427 Wang, Zhengping; Zhou, Huan-Song 142 2007 Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059 Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou 138 2016 Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098 Lin, Fang-Hua; Liu, Chun 137 1996 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166 Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 136 2010 Global stability for damped Timoshenko systems. Zbl 1047.35023 Muñoz Rivera, J. E.; Racke, R. 133 2003 Qualitative properties of solutions for an integral equation. Zbl 1081.45003 Chen, Wenxiong; Li, Congming; Ou, Biao 131 2005 Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129 Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 129 2015 Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025 Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 126 2008 BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452 Lei, Zhen; Zhou, Yi 126 2009 Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094 Lu, Songsong; Wu, Hongqing; Zhong, Chengkui 111 2005 Piecewise linear perturbations of a linear center. Zbl 1312.37037 Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan 110 2013 Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051 Tang, Xianhua; Chen, Sitong 110 2017 Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069 Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong 108 2012 Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099 Holden, Helge; Raynaud, Xavier 107 2009 Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009 Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando 107 2015 Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015 Serfaty, Sylvia 101 2011 Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067 Li, Ta-Tsien; Zhou, Yi 97 1995 Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130 Guo, Jong-Shenq; Morita, Yoshihisa 97 2005 Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002 Cosner, Chris 96 2014 Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087 Savaré, Giuseppe 95 2014 The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319 Cao, Yong-Luo; Feng, De-Jun; Huang, Wen 94 2008 Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215 Wang, Liangchen; Li, Yuhuan; Mu, Chunlai 93 2014 Ergodic optimization. Zbl 1116.37017 Jenkinson, Oliver 93 2006 Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian. Zbl 1322.31007 Yuan, Zixia; Cui, Xuewei; Chen, Wenxiong; Zhuo, Ran 92 2016 Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011 Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey 91 2004 Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270 Brasco, Lorenzo; Parini, Enea; Squassina, Marco 90 2016 Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306 Cuesta, Eduardo 89 2007 Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076 Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J. 89 2003 On the global existence of a cross-diffusion system. Zbl 0960.35049 Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 88 1998 Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 87 2005 Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062 Wu, Jiahong 86 2004 Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030 Huang, Jianhua; Zou, Xingfu 86 2003 Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575 Lankeit, Johannes; Wang, Yulan 86 2017 An integral system and the Lane-Emden conjecture. Zbl 1176.35067 Chen, Wenxiong; Li, Congming 84 2009 The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327 Peng, Rui; Zhao, Xiao-Qiang 81 2013 On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 81 2003 Sharp well-posedness results for the BBM equation. Zbl 1170.35303 Bona, Jerry; Tzvetkov, Nikolay 80 2009 Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072 Zhou, Peng; Xiao, Dongmei; Lou, Yuan 80 2016 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082 Genoud, François; Stuart, Charles A. 78 2008 Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542 