## Dynamics of Partial Differential Equations

 Short Title: Dyn. Partial Differ. Equ. Publisher: International Press of Boston, Somerville, MA ISSN: 1548-159X; 2163-7873/e Online: http://intlpress.com/site/pub/pages/journals/items/dpde/_home/_main/ Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 298 Publications (since 2004)
all top 5

### Latest Issues

 19, No. 3 (2022) 19, No. 2 (2022) 19, No. 1 (2021) 18, No. 4 (2021) 18, No. 3 (2021) 18, No. 2 (2021) 18, No. 1 (2021) 17, No. 4 (2020) 17, No. 3 (2020) 17, No. 2 (2020) 17, No. 1 (2020) 16, No. 4 (2019) 16, No. 3 (2019) 16, No. 2 (2019) 16, No. 1 (2019) 15, No. 4 (2018) 15, No. 3 (2018) 15, No. 2 (2018) 15, No. 1 (2018) 14, No. 4 (2017) 14, No. 3 (2017) 14, No. 2 (2017) 14, No. 1 (2017) 13, No. 4 (2016) 13, No. 3 (2016) 13, No. 2 (2016) 13, No. 1 (2016) 12, No. 4 (2015) 12, No. 3 (2015) 12, No. 2 (2015) 12, No. 1 (2015) 11, No. 4 (2014) 11, No. 3 (2014) 11, No. 2 (2014) 11, No. 1 (2014) 10, No. 4 (2013) 10, No. 3 (2013) 10, No. 2 (2013) 10, No. 1 (2013) 9, No. 4 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 4 (2011) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 4 (2010) 7, No. 3 (2010) 7, No. 2 (2010) 7, No. 1 (2010) 6, No. 4 (2009) 6, No. 3 (2009) 6, No. 2 (2009) 6, No. 1 (2009) 5, No. 4 (2008) 5, No. 3 (2008) 5, No. 2 (2008) 5, No. 1 (2008) 4, No. 4 (2007) 4, No. 3 (2007) 4, No. 2 (2007) 4, No. 1 (2007) 3, No. 4 (2006) 3, No. 3 (2006) 3, No. 2 (2006) 3, No. 1 (2006) 2, No. 4 (2005) 2, No. 3 (2005) 2, No. 2 (2005) 2, No. 1 (2005) 1, No. 4 (2004) 1, No. 3 (2004) 1, No. 2 (2004) 1, No. 1 (2004)
all top 5

### Authors

 13 Feng, Zhaosheng 10 Li, Y. Charles 7 Fečkan, Michal 6 Tao, Terence 5 You, Yuncheng 4 Li, Dong 4 Li, Yangrong 4 Pelinovsky, Dmitry Efimovich 4 Xiao, Jie 3 Bonanno, Claudio 3 Caraballo Garrido, Tomás 3 Carles, Rémi 3 Chan, Chi Hin 3 Georgiev, Svetlin Georgiev 3 Hmidi, Taoufik 3 Korotyaev, Evgeny L. 3 Krieger, Joachim 3 Quintero, José Raúl 3 Su, Youhui 3 Vougalter, Vitali 3 Wang, Jinrong 2 Ammari, Kais 2 Badanin, Andrey 2 Bambusi, Dario 2 Banica, Valeria 2 Bellazzini, Jacopo 2 Benci, Vieri 2 Beyn, Wolf-Jürgen 2 Cacciafesta, Federico 2 Czubak, Magdalena 2 Dinh, Van Duong 2 Dong, Hongjie 2 Duyckaerts, Thomas 2 Franca, Matteo 2 Gal, Ciprian Gheorghe Sorin 2 Gao, Hongjun 2 Gay-Balmaz, François 2 Ham, YoonMee 2 Inci, Hasan 2 Jiu, Quansen 2 Kang, Joonhyuk 2 Komech, Alexander Ilich 2 Kopylova, Elena A. 2 Lê Văn Út 2 Lin, Xiaobiao 2 Lu, Qishao 2 Lu, Shujuan 2 Majdoub, Mohamed 2 Marsden, Jerrold Eldon 2 Mityagin, Boris Samuilovich 2 Montes, Alex M. 2 Okamoto, Mamoru 2 Parshad, Rana D. 2 Pata, Vittorino 2 Pierce, Virgil U. 2 Pocovnicu, Oana 2 Ratiu, Tudor Stefan 2 Rodríguez-Bernal, Aníbal 2 Romito, Marco 2 Shao, Shuanglin 2 Sinibaldi, Edoardo 2 Sire, Yannick 2 Squassina, Marco 2 Thomann, Laurent 2 Tian, Fei-Ran 2 Volpert, Vitaly A. 2 Zhan, Huashui 2 Zhang, Jian 2 Zhao, Caidi 2 Zhao, Lifeng 2 Zhou, Yong 2 Zhu, Shihui 1 Ablowitz, Mark Jay 1 Agusto, Folashade B. 1 Aizicovici, Sergiu 1 Alfaro, Matthieu 1 Ali, Hani 1 Alouini, Brahim 1 Ambrosio, Vincenzo 1 Amler, T. G. 1 Ammari, Zied 1 Angiuli, Luciana 1 Antonopoulou, Dimitra C. 1 Arat, Zehra 1 Barbato, David 1 Battelli, Flaviano 1 Benalili, Mohammed 1 Bensouilah, Abdelwahab 1 Bernicot, Frédéric 1 Berselli, Luigi Carlo 1 Bethuel, Fabrice 1 Bisconti, Luca 1 Blömker, Dirk 1 Bona, Jerry Lloyd 1 Bosia, Stefano 1 Botkin, Nikolai D. 1 Boukarou, Aissa 1 Bronski, Jared C. 1 Brzezniak, Maciej 1 Cai, Kaihua ...and 328 more Authors
all top 5

