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: 290 Publications (since 2004) all top 5 Latest Issues 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, 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 Li, Dong 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 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 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 1 Caliari, Marco 1 Cao, Daomin ...and 321 more Authors all top 5 Fields 267 Partial differential equations (35-XX) 72 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 Probability theory and stochastic processes (60-XX) 8 Harmonic analysis on Euclidean spaces (42-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 228 Publications have been cited 1,920 times in 1,768 Documents Cited by ▼ Year ▼ On the new concept of solutions and existence results for impulsive fractional evolution equations. Zbl 1264.34014Wang, JinRong; Fečkan, Michal; Zhou, Yong 122 2011 Explicit multipeakon solutions of Novikov’s cubically nonlinear integrable Camassa-Holm type equation. Zbl 1179.37092Hone, Andrew N. W.; Lundmark, Hans; Szmigielski, Jacek 117 2009 Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case. Zbl 1155.35096Pausader, Benoit 91 2007 Blow up and regularity for fractal Burgers equation. Zbl 1186.35020Kiselev, Alexander; Nazarov, Fedor; Shterenberg, Roman 76 2008 Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166Nolen, James; Rudd, Matthew; Xin, Jack 56 2005 The generalized incompressible Navier-Stokes equations in Besov spaces. Zbl 1075.35043Wu, Jiahong 45 2004 Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008Xiao, Jie 42 2007 Wave breaking in the short-pulse equation. Zbl 1190.35061Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 37 2009 Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials. Zbl 1280.35089Frigeri, Sergio; Grasselli, Maurizio 33 2012 On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144Tao, Terence 32 2004 Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044Donninger, Roland; Schörkhuber, Birgit 32 2012 Integrable nonlinear Schrödinger systems and their soliton dynamics. Zbl 1153.35389Ablowitz, M. J.; Prinari, B.; Trubatch, A. D. 30 2004 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 30 2006 Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117Wang, Jinrong; Fĕckan, Michal; Zhou, Yong 29 2014 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102Erdoğan, M. Burak; Schlag, Wilhelm 28 2004 Global dynamics of the Brusselator equations. Zbl 1158.37028You, Yuncheng 28 2007 Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319Li, Dong; Xu, Xiaojing 27 2013 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 24 2006 Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions. Zbl 1145.35089Tao, Terence 21 2006 A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations. Zbl 1142.35088Tao, Terence 21 2007 Spectral expansions of one-dimensional periodic Dirac operators. Zbl 1092.34048Mityagin, Boris 18 2004 Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136Caraballo, T.; Márquez-Durán, A. M. 18 2013 A symplectic non-squeezing theorem for BBM equation. Zbl 1216.35124Roumégoux, David 17 2010 Regularity and blow up in a surface growth model. Zbl 1179.35083Blömker, Dirk; Romito, Marco 17 2009 Invariant measure for the cubic wave equation on the unit ball of \(\mathbb{R}^3\). Zbl 1237.35118de Suzzoni, Anne-Sophie 16 2011 Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1194.35436Zhu, Shihui; Zhang, Jian; Yang, Han 16 2010 Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E. 16 2009 On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian. Zbl 06695569Gal, Ciprian G.; Warma, Mahamadi 16 2017 Exact solutions of diffusion-convection equations. Zbl 1151.35005Ivanova, Nataliya M. 15 2008 Stability of \(N\) solitary waves for the generalized BBM equations. Zbl 1080.35116El Dika, Khaled; Martel, Yvan 14 2004 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 Velocity averaging – a general framework. Zbl 1267.35111Lazar, Martin; Mitrović, Darko 14 2012 Spectral gaps of Schrödinger operators with periodic singular potentials. Zbl 1238.34151Djakov, Plamen; Mityagin, Boris 14 2009 Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064Yin, Jinyan; Gu, Anhui; Li, Yangrong 13 2017 Denoising deterministic time series. Zbl 1137.37334Lalley, Steven P.; Nobel, A. B. 13 2006 Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\). Zbl 1355.35193Li, Ya-Ning; Sun, Hong-Rui; Feng, Zhaosheng 13 2016 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 12 2017 Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303Xiao, Jie 12 2014 Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\). Zbl 1256.35144Zhang, Jian; Zhu, Shihui 11 2011 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Zbl 1307.35189Chan, Chi Hin; Czubak, Magdalena 11 2013 Well-posedness and long time behavior of the non-isothermal viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1162.35043Gal, Ciprian 11 2008 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 11 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 10 2017 Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Zbl 1158.35322Caliari, Marco; Squassina, Marco 10 2008 Timoshenko systems with fading memory. Zbl 1294.47098Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino 10 2013 Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1304.35112Bosia, Stefano; Gatti, Stefania 10 2014 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. 