Berestycki, Henri; Rossi, Luca 77 2008 Wellposedness for a parabolic-elliptic system. Zbl 1082.35056 Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl 76 2005 Necessary optimality conditions for fractional difference problems of the calculus of variations. Zbl 1209.49020 Bastos, Nuno R. O.; Ferreira, Rui A. C.; Torres, Delfim F. M. 74 2011 Longtime behavior for a model of homogeneous incompressible two-phase flows. Zbl 1194.35056 Gal, Ciprian G.; Grasselli, Maurizio 73 2010 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360 Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 73 2004 A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086 Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian 73 2003 Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential. Zbl 1365.35017 Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D. 73 2017 Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion. Zbl 1047.35054 Choi, Y. S.; Lui, Roger; Yamada, Yoshio 71 2004 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012 Gazzola, Filippo; Ferrero, Alberto 71 2015 Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111 Zhang, Jian; Zhang, Wen; Tang, Xianhua 71 2017 The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065 Ju, Ning 70 2007 Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164 Pankov, A. 70 2007 On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007 Sun, Huan; Liu, Chun 70 2009 Random dynamics of fractional nonclassical diffusion equations driven by colored noise. Zbl 1414.37032 Wang, Renhai; Li, Yangrong; Wang, Bixiang 70 2019 Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123 Yin, Zhaoyang 69 2004 Unique continuation properties for relativistic Schrödinger operators with a singular potential. Zbl 1336.35356 Fall, Mouhamed Moustapha; Felli, Veronica 69 2015 The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086 Linares, F.; Saut, Jean-Claude 68 2009 Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114 Zhang, Ting; Fang, Daoyuan; Chen, Hui 67 2017 Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088 Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao 66 2015 Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214 Ishida, Sachiko 66 2015 Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032 Belleri, Veronica; Pata, Vittorino 66 2001 Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian. Zbl 1333.31013 Abatangelo, Nicola 66 2015 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407 Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 65 2015 Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026 Chen, Sitong; Tang, Xianhua 65 2018 Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432 Bociu, Lorena; Lasiecka, Irena 64 2008 Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012 Ninomiya, Hirokazu; Taniguchi, Masaharu 63 2006 Cauchy problem for the Ostrovsky equation. Zbl 1059.35035 Varlamov, V.; Liu, Yue 63 2004 Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093 Lu, Guozhen; Yang, Yunyan 63 2009 Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118 Li, Y. A.; Olver, P. J. 63 1997 Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian. Zbl 06951275 Ambrosio, Vincenzo; Isernia, Teresa 63 2018 A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061 Holden, Helge; Raynaud, Xavier 62 2006 Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058 Lin, Jiayun; Nishihara, Kenji; Zhai, Jian 62 2012 Uniqueness and nondegeneracy of solutions for a critical nonlocal equation. Zbl 1425.35025 Du, Lele; Yang, Minbo 62 2019 Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017 Bressan, Alberto; Chen, Geng; Zhang, Qingtian 61 2015 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 61 2006 Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136 Cao, Chongsheng 61 2010 Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067 Mu, Chunlai; Lin, Ke 61 2016 Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031 Caraballo, Tomás; Langa, José