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: 5,856 Publications (since 1995) References Indexed: 2,627 Publications with 73,096 References. all top 5 Latest Issues 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) 36, No. 10 (2016) 36, No. 9 (2016) 36, No. 8 (2016) 36, No. 7 (2016) 36, No. 6 (2016) 36, No. 5 (2016) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) ...and 177 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 15 Bona, Jerry Lloyd 15 Bressan, Alberto 15 Caraballo Garrido, Tomás 15 Grasselli, Maurizio 15 Ni, Wei-Ming 15 Shen, Wenxian 15 Wang, Bixiang 15 Wei, Juncheng 14 Graef, John R. 13 de la Llave, Rafael 13 Guo, Boling 13 Lou, Yuan 13 Oprocha, Piotr 13 Pata, Vittorino 13 Yin, Zhaoyang 12 Díaz Díaz, Jesús Ildefonso 12 Feng, Zhaosheng 12 Kloeden, Peter Eris 12 Mu, Chunlai 12 Ozawa, Tohru 12 Valdinoci, Enrico 11 Kukavica, Igor 11 López-Gómez, Julián 11 Papageorgiou, Nikolaos S. 11 Terracini, Susanna 10 Dancer, Edward Norman 10 Feireisl, Eduard 10 Gasull, Armengol 10 Giga, Yoshikazu 10 Kunisch, Karl 10 Lin, Fang Hua 10 Morales Rojas, Carlos Arnoldo 10 Ôtani, Mitsuharu 10 Urbański, Mariusz 10 Wang, Shouhong 10 Zhou, Shengfan 9 Chen, Gui-Qiang G. 9 Deng, Yinbin 9 Guo, Yuxia 9 Hilhorst, Danielle 9 Holden, Helge 9 Lasiecka, Irena 9 Li, Wan-Tong 9 Lopes, Artur Oscar 9 Lu, Kening 9 Minhós, Feliz Manuel 9 Sire, Yannick 9 Tan, Zhong 9 Xu, Junxiang 9 Yamazaki, Noriaki 9 Yotsutani, Shoji 9 Zhong, Chengkui 8 Chen, Xinfu 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 Lei, Yutian 8 Li, Yi 8 Lu, Xin 8 Misiurewicz, Michał 8 Ninomiya, Hirokazu 8 Peng, Shuangjie 8 Poláčik, Peter 8 Rădulescu, Vicenţiu D. 8 Real Anguas, José 8 Rodríguez-Bernal, Aníbal 8 Shi, Junping 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 8 Zelik, Sergey V. 8 Zhao, Yun 7 Artigue, Alfonso 7 Belinsky, Boris P. 7 Cao, Yongluo ...and 6,918 more Authors all top 5 Fields 3,087 Partial differential equations (35-XX) 2,068 Dynamical systems and ergodic theory (37-XX) 938 Ordinary differential equations (34-XX) 636 Fluid mechanics (76-XX) 441 Biology and other natural sciences (92-XX) 351 Operator theory (47-XX) 351 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 4,773 Publications have been cited 47,067 times in 33,964 Documents Cited by ▼ Year ▼ Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184 Shen, Jie; Yang, Xiaofeng 500 2010 Variational methods for non-local operators of elliptic type. Zbl 1303.35121 Servadei, Raffaella; Valdinoci, Enrico 417 2013 Global attractors for damped semilinear wave equations. Zbl 1056.37084 Ball, J. M. 302 2004 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. 286 2008 Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185 Hou, Thomas Y.; Li, Congming 248 2005 Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048 Li, Xiaoyue; Mao, Xuerong 228 2009 Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307 Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang 192 2007 Remarks on regularities for the 3D MHD equations. Zbl 1068.35117 Zhou, Yong 176 2005 Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068 Wang, Bixiang 176 2014 The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057 Galaktionov, Victor A.; Vázquez, Juan L. 168 2002 Random dispersal vs. non-local dispersal. Zbl 1187.35127 Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian 164 2010 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. 159 2010 Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105 Tao, Youshan; Winkler, Michael 148 2012 Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 1515.35047 Cao, Xinru 148 2015 Vacuum states for compressible flow. Zbl 0970.76084 Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 143 1998 Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276 Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 131 2013 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166 Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 129 2010 Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427 Wang, Zhengping; Zhou, Huan-Song 128 2007 A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052 Léonard, Christian 127 2014 On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033 Huan, Song-Mei; Yang, Xiao-Song 124 2012 Qualitative properties of solutions for an integral equation. Zbl 1081.45003 Chen, Wenxiong; Li, Congming; Ou, Biao 120 2005 BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452 Lei, Zhen; Zhou, Yi 119 2009 Global stability for damped Timoshenko systems. Zbl 1047.35023 Muñoz Rivera, J. E.; Racke, R. 117 2003 Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129 Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 116 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. 