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: 307 Publications (since 2004) all top 5 Latest Issues 20, No. 1 (2022) 19, No. 4 (2022) 19, No. 3 (2022) 19, No. 2 (2022) 19, No. 1 (2022) 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 8 Fečkan, Michal 6 Tao, Terence 5 You, Yuncheng 4 Li, Dong 4 Li, Yangrong 4 Pelinovsky, Dmitry Efimovich 4 Wang, Jinrong 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 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 Li, Yeping 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 Zha, Dongbing 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 Bessa, Mário 1 Bethuel, Fabrice 1 Bisconti, Luca 1 Blömker, Dirk 1 Bolsinov, Alexey V. 1 Bona, Jerry Lloyd 1 Bosia, Stefano 1 Botkin, Nikolai D. ...and 357 more Authors all top 5 Fields 282 Partial differential equations (35-XX) 77 Fluid mechanics (76-XX) 66 Dynamical systems and ergodic theory (37-XX) 37 Operator theory (47-XX) 22 Ordinary differential equations (34-XX) 13 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of deformable solids (74-XX) 11 Biology and other natural sciences (92-XX) 10 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Real functions (26-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 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 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 242 Publications have been cited 2,146 times in 1,962 Documents Cited by ▼ Year ▼ Explicit multipeakon solutions of Novikov’s cubically nonlinear integrable Camassa-Holm type equation. Zbl 1179.37092Hone, Andrew N. W.; Lundmark, Hans; Szmigielski, Jacek 129 2009 On the new concept of solutions and existence results for impulsive fractional evolution equations. Zbl 1264.34014Wang, JinRong; Fečkan, Michal; Zhou, Yong 129 2011 Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case. Zbl 1155.35096Pausader, Benoit 102 2007 Blow up and regularity for fractal Burgers equation. Zbl 1186.35020Kiselev, Alexander; Nazarov, Fedor; Shterenberg, Roman 83 2008 Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166Nolen, James; Rudd, Matthew; Xin, Jack 63 2005 Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008Xiao, Jie 47 2007 The generalized incompressible Navier-Stokes equations in Besov spaces. Zbl 1075.35043Wu, Jiahong 47 2004 Wave breaking in the short-pulse equation. Zbl 1190.35061Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 43 2009 On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144Tao, Terence 38 2004 Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials. Zbl 1280.35089Frigeri, Sergio; Grasselli, Maurizio 36 2012 Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117Wang, Jinrong; Fĕckan, Michal; Zhou, Yong 35 2014 Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044Donninger, Roland; Schörkhuber, Birgit 35 2012 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 33 2006 Integrable nonlinear Schrödinger systems and their soliton dynamics. Zbl 1153.35389Ablowitz, M. J.; Prinari, B.; Trubatch, A. D. 30 2004 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102Erdoğan, M. Burak; Schlag, Wilhelm 30 2004 Global dynamics of the Brusselator equations. Zbl 1158.37028You, Yuncheng 29 2007 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 28 2006 Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319Li, Dong; Xu, Xiaojing 27 2013 Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136Caraballo, T.; Márquez-Durán, A. M. 24 2013 Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions. Zbl 1145.35089Tao, Terence 23 2006 A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations. Zbl 1142.35088Tao, Terence 23 2007 A symplectic non-squeezing theorem for BBM equation. Zbl 1216.35124Roumégoux, David 21 2010 Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\). Zbl 1355.35193Li, Ya-Ning; Sun, Hong-Rui; Feng, Zhaosheng 20 2016 On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian. Zbl 06695569Gal, Ciprian G.; Warma, Mahamadi 20 2017 Regularity and blow up in a surface growth model. Zbl 1179.35083Blömker, Dirk; Romito, Marco 19 2009 Spectral expansions of one-dimensional periodic Dirac operators. Zbl 1092.34048Mityagin, Boris 