Edit Profile (opens in new tab) Lin, Zhiwu Compute Distance To: Compute Author ID: lin.zhiwu Published as: Lin, Zhiwu Homepage: http://people.math.gatech.edu/~zlin/ External Links: MGP Documents Indexed: 35 Publications since 2001, including 1 Book Co-Authors: 15 Co-Authors with 24 Joint Publications 698 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Zeng, Chongchun 3 Jin, Jiayin 3 Strauss, Walter Alexander 2 Guo, Yan 2 Hadzic, Mahir 2 Hur, Vera Mikyoung 2 Yang, Jincheng 1 Li, Y. Charles 1 Liao, Shasha 1 Liu, Yue 1 Rein, Gerhard 1 Wang, Zhiyu 1 Xu, Ming 1 Zhang, Pingwen 1 Zhu, Hao all top 5 Serials 7 Communications in Mathematical Physics 6 Communications on Pure and Applied Mathematics 5 Archive for Rational Mechanics and Analysis 2 Optimization 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Mathematical Analysis 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Studies in Applied Mathematics 1 Mathematical Research Letters 1 Advances in Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Kinetic and Related Models all top 5 Fields 26 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 358 times in 239 Documents Cited by ▼ Year ▼ Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045Lin, Zhiwu; Liu, Yue 75 2009 Inviscid dynamical structures near Couette flow. Zbl 1229.35197Lin, Zhiwu; Zeng, Chongchun 33 2011 Unstable surface waves in running water. Zbl 1170.35080Hur, Vera Mikyoung; Lin, Zhiwu 20 2008 Stability and instability of traveling solitonic bubbles. Zbl 1033.35117Lin, Zhiwu 19 2002 Instability of some ideal plane flows. Zbl 1126.76323Lin, Zhiwu 18 2003 Nonlinear instability of ideal plane flows. Zbl 1080.35085Lin, Zhiwu 18 2004 Instability of nonlinear dispersive solitary waves. Zbl 1157.35096Lin, Zhiwu 17 2008 Small BGK waves and nonlinear Landau damping. Zbl 1229.35299Lin, Zhiwu; Zeng, Chongchun 16 2011 Linear stability and instability of relativistic Vlasov-Maxwell systems. Zbl 1127.35067Lin, Zhiwu; Strauss, Walter 13 2007 Instability of periodic BGK waves. Zbl 0993.35084Lin, Zhiwu 13 2001 Some stability and instability criteria for ideal plane flows. Zbl 1061.76016Lin, Zhiwu 13 2004 Some recent results on instability of ideal plane flows. Zbl 1080.35086Lin, Zhiwu 10 2005 Nonlinear stability and instability of relativistic Vlasov-Maxwell systems. Zbl 1127.35068Lin, Zhiwu; Strauss, Walter A. 10 2007 A sharp stability criterion for the Vlasov-Maxwell system. Zbl 1155.35099Lin, Zhiwu; Strauss, Walter A. 10 2008 A resolution of the Sommerfeld paradox. Zbl 1383.76140Li, Y. Charles; Lin, Zhiwu 9 2011 Metastability of Kolmogorov flows and inviscid damping of shear flows. Zbl 1426.76155Lin, Zhiwu; Xu, Ming 8 2019 Linear inviscid damping for Couette flow in stratified fluid. Zbl 1460.76298Yang, Jincheng; Lin, Zhiwu 7 2018 Unstable manifolds of Euler equations. Zbl 1360.35160Lin, Zhiwu; Zeng, Chongchun 7 2013 Nonlinear instability of periodic BGK waves for Vlasov-Poisson system. Zbl 1067.35012Lin, Zhiwu 7 2005 Convergence for vector optimization problems with variable ordering structure. Zbl 1345.49033Li, X. B.; Lin, Z.; Peng, Z. Y. 6 2016 Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space. Zbl 1406.35360Jin, Jiayin; Lin, Zhiwu; Zeng, Chongchun 5 2018 Stability results for properly quasi convex vector optimization problems. Zbl 1312.49025Li, X. B.; Wang, Q. L.; Lin, Z. 5 2015 On linear instability of 2D solitary water waves. Zbl 1161.76019Lin, Zhiwu 4 2009 Stability of traveling waves of nonlinear Schrödinger equation with nonzero condition at infinity. Zbl 1457.35070Lin, Zhiwu; Wang, Zhengping; Zeng, Chongchun 3 2016 Nonlinear modulational instability of dispersive PDE models. Zbl 1410.37067Jin, Jiayin; Liao, Shasha; Lin, Zhiwu 2 2019 Instability, index theorem, and exponential trichotomy for linear Hamiltonian PDEs. Zbl 07455851Lin, Zhiwu; Zeng, Chongchun 2 2022 Dynamics near the