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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/DCDS
https://www.aimsciences.org/proc
Comments: Indexed cover-to-cover; The electronic version has the addition: Series A.
Documents Indexed: 5,613 Publications (since 1995)
References Indexed: 2,384 Publications with 65,792 References.
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Latest Issues

42, No. 12 (2022)
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...and 160 more Volumes
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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 Díaz Díaz, Jesús 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 Kunisch, Karl
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 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 Tang, Xianhua
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 Zelik, Sergey V.
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
...and 6,631 more Authors
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Fields

2,936 Partial differential equations (35-XX)
1,993 Dynamical systems and ergodic theory (37-XX)
918 Ordinary differential equations (34-XX)
611 Fluid mechanics (76-XX)
422 Biology and other natural sciences (92-XX)
345 Calculus of variations and optimal control; optimization (49-XX)
339 Operator theory (47-XX)
293 Numerical analysis (65-XX)
251 Probability theory and stochastic processes (60-XX)
219 Mechanics of particles and systems (70-XX)
199 Global analysis, analysis on manifolds (58-XX)
197 Differential geometry (53-XX)
194 Systems theory; control (93-XX)
177 Mechanics of deformable solids (74-XX)
151 Measure and integration (28-XX)
142 Statistical mechanics, structure of matter (82-XX)
130 Integral equations (45-XX)
96 Difference and functional equations (39-XX)
91 General topology (54-XX)
82 Classical thermodynamics, heat transfer (80-XX)
77 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)
33 Combinatorics (05-XX)
32 Convex and discrete geometry (52-XX)
31 Potential theory (31-XX)
30 Several complex variables and analytic spaces (32-XX)
29 Group theory and generalizations (20-XX)
29 Computer science (68-XX)
24 Approximations and expansions (41-XX)
20 Information and communication theory, circuits (94-XX)
19 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)
13 Special functions (33-XX)
13 Algebraic topology (55-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 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)

Publications by Year

Citations contained in zbMATH Open

4,482 Publications have been cited 40,113 times in 29,036 Documents Cited by Year
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
388
2010
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
Servadei, Raffaella; Valdinoci, Enrico
365
2013
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
274
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.
227
2008
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
213
2009
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
210
2005
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
184
2007
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
164
2005
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
154
2014
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
151
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.
137
2010
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
131
2010
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
131
1998
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
130
2012
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 06384058
Cao, Xinru
116
2015
Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
116
2007
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
110
2012
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
109
2013
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
109
2003
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
109
2005
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
108
2009
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
106
2010
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.
102
2008
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
98
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
93
2009
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
90
2014
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
87
2016
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
86
2004
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
86
2005
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
85
2012
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
85
2017
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
82
1996
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
82
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
82
2015
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
81
2013
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
78
2005
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
78
2007
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
77
1998
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
77
2011
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
77
2003
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
75
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
75
2016
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
74
2004
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
73
2014
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
72
2009
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
71
2003
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
70
2014
Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
70
1995
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
68
2003
Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
67
2016
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
66
2013
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
66
2014
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
66
2004
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
66
2008
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
63
2005
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
63
2009
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
63
2004
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.
61
2011
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
61
2009
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
61
2003
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
59
2004
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
58
2007
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
57
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.
57
2017
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
56
2006
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
56
2008
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
56
2018
Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111
Zhang, Jian; Zhang, Wen; Tang, Xianhua
56
2017
Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
55
2001
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
55
2006
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
55
2004
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
55
2008
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
54
2006
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
54
2015
A Harnack inequality for fractional Laplace equations with lower order terms. Zbl 1269.26005
Tan, Jinggang; Xiong, Jingang
54
2011
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
54
2008
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031
Mallet-Paret, John; Nussbaum, Roger D.
54
2002
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
54
2015
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
54
2015
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
53
2012
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
53
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
52
2009
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
52
2000
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
52
2017
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242
Cabré, Xavier; Cinti, Eleonora
51
2010
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.
51
1997
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
51
2016
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
51
2008
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
50
2009
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
50
2003
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
49
2010
Mean field equations of Liouville type with singular data: sharper estimates. Zbl 1211.35263
Chen, Chiun-Chuan; Lin, Chang-Shou
49
2010
Stabilization for the 3D Navier-Stokes system by feedback boundary control. Zbl 1174.93675
Fursikov, A. V.