A.; Robinson, James C. 61 2000 Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators. Zbl 1187.35018 Marín-Rubio, Pedro; Real, José 60 2010 The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353 Gal, Ciprian G.; Grasselli, Maurizio 60 2008 Existence theorems for periodic Markov process and stochastic functional differential equations. Zbl 1171.34056 Xu, Daoyi; Huang, Yumei; Yang, Zhiguo 59 2009 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315 Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 58 2009 The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Zbl 1280.35124 Grünrock, Axel; Herr, Sebastian 58 2014 Blow-up profile of normalized solutions for fractional nonlinear Schrödinger equation with negative potentials. Zbl 07906826 Li, Zaizheng; Luo, Haijun; Zhang, Zhitao 1 2025 Blow-up of solutions to semilinear wave equations with spatial derivatives. Zbl 07946838 Shao, Kerun; Takamura, Hiroyuki; Wang, Chengbo 1 2025 Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. Zbl 1529.35164 Li, Quanqing; Zou, Wenming 11 2024 Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions. Zbl 1536.11122 Hussain, Mumtaz; Li, Bixuan; Shulga, Nikita 3 2024 Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation. Zbl 1534.35399 Henderson, Christopher; Wang, Weinan 2 2024 Continuum-wise hyperbolic homeomorphisms on surfaces. Zbl 07787719 Arruda, Rodrigo; Carvalho, Bernardo; Sarmiento, Alberto 2 2024 The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. Zbl 1538.70029 Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin 2 2024 On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor. Zbl 1531.37018 Barinova, Marina; Pochinka, Olga; Yakovlev, Evgeniy 1 2024 Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion. Zbl 1530.34052 Zhu, Zirui; Liu, Xingbo 1 2024 Global existence and decay rates to a self-consistent chemotaxis-fluid system. Zbl 1529.35529 Carrillo, José A.; Peng, Yingping; Xiang, Zhaoyin 1 2024 Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics. Zbl 1536.35067 Kurt, Halil Ibrahim; Shen, Wenxian 1 2024 On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors. Zbl 07818411 Remo, Flavia; Fuhrmann, Gabriel; Jäger, Tobias 1 2024 A class of critical \(p\)-Kirchhoff type equations on closed manifolds. Zbl 1534.35174 Bai, Xiaojin; Chen, Nanbo; Liu, Xiaochun 1 2024 Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. Zbl 1541.37064 Hu, Shengqing; Zhang, Jing 1 2024 Convergence of rough Follow-the-Leader approximations and existence of weak solutions for the one-dimensional Hughes model. Zbl 1537.35223 Storbugt, Halvard Olsen 1 2024 Spreading properties for a predation-competition system with nonlocal dispersal in shifting habitats. Zbl 1537.35355 Wang, Jing; Li, Wan-Tong; Wang, Jia-Bing; Yang, Fei-Ying 1 2024 New results on controllability and stability for degenerate Euler-Bernoulli type equations. Zbl 1542.35048 Camasta, Alessandro; Fragnelli, Genni 1 2024 On a Hamiltonian regularization of scalar conservation laws. Zbl 1531.35175 Guelmame, Billel 1 2024 On a Brezis-Oswald-type result for degenerate Kirchhoff problems. Zbl 1532.35202 Biagi, Stefano; Vecchi, Eugenio 1 2024 Quasi-compactness of transfer operators for topological Markov shifts with holes. Zbl 07896599 Tanaka, Haruyoshi 1 2024 Global solutions for a family of GSQG front equations. Zbl 1545.35094 Hunter, John K.; Shu, Jingyang; Zhang, Qingtian 1 2024 Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. Zbl 07901502 Gustafson, Stephen; Inui, Takahisa 1 2024 On weighted Orlicz-Sobolev inequalities. Zbl 07901503 Anoop, T. V.; Das, Ujjal; Roy, Subhajit 1 2024 Examples of projective billiards with open sets of periodic orbits. Zbl 07901507 Fierobe, Corentin 1 2024 Boundary layer problem on the chemotaxis model with Robin boundary conditions. Zbl 1528.35007 Hou, Qianqian 1 2024 Response solutions of a class of degenerate quasi-periodic systems with a small parameter. Zbl 1532.37056 Yang, Xiaomei; Xu, Junxiang 1 2024 