116 2008 Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059 Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou 115 2016 Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094 Lu, Songsong; Wu, Hongqing; Zhong, Chengkui 106 2005 Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099 Holden, Helge; Raynaud, Xavier 102 2009 Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051 Tang, Xianhua; Chen, Sitong 101 2017 Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098 Lin, Fang-Hua; Liu, Chun 100 1996 Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009 Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando 97 2015 Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130 Guo, Jong-Shenq; Morita, Yoshihisa 96 2005 Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069 Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong 96 2012 Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015 Serfaty, Sylvia 94 2011 Piecewise linear perturbations of a linear center. Zbl 1312.37037 Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan 94 2013 Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011 Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey 91 2004 Ergodic optimization. Zbl 1116.37017 Jenkinson, Oliver 89 2006 Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067 Li, Ta-Tsien; Zhou, Yi 88 1995 Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306 Cuesta, Eduardo 87 2007 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 86 2014 Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 84 2005 The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319 Cao, Yong-Luo; Feng, De-Jun; Huang, Wen 83 2008 Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062 Wu, Jiahong 83 2004 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 83 2016 Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215 Wang, Liangchen; Li, Yuhuan; Mu, Chunlai 83 2014 Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002 Cosner, Chris 83 2014 On the global existence of a cross-diffusion system. Zbl 0960.35049 Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 82 1998 An integral system and the Lane-Emden conjecture. Zbl 1176.35067 Chen, Wenxiong; Li, Congming 82 2009 Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030 Huang, Jianhua; Zou, Xingfu 81 2003 Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270 Brasco, Lorenzo; Parini, Enea; Squassina, Marco 80 2016 Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076 Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J. 79 2003 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 74 2003 The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327 Peng, Rui; Zhao, Xiao-Qiang 74 2013 Wellposedness for a parabolic-elliptic system. Zbl 1082.35056 Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl 73 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. 71 2011 Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542 Berestycki, Henri; Rossi, Luca 71 2008 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360 Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 70 2004 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 69 2004 Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575 Lankeit, Johannes; Wang, Yulan 69 2017 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082 Genoud, François; Stuart, Charles A. 69 2008 A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086 Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian 68 2003 Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111 Zhang, Jian; Zhang, Wen; Tang, Xianhua 67 2017 On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007 Sun, Huan; Liu, Chun 66 2009 Sharp well-posedness results for the BBM equation. Zbl 1170.35303 Bona, Jerry; Tzvetkov, Nikolay 66 2009 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. 