49
2004
On well-posedness of the Degasperis-Procesi equation. Zbl 1237.35137
Himonas, A. Alexandrou; Holliman, Curtis
49
2011
An Evans function approach to spectral stability of small-amplitude shock profiles. Zbl 1058.35164
Plaza, Ramon; Zumbrun, Kevin
48
2004
Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian. Zbl 1333.31013
Abatangelo, Nicola
48
2015
Unique continuation properties for relativistic Schrödinger operators with a singular potential. Zbl 1336.35356
Fall, Mouhamed Moustapha; Felli, Veronica
48
2015
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
48
2016
Longtime behavior for a model of homogeneous incompressible two-phase flows. Zbl 1194.35056
Gal, Ciprian G.; Grasselli, Maurizio
47
2010
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
46
2005
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
8
2022
One component regularity criteria for the axially symmetric MHD-Boussinesq system. Zbl 1490.35337
Li, Zijin; Pan, Xinghong
4
2022
Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems. Zbl 1483.35094
Mukherjee, Tuhina; Pucci, Patrizia; Xiang, Mingqi
4
2022
Ground states for a system of nonlinear Schrödinger equations with singular potentials. Zbl 07583885
Chen, Peng; Tang, Xianhua
3
2022
Polynomial ergodic averages for certain countable ring actions. Zbl 1503.37013
Best, Andrew; Moragues, Andreu Ferré
3
2022
Bogdanov-Takens bifurcation with \(Z_2\) symmetry and spatiotemporal dynamics in diffusive Rosenzweig-MacArthur model involving nonlocal prey competition. Zbl 1494.35023
Cao, Xun; Chen, Xianyong; Jiang, Weihua
2
2022
Dynamically learning the parameters of a chaotic system using partial observations. Zbl 1502.37092
Carlson, Elizabeth; Hudson, Joshua; Larios, Adam; Martinez, Vincent R.; Ng, Eunice; Whitehead, Jared P.
2
2022
Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations. Zbl 1502.35155
Li, Chunhua; Nishii, Yoshinori; Sagawa, Yuji; Sunagawa, Hideaki
2
2022
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction. Zbl 07463728
Colombo, Giovanni; Gidoni, Paolo; Vilches, Emilio
2
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
2
2022
Lower bounds for Orlicz eigenvalues. Zbl 1484.35226
Salort, Ariel
2
2022
Fujita type results for quasilinear parabolic inequalities with nonlocal terms. Zbl 1484.35420
Filippucci, Roberta; Ghergu, Marius
2
2022
Global well-posedness for fractional Sobolev-Galpern type equations. Zbl 1489.35303
Nguyen, Huy Tuan; Tuan, Nguyen Anh; Yang, Chao
2
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
2
2022
A KAM theorem for quasi-periodic non-twist mappings and its application. Zbl 1498.37099
Ma, Zhichao; Xu, Junxiang
2
2022
The Brinkman-Fourier system with ideal gas equilibrium. Zbl 1502.35120
Liu, Chun; Sulzbach, Jan-Eric
2
2022
On a nonhomogeneous Kirchhoff type elliptic system with the singular Trudinger-Moser growth. Zbl 1498.35248
Deng, Shengbing; Tian, Xingliang
1
2022
Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \). Zbl 1498.92032
Kang, Kyungkeun; Lee, Jihoon; Winkler, Michael
1
2022
Energy conservation and regularity for the 3D magneto-hydrodynamics equations. Zbl 07593594
Tan, Wenke; Wu, Fan
1
2022
Enhanced existence time of solutions to evolution equations of Whitham type. Zbl 1492.76020
Ehrnström, Mats; Wang, Yuexun
1
2022
A fixed point theorem for twist maps. Zbl 1502.37053
Xia, Zhihong; Yu, Peizheng
1
2022
On the standing waves for the X-ray free electron laser Schrödinger equation. Zbl 07621932
Cao, Daomin; Feng, Binhua; Luo, Tingjian
1
2022
Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics. Zbl 07463727
Park, Hansol
1
2022
The nonlocal-interaction equation near attracting manifolds. Zbl 1482.35007
Patacchini, Francesco S.; Slepčev, Dejan
1
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
1
2022
Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Zbl 1491.37025
Frettlöh, Dirk; Garber, Alexey; Sadun, Lorenzo
1
2022
Eternal solutions for a reaction-diffusion equation with weighted reaction. Zbl 1483.35065
Iagar, Razvan Gabriel; Sánchez, Ariel
1
2022
A symmetric property in the enhanced common index jump theorem with applications to the closed geodesic problem. Zbl 1490.53058
Hamid, Muhammad; Wang, Wei
1
2022
High and low perturbations of Choquard equations with critical reaction and variable growth. Zbl 07481828
Zhang, Youpei; Tang, Xianhua; Rădulescu, Vicenţiu D.
