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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/journal/1078-0947
http://aimsciences.org/journals/home.jsp?journalID=1
http://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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Latest Issues

42, No. 11 (2022)
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...and 159 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 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)

Publications by Year

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
360
2010
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
Servadei, Raffaella; Valdinoci, Enrico
347
2013
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
261
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.
206
2008
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
204
2009
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
199
2005
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
183
2007
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
158
2005
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
149
2002
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
146
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.
135
2010
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
129
1998
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
124
2012
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
122
2010
Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
114
2007
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 06384058
Cao, Xinru
110
2015
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
106
2009
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
104
2010
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
104
2005
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
103
2013
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
102
2003
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
101
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.
98
2008
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
93
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
89
2009
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
84
2004
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
84
2012
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
83
2016
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
83
2014
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
81
2005
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
77
2007
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
77
1998
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
76
2017
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
75
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
75
2015
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
75
2005
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
75
1996
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
74
2006
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
74
2003
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
74
2011
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
74
2013
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
73
2004
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
71
2009
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
70
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
69
2016
Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
68
1995
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
68
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
67
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
66
2003
Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
64
2016
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
64
2013
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
63
2004
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
62
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
62
2004
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
61
2008
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
60
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.
60
2011
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
59
2009
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
58
2004
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
58
2009
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
57
2014
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
56
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.
56
2017
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
55
2008
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
54
2007
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
54
2006
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
54
2006
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
53
2015
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
53
2015
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
53
2008
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031
Mallet-Paret, John; Nussbaum, Roger D.
52
2002
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
52
2015
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
52
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
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
52
2012
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
51
2004
Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
51
2001
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
51
2006
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
51
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.
51
1997
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
50
2018
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
49
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
49
2009
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242
Cabré, Xavier; Cinti, Eleonora
49
2010
Stabilization for the 3D Navier-Stokes system by feedback boundary control. Zbl 1174.93675
Fursikov, A. V.
49
2004
Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111
Zhang, Jian; Zhang, Wen; Tang, Xianhua
49
2017
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
48
2010
Mean field equations of Liouville type with singular data: sharper estimates. Zbl 1211.35263
Chen, Chiun-Chuan; Lin, Chang-Shou
48
2010
An Evans function approach to spectral stability of small-amplitude shock profiles. Zbl 1058.35164
Plaza, Ramon; Zumbrun, Kevin
48
2004
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
47
2016
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
47
2003
A Harnack inequality for fractional Laplace equations with lower order terms. Zbl 1269.26005
Tan, Jinggang; Xiong, Jingang
47
2011
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
47
2008
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
47
2017
On well-posedness of the Degasperis-Procesi equation. Zbl 1237.35137
Himonas, A. Alexandrou; Holliman, Curtis
47
2011
Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers. Zbl 1211.93103
Raymond, Jean-Pierre; Thevenet, Laetitia
45
2010
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
45
2016
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
45
2009
An overview on linear and nonlinear Dirac equations. Zbl 1162.49307
Esteban, Maria J.; Séré, Eric
44
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
44
2005
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
6
2022
One component regularity criteria for the axially symmetric MHD-Boussinesq system. Zbl 1490.35337
Li, Zijin; Pan, Xinghong
3
2022
Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems. Zbl 1483.35094
Mukherjee, Tuhina; Pucci, Patrizia; Xiang, Mingqi
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
Fujita type results for quasilinear parabolic inequalities with nonlocal terms. Zbl 1484.35420
Filippucci, Roberta; Ghergu, Marius
2
2022
Polynomial ergodic averages for certain countable ring actions. Zbl 07535663
Best, Andrew; Moragues, Andreu Ferré
2
2022
Shadowing for families of endomorphisms of generalized group shifts. Zbl 07451267
Phung, Xuan Kien
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
The Brinkman-Fourier system with ideal gas equilibrium. Zbl 07451274
Liu, Chun; Sulzbach, Jan-Eric
1
2022
Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics. Zbl 07463727
Park, Hansol
1