18 2004 Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1194.35436Zhu, Shihui; Zhang, Jian; Yang, Han 17 2010 Invariant measure for the cubic wave equation on the unit ball of \(\mathbb{R}^3\). Zbl 1237.35118de Suzzoni, Anne-Sophie 16 2011 Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E. 16 2009 Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\). Zbl 1256.35144Zhang, Jian; Zhu, Shihui 16 2011 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 16 2017 Velocity averaging – a general framework. Zbl 1267.35111Lazar, Martin; Mitrović, Darko 15 2012 Exact solutions of diffusion-convection equations. Zbl 1151.35005Ivanova, Nataliya M. 15 2008 Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Zbl 1307.35189Chan, Chi Hin; Czubak, Magdalena 15 2013 Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064Yin, Jinyan; Gu, Anhui; Li, Yangrong 15 2017 Stability of \(N\) solitary waves for the generalized BBM equations. Zbl 1080.35116El Dika, Khaled; Martel, Yvan 14 2004 Spectral gaps of Schrödinger operators with periodic singular potentials. Zbl 1238.34151Djakov, Plamen; Mityagin, Boris 14 2009 Denoising deterministic time series. Zbl 1137.37334Lalley, Steven P.; Nobel, A. B. 14 2006 Stochastic \(\Sigma\)-convergence and applications. Zbl 1254.35019Sango, Mamadou; Woukeng, Jean Louis 14 2011 Multiple bifurcations and spatiotemporal patterns for a coupled two-cell Brusselator model. Zbl 1254.35115Zuo, Wenjie; Wei, Junjie 14 2011 Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303Xiao, Jie 13 2014 Nonlinear stability of rotating patterns. Zbl 1173.35018Beyn, Wolf-Jürgen; Lorenz, Jens 12 2008 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 12 2008 Well-posedness and long time behavior of the non-isothermal viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1162.35043Gal, Ciprian 12 2008 Stability and uniqueness of traveling waves of a non-local dispersal SIR epidemic model. Zbl 1380.37147Li, Yan; Li, Wan-Tong; Zhang, Guo-Bao 12 2017 Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1304.35112Bosia, Stefano; Gatti, Stefania 11 2014 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds. Zbl 1137.35010Banica, Valeria; Duyckaerts, Thomas 11 2007 Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211Ambrosio, Vincenzo 11 2019 Semi-wavefront solutions in models of collective movements with density-dependent diffusivity. Zbl 1365.35082Corli, Andrea; Malaguti, Luisa 11 2016 Timoshenko systems with fading memory. Zbl 1294.47098Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino 10 2013 Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Zbl 1158.35322Caliari, Marco; Squassina, Marco 10 2008 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 10 2015 Regularity for quasi-linear elliptic systems with discontinuous coefficients. Zbl 1167.35536Zheng, S.; Feng, Z. 10 2008 Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251Henry, D.; Martin, C. I. 10 2018 Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect. Zbl 1428.35351Chen, Zhengzheng; Li, Yeping; Sheng, Mengdi 10 2019 Investigation of the long time dynamics of a diffusive three species aquatic model. Zbl 1227.35082Parshad, Rana D.; Upadhyay, Ranjit K. 9 2010 A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential. Zbl 1156.35095Tao, Terence 9 2008 Existence of stationary solutions for some nonlocal reaction-diffusion equations. Zbl 1325.35250Vougalter, Vitali; Volpert, Vitaly 9 2015 A topological approach to the existence and multiplicity of positive solutions of \((p, q)\)-Laplacian systems. Zbl 1328.35043Infante, Gennaro; Maciejewski, Mateusz; Precup, Radu 9 2015 Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236Caraballo, Tomás; Han, Xiaoying 9 2014 Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096Feola, R.; Giuliani, F.; Procesi, M. 9 2019 Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482Zhao, Wenqiang; Li, Yangrong 8 2014 Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space. Zbl 1316.35259Banica, Valeria; Duyckaerts, Thomas 8 2015 On the global well-posedness for Euler equations with unbounded vorticity. Zbl 1327.76021Bernicot, Frédéric; Hmidi, Taoufik 