### Fields

 275 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 62 Dynamical systems and ergodic theory (37-XX) 37 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 13 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of deformable solids (74-XX) 10 Quantum theory (81-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 4 Differential geometry (53-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

228 Publications have been cited 1,927 times in 1,773 Documents Cited by Year
On the new concept of solutions and existence results for impulsive fractional evolution equations. Zbl 1264.34014
Wang, JinRong; Fečkan, Michal; Zhou, Yong
2011
Explicit multipeakon solutions of Novikov’s cubically nonlinear integrable Camassa-Holm type equation. Zbl 1179.37092
Hone, Andrew N. W.; Lundmark, Hans; Szmigielski, Jacek
2009
Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case. Zbl 1155.35096
2007
Blow up and regularity for fractal Burgers equation. Zbl 1186.35020
Kiselev, Alexander; Nazarov, Fedor; Shterenberg, Roman
2008
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166
Nolen, James; Rudd, Matthew; Xin, Jack
2005
The generalized incompressible Navier-Stokes equations in Besov spaces. Zbl 1075.35043
Wu, Jiahong
2004
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008
Xiao, Jie
2007
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2009
Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials. Zbl 1280.35089
Frigeri, Sergio; Grasselli, Maurizio
2012
On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144
Tao, Terence
2004
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
2012
Integrable nonlinear Schrödinger systems and their soliton dynamics. Zbl 1153.35389
Ablowitz, M. J.; Prinari, B.; Trubatch, A. D.
2004
Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090
Tzvetkov, Nikolay
2006
Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117
Wang, Jinrong; Fĕckan, Michal; Zhou, Yong
2014
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102
Erdoğan, M. Burak; Schlag, Wilhelm
2004
Global dynamics of the Brusselator equations. Zbl 1158.37028
You, Yuncheng
2007
Global wellposedness of an inviscid $$2D$$ Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319
Li, Dong; Xu, Xiaojing
2013
Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099
Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu
2006
Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions. Zbl 1145.35089
Tao, Terence
2006
A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations. Zbl 1142.35088
Tao, Terence
2007
Spectral expansions of one-dimensional periodic Dirac operators. Zbl 1092.34048
Mityagin, Boris
2004
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136
Caraballo, T.; Márquez-Durán, A. M.
2013
Regularity and blow up in a surface growth model. Zbl 1179.35083
Blömker, Dirk; Romito, Marco
2009
A symplectic non-squeezing theorem for BBM equation. Zbl 1216.35124
Roumégoux, David
2010
Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1194.35436
Zhu, Shihui; Zhang, Jian; Yang, Han
2010
Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096
Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E.
2009
On some degenerate non-local parabolic equation associated with the fractional $$p$$-Laplacian. Zbl 06695569
2017
Invariant measure for the cubic wave equation on the unit ball of $$\mathbb{R}^3$$. Zbl 1237.35118
de Suzzoni, Anne-Sophie
2011
Velocity averaging – a general framework. Zbl 1267.35111
Lazar, Martin; Mitrović, Darko
2012
Exact solutions of diffusion-convection equations. Zbl 1151.35005
Ivanova, Nataliya M.
