## 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/journal/1078-0947http://aimsciences.org/journals/home.jsp?journalID=1http://aimsciences.org/conferences/proceeding.html Comments: Indexed cover-to-cover; The electronic version has the addition: Series A.
 Documents Indexed: 5,595 Publications (since 1995) References Indexed: 2,366 Publications with 65,152 References.
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### Authors

 20 Llibre, Jaume 19 Temam, Roger Meyer 17 Li, Congming 17 Miranville, Alain M. 17 Valls Anglés, Cláudia 16 Barreira, Luis Manuel 16 Chen, Wenxiong 15 Bona, Jerry Lloyd 15 Bressan, Alberto 15 Ni, Wei-Ming 15 Wang, Bixiang 15 Wei, Juncheng 14 Caraballo Garrido, Tomás 14 Graef, John R. 14 Grasselli, Maurizio 14 Shen, Wenxian 13 de la Llave, Rafael 13 Guo, Boling 13 Lou, Yuan 13 Oprocha, Piotr 13 Pata, Vittorino 13 Yin, Zhaoyang 12 Kloeden, Peter Eris 12 Mu, Chunlai 12 Ozawa, Tohru 11 Diaz Diaz, Jesus Ildefonso 11 Feng, Zhaosheng 11 López-Gómez, Julián 11 Papageorgiou, Nikolaos S. 10 Dancer, Edward Norman 10 Feireisl, Eduard 10 Gasull, Armengol 10 Kukavica, Igor 10 Lin, Fang Hua 10 Ôtani, Mitsuharu 10 Terracini, Susanna 10 Urbański, Mariusz 10 Valdinoci, Enrico 10 Wang, Shouhong 10 Zhou, Shengfan 9 Giga, Yoshikazu 9 Hilhorst, Danielle 9 Lasiecka, Irena 9 Li, Wan-Tong 9 Lu, Kening 9 Minhós, Feliz Manuel 9 Tan, Zhong 9 Yamazaki, Noriaki 9 Yotsutani, Shoji 9 Zhong, Chengkui 8 Chen, Gui-Qiang G. 8 Chen, Xinfu 8 Deng, Yinbin 8 Dong, Hongjie 8 Dumortier, Freddy 8 Feng, Wei 8 Galatolo, Stefano 8 Gazzola, Filippo 8 Guo, Yuxia 8 Holden, Helge 8 Jiang, Yunping 8 Kong, Lingju 8 Kunisch, Karl 8 Lei, Yutian 8 Li, Yi 8 Lopes, Artur Oscar 8 Lu, Xin 8 Misiurewicz, Michał 8 Morales, Carlos Arnoldo 8 Ninomiya, Hirokazu 8 Peng, Shuangjie 8 Poláčik, Peter 8 Real Anguas, José 8 Rodríguez-Bernal, Aníbal 8 Shi, Junping 8 Taniguchi, Masaharu 8 Trofimchuk, Sergei I. 8 Valero, José 8 Vazquez, Juan Luis 8 Wang, Mingxin 8 Wang, Zhi-Qiang 8 Wen, Lan 8 Xu, Junxiang 8 Yamada, Yoshio 8 Yokota, Tomomi 8 Zhao, Yun 7 Artigue, Alfonso 7 Belinsky, Boris P. 7 Cao, Yongluo 7 Chen, Ercai 7 Chepyzhov, Vladimir V. 7 Chu, Jifeng 7 Coclite, Giuseppe Maria 7 Figalli, Alessio 7 Fonda, Alessandro 7 Gan, Shaobo 7 García-Huidobro, Marta 7 Ha, Seung-Yeal 7 Han, Maoan 7 Hou, Thomas Yizhao ...and 6,554 more Authors
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### Fields

 2,924 Partial differential equations (35-XX) 1,987 Dynamical systems and ergodic theory (37-XX) 920 Ordinary differential equations (34-XX) 609 Fluid mechanics (76-XX) 421 Biology and other natural sciences (92-XX) 345 Calculus of variations and optimal control; optimization (49-XX) 336 Operator theory (47-XX) 292 Numerical analysis (65-XX) 250 Probability theory and stochastic processes (60-XX) 219 Mechanics of particles and systems (70-XX) 196 Differential geometry (53-XX) 196 Global analysis, analysis on manifolds (58-XX) 194 Systems theory; control (93-XX) 177 Mechanics of deformable solids (74-XX) 150 Measure and integration (28-XX) 142 Statistical mechanics, structure of matter (82-XX) 130 Integral equations (45-XX) 95 Difference and functional equations (39-XX) 91 General topology (54-XX) 82 Classical thermodynamics, heat transfer (80-XX) 75 Quantum theory (81-XX) 74 Functional analysis (46-XX) 68 Number theory (11-XX) 65 Real functions (26-XX) 56 Optics, electromagnetic theory (78-XX) 53 Functions of a complex variable (30-XX) 53 Geophysics (86-XX) 49 Operations research, mathematical programming (90-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Topological groups, Lie groups (22-XX) 38 General and overarching topics; collections (00-XX) 34 Manifolds and cell complexes (57-XX) 32 Convex and discrete geometry (52-XX) 31 Combinatorics (05-XX) 31 Potential theory (31-XX) 30 Several complex variables and analytic spaces (32-XX) 28 Group theory and generalizations (20-XX) 27 Computer science (68-XX) 23 Approximations and expansions (41-XX) 19 Information and communication theory, circuits (94-XX) 18 Algebraic geometry (14-XX) 18 Statistics (62-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 History and biography (01-XX) 14 Abstract harmonic analysis (43-XX) 14 Algebraic topology (55-XX) 13 Special functions (33-XX) 12 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Mathematical logic and foundations (03-XX) 8 Field theory and polynomials (12-XX) 6 Integral transforms, operational calculus (44-XX) 5 Nonassociative rings and algebras (17-XX) 5 Geometry (51-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)

### Citations contained in zbMATH Open

4,413 Publications have been cited 38,015 times in 27,796 Documents Cited by Year
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
2010
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
2013
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
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.
2008
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
2009