9 2018 Nonlinear stability of rotating patterns. Zbl 1173.35018Beyn, Wolf-Jürgen; Lorenz, Jens 9 2008 Investigation of the long time dynamics of a diffusive three species aquatic model. Zbl 1227.35082Parshad, Rana D.; Upadhyay, Ranjit K. 9 2010 Semi-wavefront solutions in models of collective movements with density-dependent diffusivity. Zbl 1365.35082Corli, Andrea; Malaguti, Luisa 9 2016 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 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 9 2015 Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds. Zbl 1137.35010Banica, Valeria; Duyckaerts, Thomas 9 2007 Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482Zhao, Wenqiang; Li, Yangrong 8 2014 Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236Caraballo, Tomás; Han, Xiaoying 8 2014 Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096Feola, R.; Giuliani, F.; Procesi, M. 8 2019 A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential. Zbl 1156.35095Tao, Terence 8 2008 An exact solution for geophysical trapped waves in the presence of an underlying current. Zbl 1396.37091Fan, Lili; Gao, Hongjun; Xiao, Qingkun 7 2018 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 Weighted energy decay for 1D Dirac equation. Zbl 1231.35188Kopylova, E. A. 7 2011 Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise. Zbl 1203.60088Marinelli, Carlo; Ziglio, Giacomo 7 2010 Stability of parabolic-hyperbolic traveling waves. Zbl 1260.35009Rottmann-Matthes, Jens 7 2012 Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space. Zbl 1316.35259Banica, Valeria; Duyckaerts, Thomas 7 2015 On the regularity of the solution map of the incompressible Euler equation. Zbl 1326.35254Inci, H. 7 2015 On the global well-posedness for Euler equations with unbounded vorticity. Zbl 1327.76021Bernicot, Frédéric; Hmidi, Taoufik 7 2015 On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\). Zbl 1439.35444Noguera, Norman; Pastor, Ademir 7 2020 Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036Jiu, Quansen; Liu, Jitao 6 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 6 2019 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 On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng 6 2018 Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. Zbl 1105.35083Li, Y. Charles 6 2005 On a semi-linear wave equation associated with memory conditions at the boundaries: Stability and asymptotic expansion. Zbl 1155.35395Lê, Út V. 6 2008 Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211Ambrosio, Vincenzo 6 2019 On the solvability in the sense of sequences for some non-Fredholm operators. Zbl 1317.35163Vougalter, Vitali; Volpert, Vitaly 6 2014 Entire solutions of the Fisher-KPP equation in time periodic media. Zbl 1282.35023Sheng, Wei-Jie; Cao, Mei-Ling 6 2012 Invariant tori of nonlinear Schrödinger equations with a given potential. Zbl 1144.37032Du, Lijun; Yuan, Xiaoping 6 2006 On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151Oh, Tadahiro; Richards, Geordie; Thomann, Laurent 6 2016 Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039Yamazaki, Kazuo 5 2018 On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052Dinh, Van Duong 5 2017 Dynamics on resonant clusters for the quintic nonlinear Schrödinger equation. Zbl 1346.35187Haus, Emanuele; Thomann, Laurent 5 2013 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 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 On a semi-linear wave equation associated with memory conditions at the boundaries: Unique, existence and regularity. Zbl 1155.35394Lê, Út V. 5 2008 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 The low regularity global solutions for the critical generalized KdV equation. Zbl 1234.35228Miao, Changxing; Shao, Shuanglin; Wu, Yifei; Xu, Guixiang 5 2010 Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations. Zbl 1226.35090Sun, Chengfeng; Gao, Hongjun 5 2010 Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. Zbl 1339.35055You, Bo; Li, Fang 5 2016 On stability of the catenoid under vanishing mean curvature flow on Minkowski space. Zbl 1276.53070Krieger, Joachim; Lindblad, Hans 5 2012 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270Carles, Rémi 5 2009 Spatial decay of rotating waves in reaction diffusion systems. Zbl 1348.35106Beyn, Wolf-Jürgen; Otten, Denny 5 2016 On the strong solutions for a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes model. Zbl 1435.35118Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim 5 2020 Degenerate non-Newtonian fluid equation on the half space. Zbl 1388.35093Zhan, Huashui; Feng, Zhaosheng 4 2018 Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Zbl 