2008
Stability of $$N$$ solitary waves for the generalized BBM equations. Zbl 1080.35116
El Dika, Khaled; Martel, Yvan
2004
Spectral gaps of Schrödinger operators with periodic singular potentials. Zbl 1238.34151
Djakov, Plamen; Mityagin, Boris
2009
Stochastic $$\Sigma$$-convergence and applications. Zbl 1254.35019
2011
Multiple bifurcations and spatiotemporal patterns for a coupled two-cell Brusselator model. Zbl 1254.35115
Zuo, Wenjie; Wei, Junjie
2011
Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064
Yin, Jinyan; Gu, Anhui; Li, Yangrong
2017
Fractional abstract Cauchy problem with order $$\alpha \in (1,2)$$. Zbl 1355.35193
Li, Ya-Ning; Sun, Hong-Rui; Feng, Zhaosheng
2016
Denoising deterministic time series. Zbl 1137.37334
Lalley, Steven P.; Nobel, A. B.
2006
The derivative NLS equation: global existence with solitons. Zbl 1386.35311
Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke
2017
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303
Xiao, Jie
2014
Sharp blow-up criteria for the Davey-Stewartson system in $$\mathbb R^3$$. Zbl 1256.35144
Zhang, Jian; Zhu, Shihui
2011
On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2008
Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Zbl 1307.35189
Chan, Chi Hin; Czubak, Magdalena
2013
Well-posedness and long time behavior of the non-isothermal viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1162.35043
Gal, Ciprian
2008
Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060
Dong, Hongjie; Gu, Xumin
2014
Stability and uniqueness of traveling waves of a non-local dispersal SIR epidemic model. Zbl 1380.37147
Li, Yan; Li, Wan-Tong; Zhang, Guo-Bao
2017
Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds. Zbl 1137.35010
Banica, Valeria; Duyckaerts, Thomas
2007
Regularity for quasi-linear elliptic systems with discontinuous coefficients. Zbl 1167.35536
Zheng, S.; Feng, Z.
2008
Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Zbl 1158.35322
Caliari, Marco; Squassina, Marco
2008
Timoshenko systems with fading memory. Zbl 1294.47098
Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino
2013
Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1304.35112
Bosia, Stefano; Gatti, Stefania
2014
Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251
Henry, D.; Martin, C. I.
2018
A topological approach to the existence and multiplicity of positive solutions of $$(p, q)$$-Laplacian systems. Zbl 1328.35043
Infante, Gennaro; Maciejewski, Mateusz; Precup, Radu
2015
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
2015
Nonlinear stability of rotating patterns. Zbl 1173.35018
Beyn, Wolf-Jürgen; Lorenz, Jens
2008
Existence of stationary solutions for some nonlocal reaction-diffusion equations. Zbl 1325.35250
Vougalter, Vitali; Volpert, Vitaly
2015
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity. Zbl 1365.35082
Corli, Andrea; Malaguti, Luisa
2016
Investigation of the long time dynamics of a diffusive three species aquatic model. Zbl 1227.35082
2010
Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096
Feola, R.; Giuliani, F.; Procesi, M.
2019
Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482
Zhao, Wenqiang; Li, Yangrong
2014
Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236
Caraballo, Tomás; Han, Xiaoying
2014
A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential. Zbl 1156.35095
Tao, Terence
2008
An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091
Fan, Lili; Gao, Hongjun; Xiao, Qingkun
2018
On the regularity of the solution map of the incompressible Euler equation. Zbl 1326.35254
Inci, H.
2015
On the global well-posedness for Euler equations with unbounded vorticity. Zbl 1327.76021
Bernicot, Frédéric; Hmidi, Taoufik
2015
Persistent homoclinic orbits for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35391
Li, Y. Charles
2004
The Robbin–Salamon index theorem in Banach spaces with UMD. Zbl 1090.47006
Rabier, Patrick J.
2004
Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise. Zbl 1203.60088
Marinelli, Carlo; Ziglio, Giacomo
2010
Stability of parabolic-hyperbolic traveling waves. Zbl 1260.35009
Rottmann-Matthes, Jens
2012
Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space. Zbl 1316.35259
Banica, Valeria; Duyckaerts, Thomas
2015
Weighted energy decay for 1D Dirac equation. Zbl 1231.35188
Kopylova, E. A.
2011
On the dynamics of a quadratic Schrödinger system in dimension $$n = 5$$. Zbl 1439.35444
2020
On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479
Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng
2018
Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211
Ambrosio, Vincenzo
2019
Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036
Jiu, Quansen; Liu, Jitao
2018
On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151
Oh, Tadahiro; Richards, Geordie; Thomann, Laurent
2016
Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect. Zbl 1428.35351
Chen, Zhengzheng; Li, Yeping; Sheng, Mengdi
2019
On a semi-linear wave equation associated with memory conditions at the boundaries: Stability and asymptotic expansion. Zbl 1155.35395
Lê, Út V.