Blow-up for a fully fractional heat equation. Zbl 1528.35019 Ferreira, Raúl; de Pablo, Arturo 1 2024 The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases. Zbl 1514.35039 Gal, Ciprian G.; Giorgini, Andrea; Grasselli, Maurizio 20 2023 Global well-posedness of the viscous Camassa-Holm equation with gradient noise. Zbl 1515.35376 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 11 2023 Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case. Zbl 1519.35148 Feng, Xiaojing; Liu, Haidong; Zhang, Zhitao 9 2023 Discrete geometric singular perturbation theory. Zbl 1540.39005 Jelbart, Samuel; Kuehn, Christian 8 2023 Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity. Zbl 1514.35217 Ben Ayed, Mohamed; Fourti, Habib; Ghoudi, Rabeh 5 2023 Emergence of biological transportation networks as a self-regulated process. Zbl 1518.35216 Haskovec, Jan; Markowich, Peter; Portaro, Simone 4 2023 Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth. Zbl 1518.35152 Pierre, Michel; Schmitt, Didier 4 2023 The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains. Zbl 1518.35440 Bonforte, Matteo; Ibarrondo, Peio; Ispizua, Mikel 4 2023 The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term. Zbl 1514.35467 Li, Meng; He, Jinchun; Xu, Haoyuan; Yang, Meihua 4 2023 Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. Zbl 1516.35384 Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi 4 2023 Ergodic average of typical orbits and typical functions. Zbl 1523.37011 Hou, Xiaobo; Lin, Wanshan; Tian, Xueting 4 2023 A 3D-Schrödinger operator under magnetic steps with semiclassical applications. Zbl 1514.35123 Assaad, Wafaa; Giacomelli, Emanuela L. 4 2023 Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience. Zbl 1518.35161 Dou, Xu’an; Perthame, Benoît; Salort, Delphine; Zhou, Zhennan 3 2023 KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067 Li, Jing; Qi, Jiangang; Yuan, Xiaoping 3 2023 Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity. Zbl 1522.35386 Hou, Fei; Yin, Huicheng 3 2023 Global boundedness of a three-species predator-prey model with prey-taxis and competition. Zbl 1519.35009 Li, Songzhi; Wang, Kaiqiang 3 2023 Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: spreading speed. Zbl 1514.35055 Wang, Rong; Du, Yihong 3 2023 Non-autonomous stochastic lattice systems with Markovian switching. Zbl 1519.37105 Li, Dingshi; Lin, Yusen; Pu, Zhe 3 2023 Exponential and sub-exponential stability times for the derivative wave equation. Zbl 1519.37092 Sun, Yingte; Li, Siming; Wu, Xiaoqing 3 2023 Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces. Zbl 1525.35239 Zhanpeisov, Erbol 3 2023 Symmetrization for fractional nonlinear elliptic problems. Zbl 1518.35629 Ferone, Vincenzo; Volzone, Bruno 2 2023 A game theoretical approximation for a parabolic/elliptic system with different operators. Zbl 1518.35225 Miranda, Alfredo; Rossi, Julio D. 2 2023 Universal estimates and Liouville theorems for superlinear problems without scale invariance. Zbl 1518.35344 Souplet, Philippe 2 2023 Wellposedness of an elliptic-dispersive coupled system for MEMS. Zbl 1525.35073 Gimperlein, Heiko; He, Runan; Lacey, Andrew A. 2 2023 Solution manifolds of differential systems with discrete stated-dependent delays are almost graphs. Zbl 1525.34116 Krisztin, Tibor; Walther, Hans-Otto 2 2023 Rigidity for some cases of Anosov endomorphisms of torus. Zbl 1522.37045 Micena, Fernando 2 2023 Stability of a class of action functionals depending on convex functions. Zbl 1518.49015 Ambrosio, Luigi; Brena, Camillo 2 2023 The stickiness property for antisymmetric nonlocal minimal graphs. Zbl 1518.35617 Baronowitz, Benjamin; Dipierro, Serena; Valdinoci, Enrico 2 2023 Trace and boundary singularities of positive solutions of a class of quasilinear equations. Zbl 1520.35068 Bidaut-Véron, Marie-Françoise; Véron, Laurent 2 2023 Hautus-Yamamoto criteria for approximate and exact controllability of linear difference delay equations. Zbl 