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
2005
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
2007
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
2005
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
2002
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
2014
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.
2010
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
1998
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
2010
Positive solution for a nonlinear stationary Schrödinger-Poisson system in $$\mathbb R^3$$. Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
2007
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 06384058
Cao, Xinru
2015
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
2009
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2010
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
2005
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
2013
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
2003
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
2012
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.
2008
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
2009
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
2004
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
2012
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
2016
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
2014
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
2005
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
2007
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
1998
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
2017
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2015
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
2015
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2005
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
1996
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
2006
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
2003
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
2011
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
2013
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
2004
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
2009
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
2003
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
2016
Breakdown of solutions to $$\square u+u_ t=| u| ^{1+\alpha}$$. Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
1995
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
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
2014
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
2003
Stability of variational eigenvalues for the fractional $$p$$-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
2016
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
2013
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
2004
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
2005
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
2004
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
2008
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
2003
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.
2011
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
2009
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
2004
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
2009
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
2014
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
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.
2017
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
2008
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
2007
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2006
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
2006
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
2015
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
2015
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
2008
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031
Mallet-Paret, John; Nussbaum, Roger D.
2002
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
2015
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
2007
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2009
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
2012
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
2004
Attractors for semilinear strongly damped wave equations on $$\mathbb{R}^3$$. Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
2001
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
2006
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
2008
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.
1997
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
2018
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2000
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
2009
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242
Cabré, Xavier; Cinti, Eleonora
2010
Stabilization for the 3D Navier-Stokes system by feedback boundary control. Zbl 1174.93675
Fursikov, A. V.