1451.93022Duca, Alessandro 4 2020 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129Alfaro, Matthieu; Carles, Rémi 4 2017 A remark on attractor bifurcation. Zbl 1465.35045Li, Chunqiu; Li, Desheng; Wang, Jintao 3 2021 Lions-type theorem of the fractional Laplacian and applications. Zbl 1476.35307Feng, Zhaosheng; Su, Yu 1 2021 Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations. Zbl 1462.35344Alouini, Brahim 1 2021 Existence and symmetry of solutions to 2-D Schrödinger-Newton equations. Zbl 1466.35211Cao, Daomin; Dai, Wei; Zhang, Yang 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 5 2020 Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Zbl 1451.93022Duca, Alessandro 4 2020 Liouville type theorems for 3D stationary Navier-Stokes equations in weighted mixed-norm Lebesgue spaces. Zbl 1445.35098Phan, Tuoc 2 2020 Almost sure existence of global weak solutions to the Boussinesq equations. Zbl 1434.35067Wang, Weinan; Yue, Haitian 2 2020 A remark on norm inflation for nonlinear wave equations. Zbl 1455.35009Forlano, Justin; Okamoto, Mamoru 1 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 On coupled systems of PDEs with unbounded coefficients. Zbl 1447.35180Angiuli, Luciana; Lorenzi, Luca 1 2020 Reducibility for a class of weakly dispersive linear operators arising from the Degasperis-Procesi equation. Zbl 1404.35096Feola, R.; Giuliani, F.; Procesi, M. 8 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 6 2019 Concentration phenomena for a fractional Choquard equation with magnetic field. Zbl 1409.35211Ambrosio, Vincenzo 6 2019 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 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 Gradient estimates for Stokes systems in domains. Zbl 1404.35162Choi, Jongkeun; Dong, Hongjie 3 2019 Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups. Zbl 1404.35126Cacciafesta, F.; Fanelli, L. 3 2019 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047Komech, Alexander; Kopylova, Elena 3 2019 Asymptotic autonomy of kernel sections for Newton-Boussinesq equations on unbounded zonary domains. Zbl 1421.35037Wang, Renhai; Li, Yangrong 2 2019 Long time behavior of the NLS-Szegő equation. Zbl 1428.37076Sun, Ruoci 2 2019 Stability of hyperbolic-parabolic mixed type equations. Zbl 1421.35230Zhan, Huashui; Feng, Zhaosheng 1 2019 Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain. Zbl 1421.35020Inci, Hasan; Li, Y. Charles 1 2019 Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251Henry, D.; Martin, C. I. 9 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 Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations. Zbl 1390.35036Jiu, Quansen; Liu, Jitao 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 Global regularity of logarithmically supercritical MHD system with improved logarithmic powers. Zbl 1390.35039Yamazaki, Kazuo 5 2018 Degenerate non-Newtonian fluid equation on the half space. Zbl 1388.35093Zhan, Huashui; Feng, Zhaosheng 4 2018 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 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 Optimal rate of convergence in stratified Boussinesq system. Zbl 1404.35366Meddour, H.; Zerguine, M. 2 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 2 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 16 2017 Backwards compact attractors for non-autonomous damped 3D Navier-Stokes equations. Zbl 1387.35064Yin, Jinyan; Gu, Anhui; Li, Yangrong 13 2017 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 12 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 10 2017 On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052Dinh, Van Duong 5 2017 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129Alfaro, Matthieu; Carles, Rémi 4 2017 Logarithmic stability in determining a boundary coefficient in an IBVP for the wave equation. Zbl 06695568Ammari, Kaïs; Choulli, Mourad 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. Zbl 06823426Isozaki, Hiroshi; Korotyaev, Evgeny L. 3 2017 Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145Hmidi, Taoufik; Li, Dong 3 2017 Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay. Zbl 1382.35229Liu, Linfang; Caraballo, Tomás; Fu, Xianlong 2 2017 Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains. Zbl 1383.35043Martinez, Vincent R.; Zhao, Kun 1 2017 Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane. Zbl 1382.58016Chan, Chi Hin; Chen, Che-Kai; Czubak, Magdalena 1 2017 Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates. Zbl 1361.35163Cheskidov, Alexey; Marahrens, Daniel; Sparber, Christof 1 2017 Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\). Zbl 1355.35193Li, Ya-Ning; Sun, Hong-Rui; Feng, Zhaosheng 13 2016 Semi-wavefront solutions in models of collective movements with density-dependent diffusivity. Zbl 1365.35082Corli, Andrea; Malaguti, Luisa 9 2016 On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151Oh, Tadahiro; Richards, Geordie; Thomann, Laurent 6 2016 Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. Zbl 1339.35055You, Bo; Li, Fang 5 2016 Spatial decay