2008
On possible time singular points and eventual regularity of weak solutions to the fractional Navier-Stokes equations. Zbl 1309.35081
Jiu, Quansen; Wang, Yanqing
2014
Entire solutions of the Fisher-KPP equation in time periodic media. Zbl 1282.35023
Sheng, Wei-Jie; Cao, Mei-Ling
2012
Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. Zbl 1105.35083
Li, Y. Charles
2005
Invariant tori of nonlinear Schrödinger equations with a given potential. Zbl 1144.37032
Du, Lijun; Yuan, Xiaoping
2006
On the solvability in the sense of sequences for some non-Fredholm operators. Zbl 1317.35163
Vougalter, Vitali; Volpert, Vitaly
2014
On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052
Dinh, Van Duong
2017
Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039
Yamazaki, Kazuo
2018
Spatial decay of rotating waves in reaction diffusion systems. Zbl 1348.35106
Beyn, Wolf-Jürgen; Otten, Denny
2016
Well-posedness for fractional Navier-Stokes equations in critical spaces $$\dot B _{\infty, \infty}^{-(2\beta-1)}(\mathbb R^n)$$. Zbl 1196.35157
Zhai, Zhichun
2010
On a semi-linear wave equation associated with memory conditions at the boundaries: Unique, existence and regularity. Zbl 1155.35394
Lê, Út V.
2008
Rotating points for the conformal NLS scattering operator. Zbl 1191.35270
Carles, Rémi
2009
Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. Zbl 1339.35055
You, Bo; Li, Fang
2016
Dynamics on resonant clusters for the quintic nonlinear Schrödinger equation. Zbl 1346.35187
Haus, Emanuele; Thomann, Laurent
2013
Positive solutions to the singular $$p$$-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales. Zbl 1241.34098
Su, Youhui; Feng, Zhaosheng
2011
On stability of the catenoid under vanishing mean curvature flow on Minkowski space. Zbl 1276.53070
2012
On the strong solutions for a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes model. Zbl 1435.35118
Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim
2020
Modulational instability for nonlinear Schrödinger equations with a periodic potential. Zbl 1105.35113
Bronski, Jared C.; Rapti, Zoi
2005
Kink-like periodic travelling waves for lattice equations with on-site and inter-site potentials. Zbl 1108.34037
Fečkan, Michal; Rothos, Vassilis
2005
The low regularity global solutions for the critical generalized KdV equation. Zbl 1234.35228
Miao, Changxing; Shao, Shuanglin; Wu, Yifei; Xu, Guixiang
2010
Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090
Sun, Chengfeng; Gao, Hongjun
2010
Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups. Zbl 1404.35126
Cacciafesta, F.; Fanelli, L.
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129
Alfaro, Matthieu; Carles, Rémi
2017
A remark on attractor bifurcation. Zbl 1465.35045
Li, Chunqiu; Li, Desheng; Wang, Jintao
2021
Existence and symmetry of solutions to 2-D Schrödinger-Newton equations. Zbl 1466.35211
Cao, Daomin; Dai, Wei; Zhang, Yang
2021
Lions-type theorem of the fractional Laplacian and applications. Zbl 1476.35307
Feng, Zhaosheng; Su, Yu
2021
Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations. Zbl 1462.35344
Alouini, Brahim
2021
On the dynamics of a quadratic Schrödinger system in dimension $$n = 5$$. Zbl 1439.35444
2020
On the strong solutions for a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes model. Zbl 1435.35118
Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim
2020
Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Zbl 1451.93022
Duca, Alessandro
2020
Liouville type theorems for 3D stationary Navier-Stokes equations in weighted mixed-norm Lebesgue spaces. Zbl 1445.35098
Phan, Tuoc
2020
Almost sure existence of global weak solutions to the Boussinesq equations. Zbl 1434.35067
Wang, Weinan; Yue, Haitian
2020
Global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1434.35093
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong
2020
Symmetric and uniform analytic solutions in phase space for Navier-Stokes equations. Zbl 1434.35070
Yang, Qixiang
2020
Least energy sign-changing solution to a fractional $$p$$-Laplacian problem involving singularities. Zbl 1431.35050
Ghosh, Sekhar; Saoudi, K.; Kratou, M.; Choudhuri, D.