2004
Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111
Zhang, Jian; Zhang, Wen; Tang, Xianhua
2017
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
2010
Mean field equations of Liouville type with singular data: sharper estimates. Zbl 1211.35263
Chen, Chiun-Chuan; Lin, Chang-Shou
2010
An Evans function approach to spectral stability of small-amplitude shock profiles. Zbl 1058.35164
Plaza, Ramon; Zumbrun, Kevin
2004
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
2016
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
2003
A Harnack inequality for fractional Laplace equations with lower order terms. Zbl 1269.26005
Tan, Jinggang; Xiong, Jingang
2011
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
2008
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
2017
On well-posedness of the Degasperis-Procesi equation. Zbl 1237.35137
Himonas, A. Alexandrou; Holliman, Curtis
2011
Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers. Zbl 1211.93103
Raymond, Jean-Pierre; Thevenet, Laetitia
2010
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
2016
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
2009
An overview on linear and nonlinear Dirac equations. Zbl 1162.49307
Esteban, Maria J.; Séré, Eric
2002
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
2005
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
2022
One component regularity criteria for the axially symmetric MHD-Boussinesq system. Zbl 1490.35337
Li, Zijin; Pan, Xinghong
2022
Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems. Zbl 1483.35094
Mukherjee, Tuhina; Pucci, Patrizia; Xiang, Mingqi
2022
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction. Zbl 07463728
Colombo, Giovanni; Gidoni, Paolo; Vilches, Emilio
2022
Fujita type results for quasilinear parabolic inequalities with nonlocal terms. Zbl 1484.35420
Filippucci, Roberta; Ghergu, Marius
2022
Polynomial ergodic averages for certain countable ring actions. Zbl 07535663
Best, Andrew; Moragues, Andreu Ferré
2022
Shadowing for families of endomorphisms of generalized group shifts. Zbl 07451267
Phung, Xuan Kien
2022
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II. Zbl 1480.35039
Ishige, Kazuhiro; Tateishi, Yujiro
2022
The Brinkman-Fourier system with ideal gas equilibrium. Zbl 07451274
Liu, Chun; Sulzbach, Jan-Eric
2022
Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics. Zbl 07463727
Park, Hansol
2022
Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis. Zbl 1482.35043
Ren, Guoqiang; Liu, Bin
2022
On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. Zbl 1481.74516
Piersanti, Paolo
2022
Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Zbl 1491.37025
Frettlöh, Dirk; Garber, Alexey; Sadun, Lorenzo
2022
Lower bounds for Orlicz eigenvalues. Zbl 1484.35226
Salort, Ariel
2022
Eternal solutions for a reaction-diffusion equation with weighted reaction. Zbl 1483.35065
Iagar, Razvan Gabriel; Sánchez, Ariel
2022
High and low perturbations of Choquard equations with critical reaction and variable growth. Zbl 07481828
Zhang, Youpei; Tang, Xianhua; Rădulescu, Vicenţiu D.
2022
Crystalline flow starting from a general polygon. Zbl 07481830
Giga, Mi-Ho; Giga, Yoshikazu; Kuroda, Ryo; Ochiai, Yusuke
2022
Refinements of topological invariants of flows. Zbl 07513972
Yokoyama, Tomoo
2022
The primitive equations of the polluted atmosphere as a weak and strong limit of the 3D Navier-Stokes equations in downwind-matching coordinates. Zbl 1489.35281
Donatelli, Donatella; Juhász, Nóra
2022
Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on $$\mathbb{R}^N$$. Zbl 07528598
Shen, Wenxian; Xue, Shuwen
2022
The mean-field limit of the Lieb-Liniger model. Zbl 1490.35445
Rosenzweig, Matthew
2022
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
2021
Mean equicontinuity, complexity and applications. Zbl 1460.37009
Li, Jie; Ye, Xiangdong; Yu, Tao
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
2021
Singular solutions of a Lane-Emden system. Zbl 1459.35141
Cowan, Craig; Razani, Abdolrahman
2021
A new approach to MGT-thermoviscoelasticity. Zbl 1479.35855
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon
2021
Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H.