66 2017 The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065 Ju, Ning 65 2007 Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072 Zhou, Peng; Xiao, Dongmei; Lou, Yuan 65 2016 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012 Gazzola, Filippo; Ferrero, Alberto 64 2015 Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088 Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao 63 2015 The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086 Linares, F.; Saut, Jean-Claude 62 2009 Random dynamics of fractional nonclassical diffusion equations driven by colored noise. Zbl 1414.37032 Wang, Renhai; Li, Yangrong; Wang, Bixiang 62 2019 Longtime behavior for a model of homogeneous incompressible two-phase flows. Zbl 1194.35056 Gal, Ciprian G.; Grasselli, Maurizio 61 2010 Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123 Yin, Zhaoyang 61 2004 Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432 Bociu, Lorena; Lasiecka, Irena 61 2008 Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214 Ishida, Sachiko 61 2015 Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012 Ninomiya, Hirokazu; Taniguchi, Masaharu 60 2006 Unique continuation properties for relativistic Schrödinger operators with a singular potential. Zbl 1336.35356 Fall, Mouhamed Moustapha; Felli, Veronica 60 2015 Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026 Chen, Sitong; Tang, Xianhua 60 2018 Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136 Cao, Chongsheng 59 2010 Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032 Belleri, Veronica; Pata, Vittorino 59 2001 Cauchy problem for the Ostrovsky equation. Zbl 1059.35035 Varlamov, V.; Liu, Yue 59 2004 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 58 2006 Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031 Caraballo, Tomás; Langa, José A.; Robinson, James C. 58 2000 The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353 Gal, Ciprian G.; Grasselli, Maurizio 58 2008 Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian. Zbl 1333.31013 Abatangelo, Nicola 58 2015 Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058 Lin, Jiayun; Nishihara, Kenji; Zhai, Jian 58 2012 A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061 Holden, Helge; Raynaud, Xavier 57 2006 A Harnack inequality for fractional Laplace equations with lower order terms. Zbl 1269.26005 Tan, Jinggang; Xiong, Jingang 57 2011 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 57 2009 Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164 Pankov, A. 57 2007 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407 Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 56 2015 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. 55 1997 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315 Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 55 2009 Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017 Bressan, Alberto; Chen, Geng; Zhang, Qingtian 55 2015 Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031 Mallet-Paret, John; Nussbaum, Roger D. 54 2002 Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 54 2009 Stabilization for the 3D Navier-Stokes system by feedback boundary control. Zbl 1174.93675 Fursikov, A. V. 54 2004 Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114 Zhang, Ting; Fang, Daoyuan; Chen, Hui 54 2017 Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067 Mu, Chunlai; Lin, Ke 54 2016 Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242 Cabré, Xavier; Cinti, Eleonora 54 2010 Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. Zbl 07770129 Li, Quanqing; Zou, Wenming 3 2024 The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. Zbl 07787720 Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin 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 9 2023 The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains. Zbl 1518.35440 Bonforte, Matteo; Ibarrondo, Peio; Ispizua, Mikel 5 2023 Ergodic average of typical orbits and typical functions. Zbl 1523.37011 Hou, Xiaobo; Lin, Wanshan; Tian, Xueting 3 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. 