2020
On coupled systems of PDEs with unbounded coefficients. Zbl 1447.35180
Angiuli, Luciana; Lorenzi, Luca
2020
A remark on norm inflation for nonlinear wave equations. Zbl 1455.35009
Forlano, Justin; Okamoto, Mamoru
2020
Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096
Feola, R.; Giuliani, F.; Procesi, M.
2019
Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211
Ambrosio, Vincenzo
2019
Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect. Zbl 1428.35351
Chen, Zhengzheng; Li, Yeping; Sheng, Mengdi
2019
Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups. Zbl 1404.35126
Cacciafesta, F.; Fanelli, L.
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Gradient estimates for Stokes systems in domains. Zbl 1404.35162
Choi, Jongkeun; Dong, Hongjie
2019
On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047
Komech, Alexander; Kopylova, Elena
2019
Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in $$\mathbb{R}^2$$. Zbl 1421.35033
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio
2019
Asymptotic autonomy of kernel sections for Newton-Boussinesq equations on unbounded zonary domains. Zbl 1421.35037
Wang, Renhai; Li, Yangrong
2019
Long time behavior of the NLS-Szegő equation. Zbl 1428.37076
Sun, Ruoci
2019
Stability of hyperbolic-parabolic mixed type equations. Zbl 1421.35230
Zhan, Huashui; Feng, Zhaosheng
2019
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain. Zbl 1421.35020
Inci, Hasan; Li, Y. Charles
2019
Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251
Henry, D.; Martin, C. I.
2018
An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091
Fan, Lili; Gao, Hongjun; Xiao, Qingkun
2018
On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479
Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng
2018
Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036
Jiu, Quansen; Liu, Jitao
2018
Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039
Yamazaki, Kazuo
2018
Degenerate non-Newtonian fluid equation on the half space. Zbl 1388.35093
Zhan, Huashui; Feng, Zhaosheng
2018
On the inviscid limit of the 2D magnetohydrodynamic system with vorticity in Yudovich-type space. Zbl 1382.35209
Chen, Qionglei; Yu, Huan
2018
Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2018
Optimal rate of convergence in stratified Boussinesq system. Zbl 1404.35366
Meddour, H.; Zerguine, M.
2018
Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II: Small energy case. Zbl 1404.35292
Li, Ze; Ma, Xiao; Zhao, Lifeng
2018
A class of semilinear delay differential equations with nonlocal initial conditions. Zbl 1383.34096
Vrabie, Ioan I.
2018
Travelling waves over an arbitrary bathymetry: a local stability result. Zbl 1406.35085
Fortunati, Alessandro
2018
On some degenerate non-local parabolic equation associated with the fractional $$p$$-Laplacian. Zbl 06695569
2017
Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064
Yin, Jinyan; Gu, Anhui; Li, Yangrong
2017
The derivative NLS equation: global existence with solitons. Zbl 1386.35311
Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke
2017
Stability and uniqueness of traveling waves of a non-local dispersal SIR epidemic model. Zbl 1380.37147
Li, Yan; Li, Wan-Tong; Zhang, Guo-Bao
2017
On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052
Dinh, Van Duong
2017
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129
Alfaro, Matthieu; Carles, Rémi
2017
Logarithmic stability in determining a boundary coefficient in an IBVP for the wave equation. Zbl 06695568
2017
On the universality of potential well dynamics. Zbl 1383.37016
Tao, Terence
2017
Inverse spectral theory and the Minkowski problem for the surface of revolution. Zbl 06823426
Isozaki, Hiroshi; Korotyaev, Evgeny L.
2017
Small $$\dot{B}^{-1}_{\infty,\infty}$$ implies regularity. Zbl 1361.35145
Hmidi, Taoufik; Li, Dong
2017
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay. Zbl 1382.35229
Liu, Linfang; Caraballo, Tomás; Fu, Xianlong
2017
Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains. Zbl 1383.35043
Martinez, Vincent R.; Zhao, Kun
2017
Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane. Zbl 1382.58016
Chan, Chi Hin; Chen, Che-Kai; Czubak, Magdalena
2017
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163
Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof
2017
Fractional abstract Cauchy problem with order $$\alpha \in (1,2)$$. Zbl 1355.35193
Li, Ya-Ning; Sun, Hong-Rui; Feng, Zhaosheng
2016
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity. Zbl 1365.35082
Corli, Andrea; Malaguti, Luisa
2016
On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151
Oh, Tadahiro; Richards, Geordie; Thomann, Laurent
2016
Spatial decay of rotating waves in reaction diffusion systems. Zbl 1348.35106
Beyn, Wolf-Jürgen; Otten, Denny
2016
Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. Zbl 1339.35055
You, Bo; Li, Fang
2016
Infinite energy solutions for a 1D transport equation with nonlocal velocity. Zbl 1350.35062
Lazar, Omar; Lemarié-Rieusset, Pierre-Gilles
2016
Remarks on ill-posedness for the Dirac-Klein-Gordon system. Zbl 1347.35210
Shuji, Machihara; Okamoto, Mamoru
2016
Solutions of the Camassa-Holm equation with accumulating breaking times. Zbl 1365.35136
Grunert, Katrin
2016
Faedo-Galerkin approximations to fractional integro-differential equation of order $$\alpha\in(1,2]$$ with deviated argument. Zbl 1360.34164
Muslim, M.