1519.39001 Chitour, Yacine; Fueyo, Sébastien; Mazanti, Guilherme; Sigalotti, Mario 2 2023 Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets. Zbl 1519.35354 Choi, Jae-Hwan; Kim, Kyeong-Hun; Ryu, Junhee 2 2023 Slope gap distribution of saddle connections on the \(2n\)-gon. Zbl 1520.37006 Berman, Jonah; McAdam, Taylor; Miller-Murthy, Ananth; Uyanik, Caglar; Wan, Hamilton 2 2023 Topological structures on saturated sets, optimal orbits and equilibrium states. Zbl 1518.37026 Hou, Xiaobo; Tian, Xueting; Zhang, Yiwei 2 2023 Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications. Zbl 1518.37072 Sakhnovich, Alexander 2 2023 Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in \(\mathbb{R}^N\). Zbl 1514.35451 Alarcón, Salomón; Barrios, Begoña; Quaas, Alexander 2 2023 Vacuum and singularity formation for compressible Euler equations with time-dependent damping. Zbl 1516.35321 Sui, Ying; Wang, Weiqiang; Yu, Huimin 2 2023 On Kato’s smoothing effect for a fractional version of the Zakharov-Kuznetsov equation. Zbl 1514.35423 Mendez, Argenis J. 2 2023 On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. Zbl 1514.35188 Lu, Siyuan 2 2023 Global dynamics of evolution systems with asymptotic annihilation. Zbl 1512.35100 Yi, Taishan; Zhao, Xiao-Qiang 2 2023 Propagation dynamics of a nonlocal reaction-diffusion system. Zbl 1512.35076 Han, Bang-Sheng; Kong, De-Yu 2 2023 Time-periodic solution to a three-phase model of viscoelastic fluid flow. Zbl 1515.35209 Du, Chengxin; Liu, Changchun; Mei, Ming 2 2023 Quenched limit theorems for random U(1) extensions of expanding maps. Zbl 1518.37063 Chung, Yong Moo; Nakano, Yushi; Wittsten, Jens 2 2023 Homogeneous spectrum of quasi-periodic Gevrey Schrödinger operators with Diophantine frequency. Zbl 1525.37052 Yang, Yan; Tao, Kai 2 2023 Generalized focal points and local Sturmian theory for linear Hamiltonian systems. Zbl 1530.37089 Šepitka, Peter; Šimon Hilscher, Roman 1 2023 Nondegeneracy and stability in the limit of a one-phase singular perturbation problem. Zbl 1526.35335 Kamburov, Nikola 1 2023 Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case. Zbl 1526.35087 Xu, Guangyu 1 2023 On some refraction billiards. Zbl 1517.70016 De Blasi, Irene; Terracini, Susanna 1 2023 Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. Zbl 07700760 del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. 1 2023 Crystalline surface diffusion flow for graph-like curves. Zbl 1518.35458 Giga, Mi-Ho; Giga, Yoshikazu 1 2023 The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds. Zbl 1518.35453 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 1 2023 Large time behavior for a nonlocal nonlinear gradient flow. Zbl 1518.35108 Li, Feng; Lindgren, Erik 1 2023 \( L^2 \)-gradient flows of spectral functionals. Zbl 07700771 Mazzoleni, Dario; Savaré, Giuseppe 1 2023 Hölder continuity of solutions for a class of drift-diffusion equations. Zbl 1518.35182 Nguyen, Quoc-Hung; Sire, Yannick; Truong, Le Xuan 1 2023 Remarks on the large data global solutions of \(3D\) RVP system and \(3D\) RVM system. Zbl 1519.35329 Wang, Xuecheng 1 2023 Nonexpansive directions in the Jeandel-Rao Wang shift. Zbl 1531.37016 Labbé, Sébastien; Mann, Casey; McLoud-Mann, Jennifer 1 2023 Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing. Zbl 1525.37028 Treviño, Rodrigo; Zelerowicz, Agnieszka 1 2023 Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients. Zbl 1518.28012 Hartono, Yusuf; Kraaikamp, Cor; Langeveld, Niels; Merriman, Claire 1 2023 Spatial dynamics of a nonlocal dispersal Leslie-Gower predator-prey model with some shifting habitats. Zbl 1518.35608 Fang, Qinhe; Cheng, Hongmei; Yuan, Rong 1 2023 Qualitative properties for solutions to conformally invariant fourth order critical systems. Zbl 1519.35100 Andrade, João Henrique; do Ó, João Marcos 1 2023 Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions. Zbl 1518.35552 Kukavica, Igor; Massatt, David; Ziane, Mohammed 1 2023 Scaling limit of a