3 2023 KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067 Li, Jing; Qi, Jiangang; Yuan, Xiaoping 3 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 3 2023 Discrete geometric singular perturbation theory. Zbl 07688141 Jelbart, Samuel; Kuehn, Christian 2 2023 Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity. Zbl 1514.35217 Ben Ayed, Mohamed; Fourti, Habib; Ghoudi, Rabeh 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 Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case. Zbl 1519.35148 Feng, Xiaojing; Liu, Haidong; Zhang, Zhitao 2 2023 Rigidity for some cases of Anosov endomorphisms of torus. Zbl 1522.37045 Micena, Fernando 2 2023 On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. Zbl 1514.35188 Lu, Siyuan 1 2023 Global dynamics of evolution systems with asymptotic annihilation. Zbl 1512.35100 Yi, Taishan; Zhao, Xiao-Qiang 1 2023 Propagation dynamics of a nonlocal reaction-diffusion system. Zbl 1512.35076 Han, Bang-Sheng; Kong, De-Yu 1 2023 Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: spreading speed. Zbl 1514.35055 Wang, Rong; Du, Yihong 1 2023 Slow entropy for some Anosov-Katok diffeomorphisms. Zbl 1518.37038 Banerjee, Shilpak; Kunde, Philipp; Wei, Daren 1 2023 Time-periodic solution to a three-phase model of viscoelastic fluid flow. Zbl 1515.35209 Du, Chengxin; Liu, Changchun; Mei, Ming 1 2023 Quenched limit theorems for random U(1) extensions of expanding maps. Zbl 1518.37063 Chung, Yong Moo; Nakano, Yushi; Wittsten, Jens 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 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 A 3D-Schrödinger operator under magnetic steps with semiclassical applications. Zbl 1514.35123 Assaad, Wafaa; Giacomelli, Emanuela L. 1 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 1 2023 Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems. Zbl 1526.37024 Cheban, David 1 2023 Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces. Zbl 1525.35239 Zhanpeisov, Erbol 1 2023 Qualitative properties of singular solutions to the fractional Yamabe problem. Zbl 1525.35128 Cruz-Blázquez, Sergio; DelaTorre, Azahara; Ruiz, David 1 2023 Stability of a class of action functionals depending on convex functions. Zbl 1518.49015 Ambrosio, Luigi; Brena, Camillo 1 2023 The stickiness property for antisymmetric nonlocal minimal graphs. Zbl 1518.35617 Baronowitz, Benjamin; Dipierro, Serena; Valdinoci, Enrico 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 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 1 2023 Symmetrization for fractional nonlinear elliptic problems. Zbl 1518.35629 Ferone, Vincenzo; Volzone, Bruno 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 Emergence of biological transportation networks as a self-regulated process. Zbl 1518.35216 Haskovec, Jan; Markowich, Peter; Portaro, Simone 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 A game theoretical approximation for a parabolic/elliptic system with different operators. Zbl 1518.35225 Miranda, Alfredo; Rossi, Julio D. 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 Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth. Zbl 1518.35152 Pierre, Michel; Schmitt, Didier 1 2023 Universal estimates and Liouville theorems for superlinear problems without scale invariance. Zbl 1518.35344 Souplet, Philippe 1 2023 Remarks on the large data global solutions of \(3D\) RVP system and \(3D\) RVM system. Zbl 1519.35329 Wang, Xuecheng 1 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 1 2023 Wellposedness of an elliptic-dispersive coupled system for MEMS. Zbl 1525.35073 Gimperlein, Heiko; He, Runan; Lacey, Andrew A. 1 2023 Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing. Zbl 1525.37028 Treviño, Rodrigo; Zelerowicz, Agnieszka 1 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 1 2023 Long-time behavior of solutions to the \(M_1\) model with boundary effect. Zbl 1515.85025 Zhang, Nangao; Zhu, Changjiang 1 2023 Non-autonomous stochastic lattice systems with Markovian switching. Zbl 1519.37105 Li, Dingshi; Lin, Yusen; Pu, Zhe 1 2023 Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory. Zbl 1519.39011 Skiba, Robert; Waterstraat, Nils 1 2023 Vacuum and singularity formation for compressible Euler equations with time-dependent damping. Zbl 1516.35321 Sui, Ying; Wang, Weiqiang; Yu, Huimin 1 2023 Exponential and sub-exponential stability times for the derivative wave equation. Zbl 1519.37092 Sun, Yingte; Li, Siming; Wu, Xiaoqing 1 2023 Bistable pulsating wave of a competition model in rapidly varying media and its homogenization limit. Zbl 1514.35084 Ding, Weiwei; Huang, Rui; Yu, Xiao 1 2023 Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347 Du, Yihong; Wang, Mingxin; Zhao, Meng 24 2022 Global well-posedness for fractional Sobolev-Galpern type equations. Zbl 1489.35303 Nguyen, Huy Tuan; Tuan, Nguyen Anh; Yang, Chao 12 2022 Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems. 