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
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
Lower bounds for Orlicz eigenvalues. Zbl 1484.35226
Salort, Ariel
1
2022
Eternal solutions for a reaction-diffusion equation with weighted reaction. Zbl 1483.35065
Iagar, Razvan Gabriel; Sánchez, Ariel
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 07481830
Giga, Mi-Ho; Giga, Yoshikazu; Kuroda, Ryo; Ochiai, Yusuke
1
2022
Refinements of topological invariants of flows. Zbl 07513972
Yokoyama, Tomoo
1
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
1
2022
Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\). Zbl 07528598
Shen, Wenxian; Xue, Shuwen
1
2022
The mean-field limit of the Lieb-Liniger model. Zbl 1490.35445
Rosenzweig, Matthew
1
2022
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
15
2021
Mean equicontinuity, complexity and applications. Zbl 1460.37009
Li, Jie; Ye, Xiangdong; Yu, Tao
7
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
7
2021
Singular solutions of a Lane-Emden system. Zbl 1459.35141
Cowan, Craig; Razani, Abdolrahman
7
2021
A new approach to MGT-thermoviscoelasticity. Zbl 1479.35855
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon
7
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
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
6
2021
McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance. Zbl 1466.60119
Huang, Xing; Wang, Feng-Yu
6
2021
A posteriori error estimates for self-similar solutions to the Euler equations. Zbl 1460.35268
Bressan, Alberto; Shen, Wen
5
2021
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Zbl 1467.34043
Guan, Yi; Fečkan, Michal; Wang, Jinrong
5
2021
Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source. Zbl 1465.35277
Xu, Lu; Mu, Chunlai; Xin, Qiao
5
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
Asymptotic stability in a chemotaxis-competition system with indirect signal production. Zbl 1460.35360
Zheng, Pan
4
2021
Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents. Zbl 1473.35306
Yang, Minbo; Zhao, Fukun; Zhao, Shunneng
4
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
Mean-square random invariant manifolds for stochastic differential equations. Zbl 1467.37053
Wang, Bixiang
3
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
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
Multiple positive bound state solutions for a critical Choquard equation. Zbl 1468.81041
Alves, Claudianor O.; Figueiredo, Giovany M.; Molle, Riccardo
3
2021
Time-fractional equations with reaction terms: fundamental solutions and asymptotics. Zbl 1458.35448
Dipierro, Serena; Pellacci, Benedetta; Valdinoci, Enrico; Verzini, Gianmaria
2
2021
Inverse problems for nonlinear hyperbolic equations. Zbl 1458.35486
Uhlmann, Gunther; Zhai, Jian
2
2021
Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for \(\beta\)-transformation. Zbl 1460.37015
Xiao, Yuanfen
2
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
2
2021
Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay. Zbl 1477.34081
Cheng, Feifei; Li, Ji
2
2021
\(N\)-Laplacian problems with critical double exponential nonlinearities. Zbl 1459.35118
Deng, Shengbing; Hu, Tingxi; Tang, Chun-Lei
2
2021
Pomeau-Manneville maps are global-local mixing. Zbl 1464.37045
Bonanno, Claudio; Lenci, Marco
2
2021
Global large solutions and optimal time-decay estimates to the Korteweg system. Zbl 1460.35300
Zhai, Xiaoping; Li, Yongsheng
2
2021
Existence of nodal solutions for the sublinear Moore-Nehari differential equation. Zbl 1464.34039
Kajikiya, Ryuji
2
2021
Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order. Zbl 1459.35380
Le, Phuong
2
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
2
2021
Strichartz estimates and local regularity for the elastic wave equation with singular potentials. Zbl 1458.35081
Kim, Seongyeon; Kwon, Yehyun; Seo, Ihyeok
2
2021
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries. Zbl 1473.37077
Fan, Zhiping; Zhang, Duanzhi
2
2021
On the vanishing discount problem from the negative direction. Zbl 1470.35136
Davini, Andrea; Wang, Lin
2
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.
2
2021
Random substitution tilings and deviation phenomena. Zbl 1466.52023
Schmieding, Scott; Treviño, Rodrigo
2
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
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
Second order estimates for complex Hessian equations on Hermitian manifolds. Zbl 1466.35108
Dong, Weisong; Li, Chang
2
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.
2
2021
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth. Zbl 1467.35361
Lederman, Claudia; Wolanski, Noemi
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
Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity. Zbl 1483.35123
Berti, Diego; Corli, Andrea; Malaguti, Luisa
2
2021
Minimal collision arcs asymptotic to central configurations. Zbl 1478.70007
Barutello, Vivina; Canneori, Gian Marco; Terracini, Susanna
1
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
1
2021
Function approximation via the subsampled Poincaré inequality. Zbl 1458.35008
Chen, Yifan; Hou, Thomas Y.
1
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
1
2021
A brief and personal history of stochastic partial differential equations. Zbl 1460.60070
Zambotti, Lorenzo
1
2021
Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains. Zbl 1458.35457
Ma, Lingwei; Zhang, Zhenqiu
1
2021
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity. Zbl 1458.35067
Mei, Xinyu; Xiong, Yangmin; Sun, Chunyou
1
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
1
2021
Large time behavior of exchange-driven growth. Zbl 1462.34035
Esentürk, Emre; Velazquez, Juan
1
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
1
2021
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation. Zbl 1459.35157
Guo, Helin; Zhou, Huan-Song
1
2021
Multiple ergodic averages for tempered functions. Zbl 1466.37004
Koutsogiannis, Andreas
1
2021
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321
Comech, Andrew; Cuccagna, Scipio
1
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
1
2021
Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Zbl 1458.35227
Fernandes, Juliana; Maia, Liliane
1
2021
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
1
2021
Jordan decomposition and the recurrent set of flows of automorphisms. Zbl 1471.37014
Ayala, Víctor; Da Silva, Adriano; Jouan, Philippe
1
2021
Dynamical Borel-Cantelli lemmas. Zbl 1472.37009
Xing, Viktoria
1
2021
Spatial dynamics and optimization method for a network propagation model in a shifting environment. Zbl 1459.35241
Zhu, Linhe; Liu, Wenshan
1
2021
Reversible perturbations of conservative Hénon-like maps. Zbl 07314934
Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim
1
2021
Diffeomorphisms with a generalized Lipschitz shadowing property. Zbl 1473.37027
Lee, Manseob; Oh, Jumi; Wen, Xiao
1
2021
Steady asymmetric vortex pairs for Euler equations. Zbl 1460.35286
Hassainia, Zineb; Hmidi, Taoufik
1
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
1
2021
Measures and stabilizers of group Cantor actions. Zbl 1470.37020
Gröger, Maik; Lukina, Olga
1
2021
...and 1375 more Documents
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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
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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
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128 Communications in Nonlinear Science and Numerical Simulation
124 Communications in Contemporary Mathematics
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90 Acta Mathematica Scientia. Series B. (English Edition)
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79 Topology and its Applications
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71 Electronic Research Archive
70 Regular and Chaotic Dynamics
69 Israel Journal of Mathematics
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68 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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66 Nonlinear Dynamics
65 Systems & Control Letters
65 Bulletin of the Brazilian Mathematical Society. New Series
63 SIAM Journal on Numerical Analysis
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