2021
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
2021
McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance. Zbl 1466.60119
Huang, Xing; Wang, Feng-Yu
2021
A posteriori error estimates for self-similar solutions to the Euler equations. Zbl 1460.35268
Bressan, Alberto; Shen, Wen
2021
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Zbl 1467.34043
Guan, Yi; Fečkan, Michal; Wang, Jinrong
2021
Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source. Zbl 1465.35277
Xu, Lu; Mu, Chunlai; Xin, Qiao
2021
Entire and ancient solutions of a supercritical semilinear heat equation. Zbl 1458.35228
Poláčik, Peter; Quittner, Pavol
2021
The unique measure of maximal entropy for a compact rank one locally CAT(0) space. Zbl 1460.37034
Ricks, Russell
2021
Asymptotic stability in a chemotaxis-competition system with indirect signal production. Zbl 1460.35360
Zheng, Pan
2021
Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents. Zbl 1473.35306
Yang, Minbo; Zhao, Fukun; Zhao, Shunneng
2021
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere. Zbl 1461.37044
Nozdrinova, Elena; Pochinka, Olga
2021
Mean-square random invariant manifolds for stochastic differential equations. Zbl 1467.37053
Wang, Bixiang
2021
Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential. Zbl 1470.35369
Signori, Andrea
2021
Approximation properties of Lüroth expansions. Zbl 1469.11255
Tan, Bo; Zhou, Qinglong
2021
Existence of solution for a class of heat equation in whole $$\mathbb{R}^N$$. Zbl 1465.35283
Alves, Claudianor O.; Boudjeriou, Tahir
2021
Centralizers of partially hyperbolic diffeomorphisms in dimension 3. Zbl 1489.37035
Barthelmé, Thomas; Gogolev, Andrey
2021
Multiple positive bound state solutions for a critical Choquard equation. Zbl 1468.81041
Alves, Claudianor O.; Figueiredo, Giovany M.; Molle, Riccardo
2021
Time-fractional equations with reaction terms: fundamental solutions and asymptotics. Zbl 1458.35448
Dipierro, Serena; Pellacci, Benedetta; Valdinoci, Enrico; Verzini, Gianmaria
2021
Inverse problems for nonlinear hyperbolic equations. Zbl 1458.35486
Uhlmann, Gunther; Zhai, Jian
2021
Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for $$\beta$$-transformation. Zbl 1460.37015
Xiao, Yuanfen
2021
Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the $$L^2$$-supercritical case. Zbl 1460.35329
Landoulsi, Oussama
2021
Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay. Zbl 1477.34081
Cheng, Feifei; Li, Ji
2021
$$N$$-Laplacian problems with critical double exponential nonlinearities. Zbl 1459.35118
Deng, Shengbing; Hu, Tingxi; Tang, Chun-Lei
2021
Pomeau-Manneville maps are global-local mixing. Zbl 1464.37045
Bonanno, Claudio; Lenci, Marco
2021
Global large solutions and optimal time-decay estimates to the Korteweg system. Zbl 1460.35300
Zhai, Xiaoping; Li, Yongsheng
2021
Existence of nodal solutions for the sublinear Moore-Nehari differential equation. Zbl 1464.34039
Kajikiya, Ryuji
2021
Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order. Zbl 1459.35380
Le, Phuong
2021
Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables. Zbl 1461.37011
Galatolo, Stefano; Holland, Mark; Persson, Tomas; Zhang, Yiwei
2021
Strichartz estimates and local regularity for the elastic wave equation with singular potentials. Zbl 1458.35081
Kim, Seongyeon; Kwon, Yehyun; Seo, Ihyeok
2021
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries. Zbl 1473.37077
Fan, Zhiping; Zhang, Duanzhi
2021
On the vanishing discount problem from the negative direction. Zbl 1470.35136
Davini, Andrea; Wang, Lin
2021
Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions. Zbl 1470.37037
Muni, Sishu Shankar; McLachlan, Robert I.; Simpson, David J. W.
2021
Random substitution tilings and deviation phenomena. Zbl 1466.52023
Schmieding, Scott; Treviño, Rodrigo
2021
Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions. Zbl 1470.35284
Hussein, Amru; Saal, Martin; Wrona, Marc
2021
Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media. Zbl 1465.35051
Takagi, Izumi; Zhang, Conghui
2021
$$BV$$ solution for a non-linear Hamilton-Jacobi system. Zbl 1465.35112
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2021
Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains. Zbl 1470.35263
Yang, Xin-Guang; Wang, Rong-Nian; Yan, Xingjie; Miranville, Alain
2021
Second order estimates for complex Hessian equations on Hermitian manifolds. Zbl 1466.35108
Dong, Weisong; Li, Chang
2021
Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case. Zbl 1466.35139
Zhen, Maoding; Zhang, Binlin; Rădulescu, Vicenţiu D.