8 2015 Persistent homoclinic orbits for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35391Li, Y. Charles 7 2004 The Robbin–Salamon index theorem in Banach spaces with UMD. Zbl 1090.47006Rabier, Patrick J. 7 2004 On the solvability in the sense of sequences for some non-Fredholm operators. Zbl 1317.35163Vougalter, Vitali; Volpert, Vitaly 7 2014 Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise. Zbl 1203.60088Marinelli, Carlo; Ziglio, Giacomo 7 2010 On the regularity of the solution map of the incompressible Euler equation. Zbl 1326.35254Inci, H. 7 2015 Weighted energy decay for 1D Dirac equation. Zbl 1231.35188Kopylova, E. A. 7 2011 On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151Oh, Tadahiro; Richards, Geordie; Thomann, Laurent 7 2016 Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036Jiu, Quansen; Liu, Jitao 7 2018 An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091Fan, Lili; Gao, Hongjun; Xiao, Qingkun 7 2018 Stability of parabolic-hyperbolic traveling waves. Zbl 1260.35009Rottmann-Matthes, Jens 7 2012 On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\). Zbl 1439.35444Noguera, Norman; Pastor, Ademir 7 2020 On a semi-linear wave equation associated with memory conditions at the boundaries: Stability and asymptotic expansion. Zbl 1155.35395Lê, Út V. 6 2008 Global dynamics of nonlinear wave equations with cubic non-monotone damping. Zbl 1073.35177You, Yuncheng 6 2004 Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090Sun, Chengfeng; Gao, Hongjun 6 2010 Dynamics on resonant clusters for the quintic nonlinear Schrödinger equation. Zbl 1346.35187Haus, Emanuele; Thomann, Laurent 6 2013 Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. Zbl 1105.35083Li, Y. Charles 6 2005 On possible time singular points and eventual regularity of weak solutions to the fractional Navier-Stokes equations. Zbl 1309.35081Jiu, Quansen; Wang, Yanqing 6 2014 Invariant tori of nonlinear Schrödinger equations with a given potential. Zbl 1144.37032Du, Lijun; Yuan, Xiaoping 6 2006 Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039Yamazaki, Kazuo 6 2018 Solution interaction with small Toeplitz potentials for the Szegő equation on \(\mathbb R\). Zbl 1260.35014Pocovnicu, Oana 6 2012 On the strong solutions for a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes model. Zbl 1435.35118Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim 6 2020 Spatial decay of rotating waves in reaction diffusion systems. Zbl 1348.35106Beyn, Wolf-Jürgen; Otten, Denny 6 2016 On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng 6 2018 Entire solutions of the Fisher-KPP equation in time periodic media. Zbl 1282.35023Sheng, Wei-Jie; Cao, Mei-Ling 6 2012 On a semi-linear wave equation associated with memory conditions at the boundaries: Unique, existence and regularity. Zbl 1155.35394Lê, Út V. 5 2008 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270Carles, Rémi 5 2009 The low regularity global solutions for the critical generalized KdV equation. Zbl 1234.35228Miao, Changxing; Shao, Shuanglin; Wu, Yifei; Xu, Guixiang 5 2010 Geometry of nonabelian charged fluids. Zbl 1229.37098Gay-Balmaz, François; Ratiu, Tudor S. 5 2011 Modulational instability for nonlinear Schrödinger equations with a periodic potential. Zbl 1105.35113Bronski, Jared C.; Rapti, Zoi 5 2005 Kink-like periodic travelling waves for lattice equations with on-site and inter-site potentials. Zbl 1108.34037Fečkan, Michal; Rothos, Vassilis 5 2005 Well-posedness for fractional Navier-Stokes equations in critical spaces \(\dot B _{\infty, \infty}^{-(2\beta-1)}(\mathbb R^n)\). Zbl 1196.35157Zhai, Zhichun 5 2010 Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales. Zbl 1241.34098Su, Youhui; Feng, Zhaosheng 5 2011 Degenerate non-Newtonian fluid equation on the half space. Zbl 1388.35093Zhan, Huashui; Feng, Zhaosheng 5 2018 Enstrophy growth in the viscous Burgers equation. Zbl 1410.35180Pelinovsky, Dmitry 5 2012 Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264Liu, Y.; Wang, Y.; Xiao, J. 5 2015 Global strong solution to the Cauchy problem of 1D viscous two-fluid model without any domination