of rotating waves in reaction diffusion systems. Zbl 1348.35106Beyn, Wolf-Jürgen; Otten, Denny 5 2016 Infinite energy solutions for a 1D transport equation with nonlocal velocity. Zbl 1350.35062Lazar, Omar; Lemarié-Rieusset, Pierre-Gilles 4 2016 Stability of solutions to nonlinear wave equations with switching time delay. Zbl 1350.35135Fragnelli, G.; Pignotti, C. 3 2016 Faedo-Galerkin approximations to fractional integro-differential equation of order \(\alpha\in(1,2]\) with deviated argument. Zbl 1360.34164Muslim, M. 3 2016 Remarks on ill-posedness for the Dirac-Klein-Gordon system. Zbl 1347.35210Shuji, Machihara; Okamoto, Mamoru 3 2016 Solutions of the Camassa-Holm equation with accumulating breaking times. Zbl 1365.35136Grunert, Katrin 3 2016 Synchronization in coupled second order in time infinite-dimensional models. Zbl 1351.37260Chueshov, Igor 2 2016 Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension. Zbl 1345.35098Da Rocha, Victor V. 1 2016 Periodic solutions for a class of one-dimensional Boussinesq systems. Zbl 1347.35206Quintero, José R.; Montes, Alex M. 1 2016 On the hyperbolicity properties of inertial manifolds of reaction-diffusion equations. Zbl 1439.35273Romanov, A. V. 1 2016 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 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 9 2015 Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space. Zbl 1316.35259Banica, Valeria; Duyckaerts, Thomas 7 2015 On the regularity of the solution map of the incompressible Euler equation. Zbl 1326.35254Inci, H. 7 2015 On the global well-posedness for Euler equations with unbounded vorticity. Zbl 1327.76021Bernicot, Frédéric; Hmidi, Taoufik 7 2015 On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051Berselli, Luigi C.; Catania, Davide 4 2015 Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264Liu, Y.; Wang, Y.; Xiao, J. 4 2015 Sobolev spaces on time scales and applications to semilinear Dirichlet problems. Zbl 1362.46041Su, You-Hui; Yao, Jinghua; Feng, Zhaosheng 2 2015 On a non-homogeneous and non-linear heat equation. Zbl 1364.35111Bisconti, Luca; Franca, Matteo 2 2015 On the locally self-similar singular solutions for the incompressible Euler equations. Zbl 1398.35158Xue, Liutang 2 2015 On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361Komech, A. I. 1 2015 Trace formulas for fourth order operators on unit interval. II. Zbl 1326.47046Badanin, Andrey; Korotyaev, Evgeny 1 2015 Random attractor for stochastic wave equation with arbitrary exponent and additive noise on \(\mathbb{R}^n\). Zbl 1343.35248Li, Hongyan; You, Yuncheng 1 2015 Controllability of Sobolev type fractional evolution systems. Zbl 1314.47117Wang, Jinrong; Fĕckan, Michal; Zhou, Yong 29 2014 Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303Xiao, Jie 12 2014 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1304.35112Bosia, Stefano; Gatti, Stefania 10 2014 Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises. Zbl 1302.35482Zhao, Wenqiang; Li, Yangrong 8 2014 Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236Caraballo, Tomás; Han, Xiaoying 8 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 On the solvability in the sense of sequences for some non-Fredholm operators. 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Zbl 1308.35031Kim, In-Sook; Väth, Martin 1 2014 Dynamics of stochastic modified Boussinesq approximation equation driven by fractional Brownian motion. Zbl 1294.35201Huang, Jianhua; Li, Jin; Shen, Tianlong 1 2014 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. 18 2013 Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Zbl 1307.35189Chan, Chi Hin; Czubak, Magdalena 11 2013 Timoshenko systems with fading memory. Zbl 1294.47098Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino 10 2013 Dynamics on resonant clusters for the quintic nonlinear Schrödinger equation. Zbl 1346.35187Haus, Emanuele; Thomann, Laurent 5 2013 ...and 128 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,969 Authors 30 Wang, Jinrong 25 Shen, Wenxian 16 Donninger, Roland 16 Li, Yangrong 15 Himonas, A. Alexandrou 14 Vougalter, Vitali 14 Zhang, Bingyu 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 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 Zhang, Junyong 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 1,869 more Authors all top 5 Cited in 301 Journals 121 Journal of Differential Equations 82 Journal of Mathematical Analysis and Applications 71 Nonlinear Analysis. Theory, Methods & Applications. 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EDP et Applications 3 International Journal of Control ...and 201 more Journals all top 5 Cited in 49 Fields 1,453 Partial differential equations (35-XX) 298 Fluid mechanics (76-XX) 281 Dynamical systems and ergodic theory (37-XX) 222 Ordinary differential equations (34-XX) 170 Operator theory (47-XX) 88 Probability theory and stochastic processes (60-XX) 85 Biology and other natural sciences (92-XX) 73 Systems theory; control (93-XX) 69 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) Citations by Year