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Zbl 1494.35032 Chen, Mingming; Geng, Xianguo; Wang, Kedong 5 2022 Shadowing for families of endomorphisms of generalized group shifts. Zbl 1492.37023 Phung, Xuan Kien 4 2022 Lifting the regionally proximal relation and characterizations of distal extensions. Zbl 1496.37007 Cao, Kai; Dai, Xiongping 4 2022 A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials. Zbl 1490.35331 Li, Dong 4 2022 Vortex collapses for the Euler and quasi-geostrophic models. Zbl 1491.76018 Godard-Cadillac, Ludovic 4 2022 On information gain, Kullback-Leibler divergence, entropy production and the involution kernel. Zbl 07535670 Lopes, Artur O.; Mengue, Jairo K. 4 2022 The nonlocal-interaction equation near attracting manifolds. Zbl 1482.35007 Patacchini, Francesco S.; Slepčev, Dejan 4 2022 Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations. Zbl 1502.35034 Shang, Bin; Zhang, Chao 4 2022 Design of the monodomain model by artificial neural networks. 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Zbl 1491.60081 Huang, Xing; Song, Yulin; Wang, Feng-Yu 3 2022 The relaxation limit of bipolar fluid models. Zbl 1481.35318 Alves, Nuno J.; Tzavaras, Athanasios E. 2 2022 Inducing schemes for multi-dimensional piecewise expanding maps. Zbl 1486.37021 Eslami, Peyman 2 2022 Optimal boundary regularity for some singular Monge-Ampère equations on bounded convex domains. Zbl 1490.35193 Le, Nam Q. 2 2022 Stability, free energy and dynamics of multi-spikes in the minimal Keller-Segel model. Zbl 1494.35027 Kong, Fanze; Wang, Qi 2 2022 Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields. Zbl 1489.35254 Kim, Jeongho; Moon, Bora 2 2022 Higher order parabolic boundary Harnack inequality in \(C^1\) and \(C^{k, \alpha}\) domains. Zbl 1490.35061 Kukuljan, Teo 2 2022 ...and 1435 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 23,901 Authors 137 Papageorgiou, Nikolaos S. 132 Llibre, Jaume 117 Li, Wan-Tong 104 Mu, Chunlai 103 Tang, Xianhua 97 Caraballo Garrido, Tomás 92 Rădulescu, Vicenţiu D. 89 Wang, Mingxin 86 Winkler, Michael 84 Miranville, Alain M. 83 Yang, Xiaofeng 82 Valdinoci, Enrico 78 Wang, Bixiang 75 Valls Anglés, Cláudia 73 Yin, Zhaoyang 67 Wei, Juncheng 65 Shen, Wenxian 64 Wu, Jiahong 61 Ha, Seung-Yeal 60 Wang, Zhi Cheng 58 Zhou, Shengfan 57 Coclite, Giuseppe Maria 57 Guo, Boling 56 Li, Yangrong 55 Carrillo de la Plata, José Antonio 55 de la Llave, Rafael 54 Grasselli, Maurizio 54 Vazquez, Juan Luis 53 Barreira, Luis Manuel 53 Chen, Sitong 53 Kloeden, Peter Eris 53 Tang, Chun-Lei 51 Tan, Zhong 51 Zhao, Caidi 50 Lee, Manseob 50 Valero, José 49 Lou, Yuan 49 Yang, Zhijian 48 Chen, Haibo 48 Colli, Pierluigi 48 Gao, Hongjun 47 Feng, Zhaosheng 46 Li, Yeping 46 Yang, Minbo 45 Yao, Zhengan 45 Zhang, Jian 44 Dipierro, Serena 44 Dragičević, Davor 44 Shi, Junping 44 Wang, Cheng 44 Zheng, Jiashan 43 Guo, Zhengguang 43 Liu, Meng 43 Oprocha, Piotr 43 Temam, Roger Meyer 43 Zhong, Chengkui 42 Ambrosio, Vincenzo 42 Du, Yihong 42 Lasiecka, Irena 42 Liu, Yue 42 Morales Rojas, Carlos Arnoldo 42 O’Regan, Donal 42 Ruan, Shigui 42 Xu, Junxiang 42 Zelik, Sergey V. 42 Zhang, Binlin 42 Zhang, Zujin 42 Zumbrun, Kevin R. 41 Rocca, Elisabetta 41 Yuan, Rong 41 Zheng, Pan 40 Kukavica, Igor 40 Liu, Bin 40 Liu, Chun 40 Nguyen Huy Tuan 40 Titi, Edriss Saleh 39 Gala, Sadek 39 Peng, Rui 39 Wang, Renhai 39 Wu, Shiliang 38 Gal, Ciprian Gheorghe Sorin 38 Jiang, Daqing 38 Varandas, Paulo 38 Wu, Hao 38 Xiang, Zhaoyin 37 Guo, Shangjiang 37 Liu, Qiao 37 Wu, Tsungfang 36 Lopes, Artur Oscar 36 Wang, Ke 36 Zhang, Ting 36 Zhao, Jia 35 Bressan, Alberto 35 Feng, Baowei 35 Lin, Zhigui 35 Pata, Vittorino 35 Pelinovsky, Dmitry Efimovich 35 Zhao, Xiao-Qiang 35 Zhou, Jun 34 Li, Yong ...and 23,801 more Authors all top 5 Cited in 884 Journals 2,226 Journal of Differential Equations 1,661 Journal of Mathematical Analysis and Applications 1,167 Nonlinear Analysis. 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