condition. Zbl 1491.76060Gao, Xiaona; Guo, Zhenhua; Li, Zilai 1 2022 Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields. Zbl 1486.35085Cacciafesta, Federico; Yin, Zhiqing; Zhang, Junyong 1 2022 Lions-type theorem of the fractional Laplacian and applications. Zbl 1476.35307Feng, Zhaosheng; Su, Yu 4 2021 \(W^{1,\infty}\) instability of \(H^1\)-stable peakons in the Novikov equation. Zbl 1471.35092Chen, Robin Ming; Pelinovsky, Dmitry E. 3 2021 A remark on attractor bifurcation. Zbl 1465.35045Li, Chunqiu; Li, Desheng; Wang, Jintao 3 2021 A new approach to study constant vorticity water flows in the \(\beta \)-plane approximation with centripetal forces. Zbl 1473.35233Miao, Fahe; Fečkan, Michal; Wang, Jinrong 2 2021 Global well-posedness for the fifth-order Kadomtsev-Petviashvili II equation in anisotropic Gevrey spaces. Zbl 1470.35303Boukarou, Aissa; Oliveira da Silva, Daniel; Guerbati, Kaddour; Zennir, Khaled 2 2021 Existence and symmetry of solutions to 2-D Schrödinger-Newton equations. Zbl 1466.35211Cao, Daomin; Dai, Wei; Zhang, Yang 2 2021 Almost continuity of a pullback random attractor for the stochastic \(g\)-Navier-Stokes equation. Zbl 07384144Li, Yangrong; Yang, Shuang 1 2021 Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations. Zbl 1462.35344Alouini, Brahim 1 2021 Strong solutions to the Cauchy problem of two-dimensional nonhomogeneous micropolar fluid equations with nonnegative density. Zbl 1460.35303Zhong, Xin 1 2021 On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\). Zbl 1439.35444Noguera, Norman; Pastor, Ademir 7 2020 On the strong solutions for a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes model. Zbl 1435.35118Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim 6 2020 Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Zbl 1451.93022Duca, Alessandro 4 2020 A remark on norm inflation for nonlinear wave equations. Zbl 1455.35009Forlano, Justin; Okamoto, Mamoru 4 2020 Exact and explicit internal water waves at arbitrary latitude with underlying currents. Zbl 1431.74047Yang, Yanjuan; Wang, Xun 2 2020 On coupled systems of PDEs with unbounded coefficients. Zbl 1447.35180Angiuli, Luciana; Lorenzi, Luca 2 2020 Almost sure existence of global weak solutions to the Boussinesq equations. Zbl 1434.35067Wang, Weinan; Yue, Haitian 2 2020 Liouville type theorems for 3D stationary Navier-Stokes equations in weighted mixed-norm Lebesgue spaces. Zbl 1445.35098Phan, Tuoc 2 2020 Equivalent definitions of Caputo derivatives and applications to subdiffusion equations. Zbl 1455.35288Krasnoschok, Mykola; Pata, Vittorino; Siryk, Sergii V.; Vasylyeva, Nataliya 2 2020 Global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1434.35093Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong 1 2020 Symmetric and uniform analytic solutions in phase space for Navier-Stokes equations. Zbl 1434.35070Yang, Qixiang 1 2020 Least energy sign-changing solution to a fractional \(p\)-Laplacian problem involving singularities. Zbl 1431.35050Ghosh, Sekhar; Saoudi, K.; Kratou, M.; Choudhuri, D. 1 2020 Long time dynamics for the focusing nonlinear Schrödinger equation with exponential nonlinearities. Zbl 1454.35335Dinh, Van Duong; Keraani, Sahbi; Majdoub, Mohamed 1 2020 Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211Ambrosio, Vincenzo 11 2019 Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect. Zbl 1428.35351Chen, Zhengzheng; Li, Yeping; Sheng, Mengdi 10 2019 Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096Feola, R.; Giuliani, F.; Procesi, M. 9 2019 Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups. Zbl 1404.35126Cacciafesta, F.; Fanelli, L. 5 2019 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 2019 Gradient estimates for Stokes systems in domains. Zbl 1404.35162Choi, Jongkeun; Dong, Hongjie 4 2019 Asymptotic autonomy of kernel sections for Newton-Boussinesq equations on unbounded zonary domains. Zbl 1421.35037Wang, Renhai; Li, Yangrong 4 2019 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047Komech, Alexander; Kopylova, Elena 3 2019 Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in \(\mathbb{R}^2\). Zbl 