2016
Stability of solutions to nonlinear wave equations with switching time delay. Zbl 1350.35135
Fragnelli, G.; Pignotti, C.
2016
Synchronization in coupled second order in time infinite-dimensional models. Zbl 1351.37260
Chueshov, Igor
2016
Periodic solutions for a class of one-dimensional Boussinesq systems. Zbl 1347.35206
Quintero, José R.; Montes, Alex M.
2016
On the hyperbolicity properties of inertial manifolds of reaction-diffusion equations. Zbl 1439.35273
Romanov, A. V.
2016
Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension. Zbl 1345.35098
Da Rocha, Victor V.
2016
A topological approach to the existence and multiplicity of positive solutions of $$(p, q)$$-Laplacian systems. Zbl 1328.35043
Infante, Gennaro; Maciejewski, Mateusz; Precup, Radu
2015
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
2015
Existence of stationary solutions for some nonlocal reaction-diffusion equations. Zbl 1325.35250
Vougalter, Vitali; Volpert, Vitaly
2015
On the regularity of the solution map of the incompressible Euler equation. Zbl 1326.35254
Inci, H.
2015
On the global well-posedness for Euler equations with unbounded vorticity. Zbl 1327.76021
Bernicot, Frédéric; Hmidi, Taoufik
2015
Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space. Zbl 1316.35259
Banica, Valeria; Duyckaerts, Thomas
2015
On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051
Berselli, Luigi C.; Catania, Davide
2015
Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264
Liu, Y.; Wang, Y.; Xiao, J.
2015
Sobolev spaces on time scales and applications to semilinear Dirichlet problems. Zbl 1362.46041
Su, You-Hui; Yao, Jinghua; Feng, Zhaosheng
2015
On a non-homogeneous and non-linear heat equation. Zbl 1364.35111
Bisconti, Luca; Franca, Matteo
2015
On the locally self-similar singular solutions for the incompressible Euler equations. Zbl 1398.35158
Xue, Liutang
2015
On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361
Komech, A. I.
2015
Trace formulas for fourth order operators on unit interval. II. Zbl 1326.47046
2015
Random attractor for stochastic wave equation with arbitrary exponent and additive noise on $$\mathbb{R}^n$$. Zbl 1343.35248
Li, Hongyan; You, Yuncheng
2015
Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117
Wang, Jinrong; Fĕckan, Michal; Zhou, Yong
2014
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303
Xiao, Jie
2014
Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060
Dong, Hongjie; Gu, Xumin
2014
Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1304.35112
Bosia, Stefano; Gatti, Stefania
2014
Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482
Zhao, Wenqiang; Li, Yangrong
2014
Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236
Caraballo, Tomás; Han, Xiaoying
2014
On possible time singular points and eventual regularity of weak solutions to the fractional Navier-Stokes equations. Zbl 1309.35081
Jiu, Quansen; Wang, Yanqing
2014
On the solvability in the sense of sequences for some non-Fredholm operators. Zbl 1317.35163
Vougalter, Vitali; Volpert, Vitaly
2014
Global well-posedness for the critical Schrödinger-Debye system. Zbl 1303.35087
Carvajal, Xavier; Gamboa, Pedro
2014
Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains. Zbl 1347.35044
Arat, Zehra; Khanmamedov, Azer; Simsek, Sema
2014
Global regularity for a logarithmically supercritical hyperdissipative dyadic equation. Zbl 1304.35479
Barbato, D.; Morandin, F.; Romito, M.
2014
Log-Lipschitz continuity of the vector field on the attractor of certain parabolic equations. Zbl 1315.35038
De Moura, Eleonora Pinto; Robinson, James C.