kinetic inhomogeneous stochastic system in the quadratic potential. Zbl 1515.60179 Cavallazzi, Thomas; Luirard, Emeline 1 2023 Standing waves with prescribed norm for the coupled Hartree-Fock system. Zbl 1519.35117 Luo, Xiao; Rădulescu, Vicenţiu D.; Zhen, Maoding 1 2023 Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. Zbl 07700753 Bonforte, Matteo; Dolbeault, Jean; Nazaret, Bruno; Simonov, Nikita 1 2023 Reducibility for a linear wave equation with Sobolev smooth fast-driven potential. Zbl 1539.35142 Franzoi, Luca 1 2023 Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences. Zbl 1525.37015 Lopez, Luis-Miguel; Narbel, Philippe 1 2023 Best constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\). Zbl 1520.35046 Cheng, Tingzhi; Zhang, Tao; Zhou, Chunqin 1 2023 A space-time nonlocal traffic flow model: relaxation representation and local limit. Zbl 1522.35331 Du, Qiang; Huang, Kuang; Scott, James; Shen, Wen 1 2023 A nonlinear elliptic problem involving the gradient on a half space. Zbl 1516.35201 Aghajani, Asadollah; Cowan, Craig; Lui, Shiu Hong 1 2023 On the fourth order semipositone problem in \(\mathbb{R}^N\). Zbl 1514.35149 Biswas, Nirjan; Das, Ujjal; Sarkar, Abhishek 1 2023 Relative topological conditional entropy and a Ledrappier’s type variational principle for it. Zbl 1518.37030 Zhang, Guohua; Zhu, Lili 1 2023 Segregated solutions for some non-linear Schrödinger systems with critical growth. Zbl 1514.35156 Chen, Haixia; Pistoia, Angela; Vaira, Giusi 1 2023 On a defocusing quasilinear Schrödinger equation with singular term. Zbl 1514.35131 Yang, Minbo; Santos, Carlos A.; Ubilla, Pedro; Zhou, Jiazheng 1 2023 Global well-posedness of the free boundary problem for the compressible Euler equations with damping and gravity. Zbl 1516.35317 Lian, Jiali; Wu, Huoxiong 1 2023 ...and 1438 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,060 Authors 145 Papageorgiou, Nikolaos S. 142 Llibre, Jaume 124 Li, Wan-Tong 114 Tang, Xianhua 105 Mu, Chunlai 101 Caraballo Garrido, Tomás 100 Rădulescu, Vicenţiu D. 96 Winkler, Michael 91 Wang, Mingxin 90 Miranville, Alain M. 88 Yang, Xiaofeng 86 Valdinoci, Enrico 85 Wang, Zhicheng 80 Wang, Bixiang 78 Yin, Zhaoyang 77 Valls Anglés, Cláudia 76 Wei, Juncheng 71 Tachim Medjo, Theodore 69 Wu, Jiahong 68 Guo, Boling 67 Shen, Wenxian 63 Ha, Seung-Yeal 62 Carrillo de la Plata, José Antonio 60 Coclite, Giuseppe Maria 60 Zhou, Shengfan 59 Kloeden, Peter Eris 59 Li, Yangrong 58 Grasselli, Maurizio 57 Chen, Sitong 57 de la Llave, Rafael 57 Vazquez, Juan Luis 56 Tang, Chun-Lei 55 Zhao, Caidi 53 Barreira, Luis Manuel 53 Chen, Haibo 53 Gao, Hongjun 53 Lee, Manseob 53 Tan, Zhong 52 Valero, José 52 Yang, Minbo 52 Yang, Zhijian 51 Colli, Pierluigi 51 Feng, Zhaosheng 51 Lou, Yuan 50 Ye, Zhuan 49 Ambrosio, Vincenzo 49 Yao, Zhengan 48 Du, Yihong 48 Lasiecka, Irena 48 Zhang, Jian 47 Kukavica, Igor 47 Li, Yeping 47 Morales Rojas, Carlos Arnoldo 47 Oprocha, Piotr 47 O’Regan, Donal 47 Zhang, Binlin 46 Dipierro, Serena 46 Guo, Zhengguang 46 Temam, Roger Meyer 46 Wang, Cheng 46 Zheng, Jiashan 45 Liu, Bin 45 Liu, Meng 45 Nguyen Huy Tuan 45 Ruan, Shigui 45 Zhang, Zujin 45 Zhong, Chengkui 44 Feng, Baowei 44 Rocca, Elisabetta 44 Shi, Junping 44 Xu, Junxiang 44 Yuan, Rong 43 Guo, Shangjiang 43 Liu, Chun 43 Liu, Yue 43 Titi, Edriss Saleh 43 Wang, Renhai 43 Zelik, Sergey V. 43 Zumbrun, Kevin R. 42 Wu, Shiliang 42 Zheng, Pan 41 Jiang, Daqing 41 Varandas, Paulo 41 Wu, Hao 40 Gala, Sadek 40 Peng, Rui 40 Wu, Tsungfang 40 Xiang, Zhaoyin 40 Yang, Xinguang 40 Zhang, Ting 39 Dragičević, Davor 39 Gal, Ciprian Gheorghe Sorin 39 Li, Yong 39 Lin, Zhigui 39 Lizama, Carlos 38 Freitas, Mirelson M. 38 Liu, Qiao 38 Lopes, Artur Oscar 38 Pelinovsky, Dmitry Efimovich 38 Tian, Lixin ...and 25,960 more Authors all top 5 Cited in 912 Journals 2,384 Journal of Differential Equations 1,796 Journal of Mathematical Analysis and Applications 1,217 Nonlinear Analysis. 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