1421.35033Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio 3 2019 Global regularity of the two-dimensional regularized MHD equations. Zbl 1412.35273Ye, Zhuan 2 2019 Long time behavior of the NLS-Szegő equation. Zbl 1428.37076Sun, Ruoci 2 2019 Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain. Zbl 1421.35020Inci, Hasan; Li, Y. Charles 2 2019 Stability of hyperbolic-parabolic mixed type equations. Zbl 1421.35230Zhan, Huashui; Feng, Zhaosheng 1 2019 Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251Henry, D.; Martin, C. I. 10 2018 Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036Jiu, Quansen; Liu, Jitao 7 2018 An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091Fan, Lili; Gao, Hongjun; Xiao, Qingkun 7 2018 Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039Yamazaki, Kazuo 6 2018 On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng 6 2018 Degenerate non-Newtonian fluid equation on the half space. Zbl 1388.35093Zhan, Huashui; Feng, Zhaosheng 5 2018 Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II: Small energy case. Zbl 1404.35292Li, Ze; Ma, Xiao; Zhao, Lifeng 4 2018 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 3 2018 Optimal rate of convergence in stratified Boussinesq system. Zbl 1404.35366Meddour, H.; Zerguine, M. 3 2018 On the inviscid limit of the 2D magnetohydrodynamic system with vorticity in Yudovich-type space. Zbl 1382.35209Chen, Qionglei; Yu, Huan 3 2018 Invariant tori for a fifth order nonlinear partial differential equation with unbounded perturbation. Zbl 1391.35353Cui, Wenyan; Mi, Lufang; Zhang, Jumei; Yin, Li 1 2018 A class of semilinear delay differential equations with nonlocal initial conditions. Zbl 1383.34096Vrabie, Ioan I. 1 2018 Travelling waves over an arbitrary bathymetry: a local stability result. Zbl 1406.35085Fortunati, Alessandro 1 2018 On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian. Zbl 06695569Gal, Ciprian G.; Warma, Mahamadi 20 2017 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 16 2017 Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064Yin, Jinyan; Gu, Anhui; Li, Yangrong 15 2017 Stability and uniqueness of traveling waves of a non-local dispersal SIR epidemic model. Zbl 1380.37147Li, Yan; Li, Wan-Tong; Zhang, Guo-Bao 12 2017 On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052Dinh, Van Duong 5 2017 Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145Hmidi, Taoufik; Li, Dong 4 2017 Logarithmic stability in determining a boundary coefficient in an IBVP for the wave equation. Zbl 06695568Ammari, Kaïs; Choulli, Mourad 4 2017 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129Alfaro, Matthieu; Carles, Rémi 4 2017 On the universality of potential well dynamics. Zbl 1383.37016Tao, Terence 3 2017 Inverse spectral theory and the Minkowski problem for the surface of revolution. 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Zbl 1304.35112Bosia, Stefano; Gatti, Stefania 11 2014 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236Caraballo, Tomás; Han, Xiaoying 9 2014 Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482Zhao, Wenqiang; Li, Yangrong 8 2014 On the solvability in the sense of sequences for some non-Fredholm operators. Zbl 1317.35163Vougalter, Vitali; Volpert, Vitaly 7 2014 On possible time singular points and eventual regularity of weak solutions to the fractional Navier-Stokes equations. Zbl 1309.35081Jiu, Quansen; Wang, Yanqing 6 2014 ...and 142 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,173 Authors 34 Wang, Jinrong 26 Shen, Wenxian 17 Li, Yangrong 17 Zhang, Bingyu 16 Caraballo Garrido, Tomás 16 Donninger, Roland 16 Himonas, A. Alexandrou 15 Vougalter, Vitali 14 Fečkan, Michal 14 Grasselli, Maurizio 14 Li, Pengtao 13 Dinh, Van Duong 13 Gou, Haide 13 Guo, Boling 13 Saanouni, Tarek 13 Tzvetkov, Nikolay 12 Benci, Vieri 12 Coclite, Giuseppe Maria 12 Di Ruvo, Lorenzo 12 Green, William R. 12 Mi, Yongsheng 12 Naumkin, Pavel Ivanovich 12 Pelinovsky, Dmitry Efimovich 11 Merle, Frank 11 Miao, Changxing 11 Mityagin, Boris Samuilovich 11 Oh, Tadahiro 11 Pandey, Dwijendra Narain 11 Qu, Changzheng 11 Salako, Rachidi Bolaji 10 Djakov, Plamen B. 10 Feng, Binhua 