1
2022
Crystalline flow starting from a general polygon. Zbl 1494.53108
Giga, Mi-Ho; Giga, Yoshikazu; Kuroda, Ryo; Ochiai, Yusuke
1
2022
Refinements of topological invariants of flows. Zbl 1504.37019
Yokoyama, Tomoo
1
2022
”Large” strange attractors in the unfolding of a heteroclinic attractor. Zbl 1497.34065
Rodrigues, Alexandre
1
2022
Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system. Zbl 1489.35159
Bondesan, Andrea; Briant, Marc
1
2022
Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\). Zbl 1495.35040
Shen, Wenxian; Xue, Shuwen
1
2022
The mean-field limit of the Lieb-Liniger model. Zbl 1490.35445
Rosenzweig, Matthew
1
2022
Vortex collapses for the Euler and quasi-geostrophic models. Zbl 1491.76018
Godard-Cadillac, Ludovic
1
2022
On information gain, Kullback-Leibler divergence, entropy production and the involution kernel. Zbl 07535670
Lopes, Artur O.; Mengue, Jairo K.
1
2022
Shadowing for families of endomorphisms of generalized group shifts. Zbl 1492.37023
Phung, Xuan Kien
1
2022
Inducing schemes for multi-dimensional piecewise expanding maps. Zbl 1486.37021
Eslami, Peyman
1
2022
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II. Zbl 1480.35039
Ishige, Kazuhiro; Tateishi, Yujiro
1
2022
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
18
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
11
2021
A new approach to MGT-thermoviscoelasticity. Zbl 1479.35855
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon
9
2021
Singular solutions of a Lane-Emden system. Zbl 1459.35141
Cowan, Craig; Razani, Abdolrahman
9
2021
McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance. Zbl 1466.60119
Huang, Xing; Wang, Feng-Yu
8
2021
Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source. Zbl 1465.35277
Xu, Lu; Mu, Chunlai; Xin, Qiao
7
2021
Mean equicontinuity, complexity and applications. Zbl 1460.37009
Li, Jie; Ye, Xiangdong; Yu, Tao
7
2021
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
7
2021
Asymptotic stability in a chemotaxis-competition system with indirect signal production. Zbl 1460.35360
Zheng, Pan
7
2021
Multiple positive bound state solutions for a critical Choquard equation. Zbl 1468.81041
Alves, Claudianor O.; Figueiredo, Giovany M.; Molle, Riccardo
6
2021
Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H.
6
2021
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Zbl 1467.34043
Guan, Yi; Fečkan, Michal; Wang, Jinrong
6
2021
Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents. Zbl 1473.35306
Yang, Minbo; Zhao, Fukun; Zhao, Shunneng
5
2021
A posteriori error estimates for self-similar solutions to the Euler equations. Zbl 1460.35268
Bressan, Alberto; Shen, Wen
5
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
4
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
4
2021
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth. Zbl 1467.35361
Lederman, Claudia; Wolanski, Noemi
4
2021
Study of fractional Poincaré inequalities on unbounded domains. Zbl 1467.35013
Chowdhury, Indranil; Csató, Gyula; Roy, Prosenjit; Sk, Firoj
4
2021
Entire and ancient solutions of a supercritical semilinear heat equation. Zbl 1458.35228
Poláčik, Peter; Quittner, Pavol
4
2021
The unique measure of maximal entropy for a compact rank one locally CAT(0) space. Zbl 1460.37034
Ricks, Russell
4
2021
Existence of nodal solutions for the sublinear Moore-Nehari differential equation. Zbl 1464.34039
Kajikiya, Ryuji
4
2021
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries. Zbl 1473.37077
Fan, Zhiping; Zhang, Duanzhi
3
2021
Random substitution tilings and deviation phenomena. Zbl 1466.52023
Schmieding, Scott; Treviño, Rodrigo
3
2021
A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces. Zbl 1468.35165
Chapouto, Andreia
3
2021
Long time dynamics of solutions to \(p\)-Laplacian diffusion problems with bistable reaction terms. Zbl 1465.35030
Folino, Raffaele; Plaza, Ramón G.; Strani, Marta
3
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.