solitary waves of the supercritical gKDV equations. Zbl 1423.35066Jin, Jiayin; Lin, Zhiwu; Zeng, Chongchun 2 2019 The existence of stable BGK waves. Zbl 1373.82089Guo, Yan; Lin, Zhiwu 2 2017 Small BGK waves and nonlinear Landau damping (higher dimensions). Zbl 1288.35477Lin, Zhiwu; Zeng, Chongchun 1 2012 Unstable galaxy models. Zbl 1286.85004Wang, Zhiyu; Guo, Yan; Lin, Zhiwu; Zhang, Pingwen 1 2013 Barotropic instability of shear flows. Zbl 1445.76044Lin, Zhiwu; Yang, Jincheng; Zhu, Hao 1 2020 Stability and instability of self-gravitating relativistic matter distributions. Zbl 1468.83023Hadžić, Mahir; Lin, Zhiwu; Rein, Gerhard 1 2021 Instability, index theorem, and exponential trichotomy for linear Hamiltonian PDEs. Zbl 07455851Lin, Zhiwu; Zeng, Chongchun 2 2022 Stability and instability of self-gravitating relativistic matter distributions. Zbl 1468.83023Hadžić, Mahir; Lin, Zhiwu; Rein, Gerhard 1 2021 Barotropic instability of shear flows. Zbl 1445.76044Lin, Zhiwu; Yang, Jincheng; Zhu, Hao 1 2020 Metastability of Kolmogorov flows and inviscid damping of shear flows. Zbl 1426.76155Lin, Zhiwu; Xu, Ming 8 2019 Nonlinear modulational instability of dispersive PDE models. Zbl 1410.37067Jin, Jiayin; Liao, Shasha; Lin, Zhiwu 2 2019 Dynamics near the solitary waves of the supercritical gKDV equations. Zbl 1423.35066Jin, Jiayin; Lin, Zhiwu; Zeng, Chongchun 2 2019 Linear inviscid damping for Couette flow in stratified fluid. Zbl 1460.76298Yang, Jincheng; Lin, Zhiwu 7 2018 Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space. Zbl 1406.35360Jin, Jiayin; Lin, Zhiwu; Zeng, Chongchun 5 2018 The existence of stable BGK waves. Zbl 1373.82089Guo, Yan; Lin, Zhiwu 2 2017 Convergence for vector optimization problems with variable ordering structure. Zbl 1345.49033Li, X. B.; Lin, Z.; Peng, Z. Y. 6 2016 Stability of traveling waves of nonlinear Schrödinger equation with nonzero condition at infinity. Zbl 1457.35070Lin, Zhiwu; Wang, Zhengping; Zeng, Chongchun 3 2016 Stability results for properly quasi convex vector optimization problems. Zbl 1312.49025Li, X. B.; Wang, Q. L.; Lin, Z. 5 2015 Unstable manifolds of Euler equations. Zbl 1360.35160Lin, Zhiwu; Zeng, Chongchun 7 2013 Unstable galaxy models. Zbl 1286.85004Wang, Zhiyu; Guo, Yan; Lin, Zhiwu; Zhang, Pingwen 1 2013 Small BGK waves and nonlinear Landau damping (higher dimensions). Zbl 1288.35477Lin, Zhiwu; Zeng, Chongchun 1 2012 Inviscid dynamical structures near Couette flow. Zbl 1229.35197Lin, Zhiwu; Zeng, Chongchun 33 2011 Small BGK waves and nonlinear Landau damping. Zbl 1229.35299Lin, Zhiwu; Zeng, Chongchun 16 2011 A resolution of the Sommerfeld paradox. Zbl 1383.76140Li, Y. Charles; Lin, Zhiwu 9 2011 Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045Lin, Zhiwu; Liu, Yue 75 2009 On linear instability of 2D solitary water waves. Zbl 1161.76019Lin, Zhiwu 4 2009 Unstable surface waves in running water. Zbl 1170.35080Hur, Vera Mikyoung; Lin, Zhiwu 20 2008 Instability of nonlinear dispersive solitary waves. Zbl 1157.35096Lin, Zhiwu 17 2008 A sharp stability criterion for the Vlasov-Maxwell system. Zbl 1155.35099Lin, Zhiwu; Strauss, Walter A. 10 2008 Linear stability and instability of relativistic Vlasov-Maxwell systems. Zbl 1127.35067Lin, Zhiwu; Strauss, Walter 13 2007 Nonlinear stability and instability of relativistic Vlasov-Maxwell systems. Zbl 1127.35068Lin, Zhiwu; Strauss, Walter A. 10 2007 Some recent results on instability of ideal plane flows. Zbl 1080.35086Lin, Zhiwu 10 2005 Nonlinear instability of periodic BGK waves for Vlasov-Poisson system. Zbl 1067.35012Lin, Zhiwu 7 2005 Nonlinear instability of ideal plane flows. Zbl 1080.35085Lin, Zhiwu 18 2004 Some stability and instability criteria for ideal plane flows. Zbl 1061.76016Lin, Zhiwu 13 2004 Instability of some ideal plane flows. Zbl 1126.76323Lin, Zhiwu 18 2003 Stability and instability of traveling