10 Gal, Ciprian Gheorghe Sorin 10 Hayashi, Nakao 10 Liu, Yue 10 Miranville, Alain M. 10 Mu, Chunlai 10 Nadin, Grégoire 10 Wang, Renhai 10 Wu, Jiahong 10 Yin, Zhaoyang 10 Zheng, Jiqiang 10 Zhou, Yong 10 Zhu, Shihui 9 Cavalcante, Márcio André Araújo 9 Fortunato, Donato 9 Kwak, Chulkwang 9 Li, Yeping 9 Li, Yongsheng 9 Li, Yongxiang 9 Parshad, Rana D. 9 Pastor, Ademir 9 Sun, Shuming 9 Woukeng, Jean Louis 9 Wu, Gang 9 Xiao, Jie 9 Xu, Guixiang 9 Zhang, Junyong 9 Zhou, Shouming 8 Erdoğan, Mehmet Burak 8 Hamel, François 8 Li, Baolin 8 Liu, Xianghu 8 Martel, Yvan 8 Thomann, Laurent 8 Warma, Mahamadi 8 Yan, Wei 8 Yang, Qixiang 8 Yao, Xiaohua 8 You, Yuncheng 8 Zhai, Zhichun 8 Zhang, Xuping 7 Chadha, Alka 7 Chang, Xiangke 7 Comech, Andrew 7 Corli, Andrea 7 Czubak, Magdalena 7 Feng, Zhaosheng 7 Frigeri, Sergio 7 Jorge da Silva, Marcio Antonio 7 Kenig, Carlos Eduardo 7 Li, Nianhua 7 Li, Wan-Tong 7 Li, Y. Charles 7 Liu, Zhenhai 7 Malaguti, Luisa 7 O’Regan, Donal 7 Sprekels, Jürgen 7 Volpert, Vitaly A. 7 Zhao, Lifeng 6 Bao, Xiongxiong 6 Blömker, Dirk 6 Bora, Swaroop Nandan 6 Chan, Chi Hin 6 Chen, Pengyu 6 Deugoue, Gabriel 6 Giuliani, Filippo 6 Glogić, Irfan 6 Ibrahim, Ahmed Gamal 6 Keraani, Sahbi ...and 2,073 more Authors all top 5 Cited in 320 Journals 124 Journal of Differential Equations 88 Journal of Mathematical Analysis and Applications 78 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Journal of Mathematical Physics 49 Discrete and Continuous Dynamical Systems 43 Communications in Mathematical Physics 36 Journal of Functional Analysis 35 Communications on Pure and Applied Analysis 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 32 Nonlinear Analysis. Real World Applications 32 Discrete and Continuous Dynamical Systems. Series B 29 Advances in Difference Equations 28 ZAMP. 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A 5 Applied Mathematics and Optimization 5 Collectanea Mathematica 5 Journal of Optimization Theory and Applications 5 Stochastic Analysis and Applications 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 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 Séminaire Laurent Schwartz. EDP et Applications 4 Journal of Computational Physics 4 Mathematical Biosciences 4 Russian Mathematical Surveys 4 Journal of Geometry and Physics 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Memoirs of the American Mathematical Society 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 Differential Equations and Dynamical Systems 4 Mathematical Physics, Analysis and Geometry 4 Discrete Dynamics in Nature and Society ...and 220 more Journals all top 5 Cited in 50 Fields 1,617 Partial differential equations (35-XX) 331 Fluid mechanics (76-XX) 308 Dynamical systems and ergodic theory (37-XX) 239 Ordinary differential equations (34-XX) 182 Operator theory (47-XX) 103 Probability theory and stochastic processes (60-XX) 98 Biology and other natural sciences (92-XX) 85 Real functions (26-XX) 82 Systems theory; control (93-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 71 Quantum theory (81-XX) 61 Numerical analysis (65-XX) 59 Global analysis, analysis on manifolds (58-XX) 56 Integral equations (45-XX) 52 Functional analysis (46-XX) 42 Statistical mechanics, structure of matter (82-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 34 Mechanics of deformable solids (74-XX) 31 Optics, electromagnetic theory (78-XX) 29 Geophysics (86-XX) 24 Potential theory (31-XX) 24 Differential geometry (53-XX) 22 Mechanics of particles and systems (70-XX) 16 Difference and functional equations (39-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Statistics (62-XX) 9 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 9 Integral transforms, operational calculus (44-XX) 8 Measure and integration (28-XX) 7 Relativity and gravitational theory (83-XX) 6 Approximations and expansions (41-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 4 Abstract harmonic analysis (43-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-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 Number theory (11-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) Citations by Year