3
2021
Approximation properties of Lüroth expansions. Zbl 1469.11255
Tan, Bo; Zhou, Qinglong
3
2021
Existence of solution for a class of heat equation in whole \(\mathbb{R}^N\). Zbl 1465.35283
Alves, Claudianor O.; Boudjeriou, Tahir
3
2021
Centralizers of partially hyperbolic diffeomorphisms in dimension 3. Zbl 1489.37035
Barthelmé, Thomas; Gogolev, Andrey
3
2021
Asymptotic speed of spread for a nonlocal evolutionary-epidemic system. Zbl 1473.35585
Abi Rizk, Lara; Burie, Jean-Baptiste; Ducrot, Arnaud
3
2021
Time-fractional equations with reaction terms: fundamental solutions and asymptotics. Zbl 1458.35448
Dipierro, Serena; Pellacci, Benedetta; Valdinoci, Enrico; Verzini, Gianmaria
3
2021
Inverse problems for nonlinear hyperbolic equations. Zbl 1458.35486
Uhlmann, Gunther; Zhai, Jian
3
2021
\(N\)-Laplacian problems with critical double exponential nonlinearities. Zbl 1459.35118
Deng, Shengbing; Hu, Tingxi; Tang, Chun-Lei
3
2021
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere. Zbl 1461.37044
Nozdrinova, Elena; Pochinka, Olga
3
2021
Global large solutions and optimal time-decay estimates to the Korteweg system. Zbl 1460.35300
Zhai, Xiaoping; Li, Yongsheng
3
2021
Mean-square random invariant manifolds for stochastic differential equations. Zbl 1467.37053
Wang, Bixiang
3
2021
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
3
2021
Strichartz estimates and local regularity for the elastic wave equation with singular potentials. Zbl 1458.35081
Kim, Seongyeon; Kwon, Yehyun; Seo, Ihyeok
3
2021
The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results. Zbl 1483.35314
Ambrosio, Vincenzo
3
2021
Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations. Zbl 1493.37073
Sultanov, Oskar A.
3
2021
Measures and stabilizers of group Cantor actions. Zbl 1470.37020
Gröger, Maik; Lukina, Olga
2
2021
Integral equations on compact CR manifolds. Zbl 1465.45004
Han, Yazhou
2
2021
Liouville type theorems for fractional and higher-order fractional systems. Zbl 1466.35118
Cao, Daomin; Qin, Guolin
2
2021
On the vanishing discount problem from the negative direction. Zbl 1470.35136
Davini, Andrea; Wang, Lin
2
2021
A dynamical approach to lower and upper solutions for planar systems. “To the memory of Massimo Tarallo”. Zbl 1478.34043
Fonda, Alessandro; Toader, Rodica
2
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
2
2021
\(BV\) solution for a non-linear Hamilton-Jacobi system. Zbl 1465.35112
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2
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
2
2021
A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation. Zbl 1465.35273
López, José Luis
2
2021
Second order estimates for complex Hessian equations on Hermitian manifolds. Zbl 1466.35108
Dong, Weisong; Li, Chang
2
2021
Schrödinger equations with vanishing potentials involving Brezis-kamin type problems. Zbl 1466.35098
Cardoso, Jose Anderson; Cerda, Patricio; Pereira, Denilson; Ubilla, Pedro
2
2021
On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188
Oh, Tadahiro; Wang, Yuzhao
2
2021
On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension \(n\). Zbl 1482.35184
Ding, Yanheng; Dong, Xiaojing; Guo, Qi
2
2021
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations. Zbl 1466.35188
Fazly, Mostafa; Li, Yuan
2
2021
Singular double-phase systems with variable growth for the Baouendi-Grushin operator. Zbl 1467.35163
Bahrouni, Anouar; Rădulescu, Vicenţiu D.