solitonic bubbles. Zbl 1033.35117Lin, Zhiwu 19 2002 Instability of periodic BGK waves. Zbl 0993.35084Lin, Zhiwu 13 2001 all cited Publications top 5 cited Publications all top 5 Cited by 299 Authors 19 Lin, Zhiwu 10 Hur, Vera Mikyoung 9 Bedrossian, Jacob 9 Lai, Shaoyong 9 Zeng, Chongchun 8 Liu, Yue 8 Zillinger, Christian 7 Masmoudi, Nader 7 Zhang, Zhifei 6 Liu, Xiaochuan 6 Qu, Changzheng 6 Wei, Dongyi 5 Strauss, Walter Alexander 4 Chang, Xiangke 4 Gao, Hongjun 4 Johnson, Mathew A. 4 Nguyen, Toan Trong 4 Rousset, Frédéric 4 Shvydkoy, Roman V. 4 Vicol, Vlad C. 4 Yan, Haibo 4 Yong, Ls 4 Zhao, Weiren 3 Coti Zelati, Michele 3 Friedlander, Susan Jean 3 Fu, Yanggeng 3 Guo, Yan 3 Guo, Yunxi 3 Hadzic, Mahir 3 Han-Kwan, Daniel 3 Jin, Jiayin 3 Kozlov, Vladimir A. 3 Kuznetsov, Nikolai Germanovich 3 Lemou, Mohammed 3 Li, Y. Charles 3 Liu, Xingxing 3 Mariş, Mihai 3 Méhats, Florian 3 Natali, Fábio M. Amorin 3 Walsh, Samuel 3 Wu, Jiahong 2 Angulo Pava, Jaime 2 Ben-Artzi, Jonathan 2 Bronski, Jared C. 2 Chen, Aiyong 2 Chen, Robin Ming 2 Chen, Shaozhu 2 Chen, Yong 2 Cheverry, Christophe 2 Chiron, David 2 Cox, Graham 2 Dong, Fengfeng 2 Duan, Yong 2 Esfahani, Amin 2 Faou, Erwan 2 Fontaine, Adrien 2 Germain, Pierre 2 Gravejat, Philippe 2 Grenier, Emmanuel 2 Guo, Boling 2 Guo, Fei 2 Hu, Xingbiao 2 Ivanov, Rossen I. 2 Kabakouala, André 2 Khorbatly, Bashar 2 Li, Nan 2 Li, Shihao 2 Liu, Zhengrong 2 Marangell, Robert 2 Molinet, Luc 2 Mouhot, Clément 2 Palacios, José Manuel 2 Pavlović, Nataša 2 Pelinovsky, Dmitry Efimovich 2 Qi, Jiangang 2 Qiao, Zhijun 2 Raphael, Pierre 2 Rein, Gerhard 2 Ren, Siqi 2 Renardy, Michael 2 Smets, Didier 2 Szmigielski, Jacek 2 Toland, John Francis 2 Wang, Zhong 2 Wheeler, Miles H. 2 Wu, Yonghong 2 Xie, Bing 2 Zhou, Lingjun 2 Zhu, Min 2 Zhu, Shihui 1 Aivaliotis, Alexios 1 Almog, Yaniv 1 Amaral, Sabrina 1 An, Hongli 1 Antonelli, Paolo 1 Bai, Yuchuan 1 Balmforth, Neil J. 1 Banica, Valeria 1 Barré, Julien 1 Beck, Margaret ...and 199 more Authors all top 5 Cited in 75 Serials 25 Communications in Mathematical Physics 20 Archive for Rational Mechanics and Analysis 19 Journal of Differential Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 SIAM Journal on Mathematical Analysis 9 Discrete and Continuous Dynamical Systems 8 Journal of Nonlinear Science 7 Journal of Mathematical Fluid Mechanics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Nonlinear Analysis. Real World Applications 5 Annals of PDE 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Physics 4 Nonlinearity 4 Advances in Mathematics 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 3 Quarterly of Applied Mathematics 3 Studies in Applied Mathematics 3 Physica D 3 Communications in Partial Differential Equations 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 Journal of Nonlinear Mathematical Physics 3 Boundary Value Problems 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Advances in Mathematical Physics 2 Science China. Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Wave Motion 1 Annales de l’Institut Fourier 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Meccanica 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica. English Series 1 International Journal of Mathematics 1 Stochastic Processes and their Applications 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Advances in Difference Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Kinetic and Related Models 1 Analysis and Mathematical Physics 1 Cogent Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 27 Fields 220 Partial differential equations (35-XX) 108 Fluid mechanics (76-XX) 40 Dynamical systems and ergodic theory (37-XX) 18 Statistical mechanics, structure of matter (82-XX) 8 Geophysics (86-XX) 7 Astronomy and astrophysics (85-XX) 6 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 4 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year