2014
Asymptotic profiles for the second grade fluids equations in $$\mathbb{R}^3$$. Zbl 1297.35180
Coulaud, Olivier
2014
The Krasnosel’skiĭ-Quittner formula and instability of a reaction-diffusion system with unilateral obstacles. Zbl 1308.35031
Kim, In-Sook; Väth, Martin
2014
Dynamics of stochastic modified Boussinesq approximation equation driven by fractional Brownian motion. Zbl 1294.35201
Huang, Jianhua; Li, Jin; Shen, Tianlong
2014
Global wellposedness of an inviscid $$2D$$ Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319
Li, Dong; Xu, Xiaojing
2013
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136
Caraballo, T.; Márquez-Durán, A. M.
2013
Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Zbl 1307.35189
Chan, Chi Hin; Czubak, Magdalena
2013
Timoshenko systems with fading memory. Zbl 1294.47098
Conti, Monica; Dell&rsquo;Oro, Filippo; Pata, Vittorino
2013
Dynamics on resonant clusters for the quintic nonlinear Schrödinger equation. Zbl 1346.35187
Haus, Emanuele; Thomann, Laurent
2013
...and 128 more Documents
all top 5

### Cited by 1,970 Authors

 30 Wang, Jinrong 25 Shen, Wenxian 16 Donninger, Roland 16 Himonas, A. Alexandrou 16 Li, Yangrong 15 Zhang, Bingyu 14 Vougalter, Vitali 13 Dinh, Van Duong 13 Gou, Haide 13 Grasselli, Maurizio 12 Benci, Vieri 12 Caraballo Garrido, Tomás 12 Green, William R. 12 Li, Pengtao 12 Naumkin, Pavel Ivanovich 11 Coclite, Giuseppe Maria 11 Di Ruvo, Lorenzo 11 Fečkan, Michal 11 Merle, Frank 11 Mi, Yongsheng 11 Miao, Changxing 11 Mityagin, Boris Samuilovich 11 Pelinovsky, Dmitry Efimovich 11 Saanouni, Tarek 11 Salako, Rachidi Bolaji 11 Tzvetkov, Nikolay 10 Djakov, Plamen B. 10 Guo, Boling 10 Hayashi, Nakao 10 Miranville, Alain M. 10 Mu, Chunlai 10 Pandey, Dwijendra Narain 10 Wu, Jiahong 10 Zhou, Yong 9 Fortunato, Donato 9 Gal, Ciprian Gheorghe Sorin 9 Kwak, Chulkwang 9 Li, Yongsheng 9 Li, Yongxiang 9 Nadin, Grégoire 9 Oh, Tadahiro 9 Parshad, Rana D. 9 Qu, Changzheng 9 Wang, Renhai 9 Woukeng, Jean Louis 9 Wu, Gang 9 Xiao, Jie 9 Xu, Guixiang 9 Zhang, Junyong 9 Zheng, Jiqiang 9 Zhou, Shouming 8 Erdoğan, Mehmet Burak 8 Hamel, François 8 Li, Baolin 8 Liu, Yue 8 Martel, Yvan 8 Yan, Wei 8 Yang, Qixiang 8 Yin, Zhaoyang 8 Zhai, Zhichun 8 Zhu, Shihui 7 Cavalcante, Márcio André Araújo 7 Chang, Xiangke 7 Comech, Andrew 7 Czubak, Magdalena 7 Feng, Binhua 7 Jorge da Silva, Marcio Antonio 7 Kenig, Carlos Eduardo 7 Li, Wan-Tong 7 Li, Y. Charles 7 Liu, Xianghu 7 Liu, Zhenhai 7 Pastor, Ademir 7 Sprekels, Jürgen 7 Sun, Shuming 7 Thomann, Laurent 7 Volpert, Vitaly A. 7 You, Yuncheng 7 Zhang, Xuping 7 Zhao, Lifeng 6 Bao, Xiongxiong 6 Blömker, Dirk 6 Chadha, Alka 6 Chan, Chi Hin 6 Corli, Andrea 6 Deugoue, Gabriel 6 Feng, Zhaosheng 6 Frigeri, Sergio 6 Giuliani, Filippo 6 Glogić, Irfan 6 Ibrahim, Ahmed Gamal 6 Keraani, Sahbi 6 Kevrekidis, Panayotis G. 6 Latushkin, Yuri 6 Malaguti, Luisa 6 Mantzavinos, Dionyssios 6 O’Regan, Donal 6 Otten, Denny 6 Schörkhuber, Birgit 6 Stefanov, Atanas G. ...and 1,870 more Authors
all top 5

### Cited in 301 Journals

 121 Journal of Differential Equations 82 Journal of Mathematical Analysis and Applications 72 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Journal of Mathematical Physics 47 Discrete and Continuous Dynamical Systems 41 Communications in Mathematical Physics 34 Journal of Functional Analysis 32 Communications on Pure and Applied Analysis 30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Journal of Dynamics and Differential Equations 26 Nonlinear Analysis. Real World Applications 25 Archive for Rational Mechanics and Analysis 25 Applied Mathematics and Computation 25 Transactions of the American Mathematical Society 25 Advances in Difference Equations 24 Discrete and Continuous Dynamical Systems. Series B 23 SIAM Journal on Mathematical Analysis 23 Journal of Mathematical Fluid Mechanics 21 Boundary Value Problems 20 Mathematical Methods in the Applied Sciences 20 Nonlinearity 19 Journal of Nonlinear Science 18 Proceedings of the American Mathematical Society 18 Journal of Evolution Equations 17 Applicable Analysis 17 Advances in Mathematics 17 