2
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.
2
2021
Pointwise gradient bounds for a class of very singular quasilinear elliptic equations. Zbl 1466.35231
Tran, Minh-Phuong; Nguyen, Thanh-Nhan
2
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
2
2021
Convergence of nonlocal geometric flows to anisotropic mean curvature motion. Zbl 1471.53072
Cesaroni, Annalisa; Pagliari, Valerio
2
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
2
2021
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Cited by 21,013 Authors

128 Papageorgiou, Nikolaos S.
119 Llibre, Jaume
108 Li, Wan-Tong
100 Mu, Chunlai
97 Tang, Xianhua
78 Miranville, Alain M.
77 Winkler, Michael
75 Wang, Mingxin
74 Rădulescu, Vicenţiu D.
74 Valdinoci, Enrico
71 Caraballo Garrido, Tomás
70 Wang, Bixiang
70 Yang, Xiaofeng
68 Yin, Zhaoyang
67 Valls Anglés, Cláudia
62 Shen, Wenxian
62 Wei, Juncheng
58 Tachim Medjo, Theodore
57 Wu, Jiahong
56 Zhou, Shengfan
54 Ha, Seung-Yeal
53 Wang, Zhi Cheng
52 Coclite, Giuseppe Maria
52 Vazquez, Juan Luis
51 Barreira, Luis Manuel
51 Carrillo de la Plata, José Antonio
51 Guo, Boling
49 de la Llave, Rafael
49 Kloeden, Peter Eris
49 Li, Yangrong
48 Chen, Sitong
48 Tan, Zhong
47 Valero, José
46 Lee, Manseob
45 Grasselli, Maurizio
44 Colli, Pierluigi
44 Yao, Zhengan
43 Feng, Zhaosheng
43 Liu, Meng
43 Lou, Yuan
43 Zhang, Jian
42 Gao, Hongjun
42 Li, Yeping
42 Liu, Yue
42 Tang, Chun-Lei
41 Yang, Zhijian
41 Zhong, Chengkui
41 Zumbrun, Kevin R.
40 Wang, Cheng
40 Yang, Minbo
40 Zelik, Sergey V.
40 Zhang, Zujin
40 Zhao, Caidi
39 Ambrosio, Vincenzo
39 Lasiecka, Irena
39 Shi, Junping
39 Temam, Roger Meyer
39 Titi, Edriss Saleh
38 Dipierro, Serena
38 O’Regan, Donal
38 Ruan, Shigui
38 Xu, Junxiang
38 Yuan, Rong
37 Rocca, Elisabetta
37 Wu, Shiliang
36 Chu, Jifeng
36 Dragičević, Davor
36 Gala, Sadek
36 Guo, Zhengguang
36 Oprocha, Piotr
35 Du, Yihong
35 Liu, Bin
35 Wang, Ke
35 Zhang, Binlin
35 Zheng, Jiashan
35 Zheng, Pan
34 Kukavica, Igor
34 Pata, Vittorino
34 Peng, Rui
34 Tian, Lixin
34 Wu, Hao
34 Xiang, Zhaoyin
34 Zhao, Xiao-Qiang
33 Jiang, Daqing
33 Liu, Chun
33 Wu, Tsungfang
32 Gal, Ciprian Gheorghe Sorin
32 Guo, Shangjiang
32 Liu, Qiao
32 Morales, Carlos Arnoldo
32 Nguyen Huy Tuan
32 Pelinovsky, Dmitry Efimovich
31 Lin, Zhigui
31 Lopes, Artur Oscar
31 Varandas, Paulo
31 Wang, Yejuan
31 Wu, Jianhua
31 Yang, Tong
31 Zhang, Wen
30 Giga, Yoshikazu
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1,989 Journal of Differential Equations
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441 Journal of Mathematical Physics
391 ZAMP. Zeitschrift für angewandte Mathematik und Physik
348 Archive for Rational Mechanics and Analysis
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