2021
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth. Zbl 1467.35361
Lederman, Claudia; Wolanski, Noemi
2021
On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188
2021
On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension $$n$$. Zbl 1482.35184
Ding, Yanheng; Dong, Xiaojing; Guo, Qi
2021
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations. Zbl 1466.35188
Fazly, Mostafa; Li, Yuan
2021
Singular double-phase systems with variable growth for the Baouendi-Grushin operator. Zbl 1467.35163
Bahrouni, Anouar; Rădulescu, Vicenţiu D.
2021
Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with $$L_\infty$$ tensor coefficient under relaxed ellipticity condition. Zbl 1473.35216
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2021
Pointwise gradient bounds for a class of very singular quasilinear elliptic equations. Zbl 1466.35231
Tran, Minh-Phuong; Nguyen, Thanh-Nhan
2021
Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity. Zbl 1469.35063
Mukai, Asato; Seki, Yukihiro
2021
Convergence of nonlocal geometric flows to anisotropic mean curvature motion. Zbl 1471.53072
Cesaroni, Annalisa; Pagliari, Valerio
2021
Global existence and decay rates of the solutions for a chemotaxis system with Lotka-Volterra type model for chemoattractant and repellent. Zbl 1486.35394
Hattori, Harumi; Lagha, Aesha
2021
Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity. Zbl 1483.35123
Berti, Diego; Corli, Andrea; Malaguti, Luisa
2021
Minimal collision arcs asymptotic to central configurations. Zbl 1478.70007
Barutello, Vivina; Canneori, Gian Marco; Terracini, Susanna
2021
Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. Zbl 1460.76146
Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios
2021
Function approximation via the subsampled Poincaré inequality. Zbl 1458.35008
Chen, Yifan; Hou, Thomas Y.
2021
Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions. Zbl 1459.35144
Marcos do Ó, João; Ribeiro, Bruno; Ruf, Bernhard
2021
A brief and personal history of stochastic partial differential equations. Zbl 1460.60070
Zambotti, Lorenzo
2021
Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains. Zbl 1458.35457
Ma, Lingwei; Zhang, Zhenqiu
2021
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity. Zbl 1458.35067
Mei, Xinyu; Xiong, Yangmin; Sun, Chunyou
2021
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
Large time behavior of exchange-driven growth. Zbl 1462.34035
Esentürk, Emre; Velazquez, Juan
2021
Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions. Zbl 1460.35294
Luo, Yi-Long; Ma, Yangjun
2021
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation. Zbl 1459.35157
Guo, Helin; Zhou, Huan-Song
2021
Multiple ergodic averages for tempered functions. Zbl 1466.37004
Koutsogiannis, Andreas
2021
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321
Comech, Andrew; Cuccagna, Scipio
2021
On entropy of $$\Phi$$-irregular and $$\Phi$$-level sets in maps with the shadowing property. Zbl 1460.37018
Foryś-Krawiec, Magdalena; Kupka, Jiří; Oprocha, Piotr; Tian, Xueting
2021
Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Zbl 1458.35227
Fernandes, Juliana; Maia, Liliane
2021
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
2021
Jordan decomposition and the recurrent set of flows of automorphisms. Zbl 1471.37014
Ayala, Víctor; Da Silva, Adriano; Jouan, Philippe
2021
Dynamical Borel-Cantelli lemmas. Zbl 1472.37009
Xing, Viktoria
2021
Spatial dynamics and optimization method for a network propagation model in a shifting environment. Zbl 1459.35241
Zhu, Linhe; Liu, Wenshan
2021
Reversible perturbations of conservative Hénon-like maps. Zbl 07314934
Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim
2021
Diffeomorphisms with a generalized Lipschitz shadowing property. Zbl 1473.37027
Lee, Manseob; Oh, Jumi; Wen, Xiao
2021
Steady asymmetric vortex pairs for Euler equations. Zbl 1460.35286
Hassainia, Zineb; Hmidi, Taoufik
2021
Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Zbl 1460.35270
Fan, Lili; Ruan, Lizhi; Xiang, Wei
2021
Measures and stabilizers of group Cantor actions. Zbl 1470.37020
Gröger, Maik; Lukina, Olga
2021
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### Cited by 20,137 Authors

 127 Papageorgiou, Nikolaos S. 115 Llibre, Jaume 105 Li, Wan-Tong 98 Mu, Chunlai 93 Tang, Xianhua 78 Miranville, Alain M. 73 Valdinoci, Enrico 72 Winkler, Michael 69 Rădulescu, Vicenţiu D. 68 Wang, Bixiang 67 Wang, Mingxin 67 Yin, Zhaoyang 66 Caraballo Garrido, Tomás 65 Yang, Xiaofeng 64 Valls Anglés, Cláudia 60 Shen, Wenxian 60 Wei, Juncheng 57 Tachim Medjo, Theodore 57 Wu, Jiahong 56 Zhou, Shengfan 52 Ha, Seung-Yeal 50 Barreira, Luis Manuel 50 Vazquez, Juan Luis 49 Carrillo de la Plata, José Antonio 49 Coclite, Giuseppe Maria 49 de la Llave, Rafael 49 Kloeden, Peter Eris 48 Tan, Zhong 47 Chen, Sitong 47 Guo, Boling 47 Valero, José 46 Li, Yangrong 45 Grasselli, Maurizio 44 Lee, Manseob 44 Wang, Zhi Cheng 43 Feng, Zhaosheng 43 Liu, Meng 43 Yao, Zhengan 42 Colli, Pierluigi 42 Liu, Yue 42 Lou, Yuan 41 Gao, Hongjun 41 Li, Yeping 41 Zumbrun, Kevin R. 40 Yang, Zhijian 40 Zhang, Zujin 39 Ambrosio, Vincenzo 39 Temam, Roger Meyer 39 Yuan, Rong 39 Zelik, Sergey V. 39 Zhao, Caidi 38 Dipierro, Serena 38 Lasiecka, Irena 38 Shi, Junping 38 Titi, Edriss Saleh 37 O’Regan, Donal 37 Ruan, Shigui 37 Wang, Cheng 37 Xu, Junxiang 37 Yang, Minbo 36 Dragičević, Davor 36 Guo, Zhengguang 36 Oprocha, Piotr 36 Zhong, Chengkui 35 Du, Yihong 35 Gala, Sadek 35 Rocca, Elisabetta 35 Wang, Ke 35 Wu, Shiliang 34 Chu, Jifeng 34 Kukavica, Igor 34 Pata, Vittorino 34 Xiang, Zhaoyin 33 Peng, Rui 33 Tian, Lixin 33 Wu, Tsungfang 33 Zhang, Binlin 33 Zheng, Jiashan 33 Zheng, Pan 32 Jiang, Daqing 32 Liu, Chun 32 Liu, Qiao 32 Morales, Carlos Arnoldo 31 Gal, Ciprian Gheorghe Sorin 31 Varandas, Paulo 31 Zhao, Xiao-Qiang 30 Guo, Shangjiang 30 Nguyen Huy Tuan 30 Pelinovsky, Dmitry Efimovich 30 Punzo, Fabio 30 Torres, Delfim Fernando Marado 30 Trofimchuk, Sergei I. 30 Wang, Yejuan 30 Yang, Tong 29 Bressan, Alberto 29 Giga, Yoshikazu 29 Li, Congming 29 Lin, Zhigui 29 Lopes, Artur Oscar 29 Wu, Jianhua ...and 20,037 more Authors
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 1,918 Journal of Differential Equations 1,487 Journal of Mathematical Analysis and Applications 1,098 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,009 Discrete and Continuous Dynamical Systems 546 Nonlinear Analysis. Real World Applications 528 Discrete and Continuous Dynamical Systems. Series B 487 Communications on Pure and Applied Analysis 430 Calculus of Variations and Partial Differential Equations 388 Journal of Mathematical Physics 375 ZAMP. Zeitschrift für angewandte Mathematik und Physik 340 Archive for Rational Mechanics and Analysis 329 Ergodic Theory and Dynamical Systems 325 Applied Mathematics and Computation 320 Applied Mathematics Letters 318 Journal of Dynamics and Differential Equations 310 Journal of Functional Analysis 297 SIAM Journal on Mathematical Analysis 290 Nonlinearity 287 Applicable Analysis 285 Communications in Mathematical Physics 274 Proceedings of the American Mathematical Society 252 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 249 Transactions of the American Mathematical Society 248 Physica D 242 Computers & Mathematics with Applications 217 Discrete and Continuous Dynamical Systems. Series S 215 Boundary Value Problems 203 Advances in Mathematics 198 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 192 Advances in Difference Equations 187 Abstract and Applied Analysis 186 Mathematical Methods in the Applied Sciences 186 Journal de Mathématiques Pures et Appliquées. Neuvième Série 184 NoDEA. Nonlinear Differential Equations and Applications 179 Journal of Evolution Equations 178 Journal of Computational Physics 173 Journal of Mathematical Fluid Mechanics 172 Communications in Partial Differential Equations 167 Journal of Nonlinear Science 159 Journal of Computational and Applied Mathematics 151 Science China. Mathematics 149 Journal of Statistical Physics 147 Dynamical Systems 142 Chaos, Solitons and Fractals 141 Applied Mathematics and Optimization 141 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 139 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 138 Acta Applicandae Mathematicae 135 Journal of Difference Equations and Applications 132 Qualitative Theory of Dynamical Systems 128 Communications in Nonlinear Science and Numerical Simulation 124 Communications in Contemporary Mathematics 123 Annali di Matematica Pura ed Applicata. Serie Quarta 117 Acta Mathematica Sinica. English Series 116 Journal of Mathematical Biology 116 SIAM Journal on Applied Dynamical Systems 113 Advanced Nonlinear Studies 111 Monatshefte für Mathematik 105 Journal of Scientific Computing 104 Advances in Nonlinear Analysis 100 Stochastics and Dynamics 99 SIAM Journal on Control and Optimization 95 Mathematische Annalen 94 Journal of Optimization Theory and Applications 90 Acta Mathematica Scientia. Series B. (English Edition) 87 Chaos 87 Comptes Rendus. Mathématique. Académie des Sciences, Paris 86 Mediterranean Journal of Mathematics 85 Evolution Equations and Control Theory 83 Journal of Dynamical and Control Systems 82 Applied Numerical Mathematics 81 The Journal of Geometric Analysis 81 Topological Methods in Nonlinear Analysis 79 Topology and its Applications 77 Chinese Annals of Mathematics. Series B 77 AIMS Mathematics 76 Complex Variables and Elliptic Equations 73 Mathematische Zeitschrift 73 Electronic Journal of Differential Equations (EJDE) 71 Journal of Mathematical Sciences (New York) 71 Electronic Research Archive 70 Regular and Chaotic Dynamics 69 Israel Journal of Mathematics 69 SIAM Journal on Applied Mathematics 69 Discrete Dynamics in Nature and Society 69 Journal of Fixed Point Theory and Applications 68 Journal of Inequalities and Applications 68 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 67 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 67 Mathematical Biosciences and Engineering 66 Nonlinear Dynamics 65 Systems & Control Letters 65 Bulletin of the Brazilian Mathematical Society. New Series 63 SIAM Journal on Numerical Analysis 62 Quarterly of Applied Mathematics 61 Acta Mathematicae Applicatae Sinica. English Series 61 Asymptotic Analysis 58 SIAM Journal on Scientific Computing 57 Journal of Applied Analysis and Computation 56 Numerische Mathematik ...and 724 more Journals
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### Cited in 63 Fields

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