Physica D 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 NoDEA. Nonlinear Differential Equations and Applications 17 Discrete and Continuous Dynamical Systems. Series S 16 Computers & Mathematics with Applications 16 Applied Mathematics Letters 16 Abstract and Applied Analysis 13 Mediterranean Journal of Mathematics 12 Journal of Computational and Applied Mathematics 12 Communications in Partial Differential Equations 12 Calculus of Variations and Partial Differential Equations 12 Communications in Nonlinear Science and Numerical Simulation 10 Acta Mathematica Sinica. English Series 10 Evolution Equations and Control Theory 10 Journal of Function Spaces 9 Chaos, Solitons and Fractals 9 Acta Applicandae Mathematicae 9 Asymptotic Analysis 9 Journal of Inequalities and Applications 8 Nonlinear Dynamics 8 Fractional Calculus & Applied Analysis 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Journal of Pseudo-Differential Operators and Applications 7 Letters in Mathematical Physics 7 Monatshefte für Mathematik 7 Journal of Mathematical Sciences (New York) 7 Journal of Nonlinear Mathematical Physics 7 Journal of Hyperbolic Differential Equations 6 The Journal of Geometric Analysis 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Communications in Contemporary Mathematics 6 Advanced Nonlinear Studies 6 Advances in Mathematical Physics 6 Advances in Nonlinear Analysis 5 Communications on Pure and Applied Mathematics 5 Journal of Statistical Physics 5 Physics Letters. A 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Applied Mathematics and Optimization 5 Collectanea Mathematica 5 Inventiones Mathematicae 5 Journal of Optimization Theory and Applications 5 Stochastic Analysis and Applications 5 European Journal of Applied Mathematics 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Potential Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Mathematical Problems in Engineering 5 Taiwanese Journal of Mathematics 5 Journal of the European Mathematical Society (JEMS) 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Fixed Point Theory and Applications 5 Science China. Mathematics 5 Mathematical Control and Related Fields 5 AIMS Mathematics 4 Mathematical Biosciences 4 Russian Mathematical Surveys 4 Journal of Geometry and Physics 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Revista Matemática Iberoamericana 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Stochastic Processes and their Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Mathematical Physics, Analysis and Geometry 4 Discrete Dynamics in Nature and Society 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Stochastics and Dynamics 4 Complex Variables and Elliptic Equations 4 Frontiers of Mathematics in China 4 Analysis & PDE 4 Forum of Mathematics, Sigma ...and 201 more Journals
all top 5

### Cited in 49 Fields

 1,458 Partial differential equations (35-XX) 299 Fluid mechanics (76-XX) 282 Dynamical systems and ergodic theory (37-XX) 222 Ordinary differential equations (34-XX) 170 Operator theory (47-XX) 89 Probability theory and stochastic processes (60-XX) 85 Biology and other natural sciences (92-XX) 73 Systems theory; control (93-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 68 Quantum theory (81-XX) 67 Real functions (26-XX) 56 Numerical analysis (65-XX) 53 Global analysis, analysis on manifolds (58-XX) 51 Integral equations (45-XX) 50 Functional analysis (46-XX) 40 Statistical mechanics, structure of matter (82-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 32 Mechanics of deformable solids (74-XX) 29 Optics, electromagnetic theory (78-XX) 23 Differential geometry (53-XX) 23 Geophysics (86-XX) 21 Mechanics of particles and systems (70-XX) 17 Potential theory (31-XX) 16 Difference and functional equations (39-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Statistics (62-XX) 9 Integral transforms, operational calculus (44-XX) 8 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Measure and integration (28-XX) 7 Relativity and gravitational theory (83-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX)