Edit Profile (opens in new tab) Weinstein, Michael I. Co-Author Distance Author ID: weinstein.michael-i Published as: Weinstein, Michael I.; Weinstein, M. I.; Weinstein, M. more...less Homepage: http://www.columbia.edu/~miw2103/ External Links: MGP · dblp Documents Indexed: 127 Publications since 1983, including 2 Books and 10 Additional arXiv Preprints 1 Further Contribution Co-Authors: 76 Co-Authors with 107 Joint Publications 2,747 Co-Co-Authors all top 5 Co-Authors 16 single-authored 13 Fefferman, Charles Louis 9 Soffer, Avraham 7 Lee-Thorp, James P. 7 Pego, Robert Leo 6 Goodman, Roy H. 5 Duchêne, Vincent 5 Kevrekidis, Panayotis G. 5 Kohn, Robert Vita 5 Marzuola, Jeremy Louis 5 Simpson, Gideon 4 Kirr, E. W. 4 Osting, Braxton 4 Sagiv, Amir 4 Vukićević, Iva 3 Holmes, Philip J. 3 Kraisler, Joseph 3 Li, Huaiyu 3 Lu, Jianfeng 3 Vogelius, Michael S. 3 Watson, Alexander B. 2 Bloch, Anthony Michael 2 Drouot, Alexis 2 Gang, Zhou 2 Golowich, Steven E. 2 Hagerty, Patrick 2 Hiltunen, Erik Orvehed 2 Hofstrand, Andrew 2 Jenkinson, Michael J. 2 Keller, Joseph Bishop 2 Keller, Rachael T. 2 Lai, Chen-Chih 2 Malomed, Boris A. 2 Onofrei, Daniel 2 Schotland, John C. 2 Smereka, Peter 1 Berebichez, D. 1 Bray, Henry Gilbert 1 Cassier, Maxence 1 Chang, Sun-Yung Alice 1 Chen, Zhigang 1 Christ, F. M. 1 Colin, Thierry 1 Córdoba Barba, Antonio Juan 1 Cordoba, Diego 1 Costin, Ovidiu 1 Deskins, W. E. 1 Dobson, David C. 1 Du, Qiang 1 Epstein, Charles Lawrence 1 Fibich, Gadi 1 Fliss, Sonia 1 Frantzeskakis, Dimitri J. 1 Fröhlich, Jürg Martin 1 Graham, C. Robin 1 Hameedi, Sameh N. 1 Heider, Pascal 1 Hoefer, Mark A. 1 Humphreys, John F. 1 Ilan, Boaz 1 Jackson, Russell K. 1 Johnson, David Lawrence 1 Klartag, Bo’az 1 Kohn, Joseph J. 1 McLaughlin, David W. 1 Miller, Judith R. 1 Nirenberg, Louis 1 Papanicolaou, George C. 1 Pelinovsky, Dmitry Efimovich 1 Puttaswamaiah, B. M. 1 Rapti, Zoi 1 Rojo, Alberto G. 1 Rose, Harvey A. 1 Rosenau, Philip S. 1 Santosa, Fadil N. 1 Schochet, Steven H. 1 Schweizer, Ben 1 Seco, Luis Angel 1 Shapiro, Ann-Marie 1 Shipman, Stephen P. 1 Shlizerman, Eli 1 Sivan, Yonatan 1 Slusher, R. E. 1 Spiegelman, Marc 1 Stein, Elias Menachem 1 Tanveer, Saleh 1 Tao, Terence 1 Venzke, Paul 1 Walls, Gary Lee 1 Wayne, Clarence Eugene 1 Weinstein, Michael 1 Wong, Chee Wei 1 Xu, Xinan 1 Yang, Jinghui 1 Zharnitsky, Vadim 1 Zhu, Yi all top 5 Serials 13 Communications in Mathematical Physics 12 SIAM Journal on Mathematical Analysis 9 Multiscale Modeling & Simulation 8 Communications on Pure and Applied Mathematics 7 Physica D 5 Nonlinearity 5 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Physics Letters. A 2 Archive for Rational Mechanics and Analysis 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 1 Inverse Problems 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Studies in Applied Mathematics 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Philosophical Transactions of the Royal Society of London. Series A 1 Discrete and Continuous Dynamical Systems. Series B 1 AMRX. Applied Mathematics Research eXpress 1 SIAM Journal on Applied Dynamical Systems 1 Structural and Multidisciplinary Optimization 1 Communications in Mathematical Sciences 1 Analysis & PDE 1 Annals of PDE 1 Frontiers in Applied Dynamical Systems: Reviews and Tutorials all top 5 Fields 102 Partial differential equations (35-XX) 27 Optics, electromagnetic theory (78-XX) 27 Quantum theory (81-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Ordinary differential equations (34-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 4,248 times in 2,587 Documents Cited by ▼ Year ▼ Nonlinear Schrödinger equations and sharp interpolation estimates. Zbl 0527.35023 Weinstein, Michael I. 684 1983 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005 Weinstein, Michael I. 363 1986 Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028 Weinstein, Michael I. 340 1985 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067 Christ, F. M.; Weinstein, M. I. 221 1991 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065 Pego, Robert L.; Weinstein, Michael I. 175 1992 Asymptotic stability of solitary waves. Zbl 0805.35117 Pego, Robert L.; Weinstein, Michael I. 151 1994 Between nilpotent and solvable. Zbl 0488.20001 141 1982 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107 Soffer, A.; Weinstein, M. I. 137 1999 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082 Soffer, A.; Weinstein, M. I. 124 1990 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214 Fefferman, Charles L.; Weinstein, Michael I. 106 2012 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073 Soffer, A.; Weinstein, M. I. 101 1992 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040 Weinstein, Michael I. 97 1987 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022 Weinstein, Michael I. 91 1986 The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054 Schochet, Steven H.; Weinstein, Michael I. 81 1986 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147 Weinstein, M. I. 79 1999 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195 Fefferman, Charles L.; Weinstein, Michael I. 71 2014 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313 Soffer, A.; Weinstein, M. I. 65 2004 Strong NLS soliton-defect interactions. Zbl 1061.35132 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 64 2004 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406 Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 64 2008 On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202 Rose, Harvey A.; Weinstein, Michael I. 60 1988 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 58 2010 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031 Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 51 1993 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002 Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 47 2014 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061 Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 46 2018 A stable manifold theorem for the curve shortening equation. Zbl 0602.34026 Epstein, C. L.; Weinstein, M. I. 39 1987 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479 Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 39 2008 Time dependent resonance theory. Zbl 0917.35023 Soffer, A.; Weinstein, M. I. 37 1998 Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102 Miller, Judith R.; Weinstein, Michael I. 35 1996 Edge states in honeycomb structures. Zbl 1404.35128 Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 34 2016 Topologically protected states in one-dimensional systems. Zbl 1379.35076 Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 33 2017 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011 Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 32 2001 Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene. Zbl 1410.78024 Lee-Thorp, J. P.; Weinstein, M. I.; Zhu, Y. 31 2019 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 28 2002 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033 Weinstein, Michael I.; Keller, Joseph B. 26 1987 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015 Jackson, R. K.; Weinstein, M. I. 26 2004 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502 Malomed, Boris; Weinstein, Michael I. 25 1996 Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015 Weinstein, Michael I. 25 1987 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124 Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 23 2014 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079 Pego, Robert L.; Weinstein, Michael I. 21 1997 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032 Hoefer, M. A.; Weinstein, M. I. 21 2011 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136 Gang, Zhou; Weinstein, Michael I. 20 2008 Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013 Simpson, G.; Spiegelman, M.; Weinstein, M. I. 20 2007 Defect modes for dislocated periodic media. Zbl 1508.81831 Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 19 2020 Edge states and the valley Hall effect. Zbl 1442.82003 Drouot, A.; Weinstein, M. I. 18 2020 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288 Marzuola, Jeremy L.; Weinstein, Michael I. 18 2010 Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310 Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. 16 2005 Hill’s equation with a large potential. Zbl 0578.34038 Weinstein, Michael I.; Keller, Joseph B. 14 1985 Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130 Fibich, G.; Sivan, Y.; Weinstein, M. I. 14 2006 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087 Jenkinson, M.; Weinstein, M. I. 13 2016 Dynamics of lattice kinks. Zbl 0954.35142 Kevrekidis, P. G.; Weinstein, M. I. 13 2000 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085 Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 13 2011 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060 Ilan, B.; Weinstein, M. I. 13 2010 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083 Duchêne, V.; Vukićević, I.; Weinstein, M. I. 12 2014 Long-lived scattering resonances and Bragg structures. Zbl 1307.78009 Osting, Braxton; Weinstein, Michael I. 11 2013 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172 Duchêne, Vincent; Weinstein, Michael I. 11 2011 Nonautonomous Hamiltonians. Zbl 0936.35148 Soffer, A.; Weinstein, M. I. 10 1998 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103 Watson, Alexander; Weinstein, Michael I. 10 2018 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159 Weinstein, Michael I. 10 1989 Optimization of scattering resonances. Zbl 1273.74045 Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014 Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064 Golowich, S. E.; Weinstein, M. I. 9 2005 Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. Zbl 1412.35283 Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I. 8 2018 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276 Jenkinson, M.; Weinstein, M. I. 8 2017 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099 Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 8 2015 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224 Gang, Zhou; Weinstein, Michael I. 8 2011 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010 Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 8 2012 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524 Kirr, E.; Weinstein, M. I. 7 2001 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074 Soffer, A.; Weinstein, M. I. 7 1989 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085 Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 7 2017 Radiation induced instability. Zbl 1071.34057 Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I. 7 2003 Tight-binding reduction and topological equivalence in strong magnetic fields. Zbl 1492.35339 Shapiro, Jacob; Weinstein, Michael I. 7 2022 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053 Fefferman, C. L.; Weinstein, M. I. 7 2020 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093 Pego, Robert L.; Weinstein, Michael I. 6 1993 Resonances of a potential well with a thick barrier. Zbl 1312.34130 Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I. 6 2013 Dirac operators and domain walls. Zbl 1442.35275 Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I. 6 2020 Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105 Weinstein, M. I.; Xin, J. 6 1996 Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027 Kirr, E.; Weinstein, M. I. 6 2003 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038 Miller, P. D.; Soffer, A.; Weinstein, M. I. 5 2000 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074 Weinstein, Michael I. 5 1986 On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093 Weinstein, Michael I. 5 1991 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638 Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 5 2015 Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091 Kirr, E.; Weinstein, M. I. 5 2005 Trapping light with grating defects. Zbl 1104.78008 Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 5 2005 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325 Goodman, Roy H.; Weinstein, Michael I. 5 2008 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023 Simpson, Gideon; Weinstein, Michael I. 5 2008 Lower bound on quantum tunneling for strong magnetic fields. Zbl 1485.81054 Fefferman, Charles; Shapiro, Jacob; Weinstein, Michael I. 5 2022 On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101 Colin, Thierry; Weinstein, Michael I. 4 1996 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042 Pego, R. L.; Weinstein, M. I. 4 1995 On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029 Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip 4 2008 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Is the continuum SSH model topological? Zbl 1508.35102 Shapiro, Jacob; Weinstein, Michael I. 4 2022 High contrast elliptic operators in honeycomb structures. Zbl 1481.35291 Cassier, Maxence; Weinstein, Michael I. 4 2021 Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041 Kevrekidis, P. G.; Weinstein, M. I. 3 2003 Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014 Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I. 3 2004 Radiative decay of bubble oscillations in a compressible fluid. Zbl 1230.35105 Shapiro, A. M.; Weinstein, M. I. 3 2011 Effective gaps in continuous Floquet Hamiltonians. Zbl 1486.35357 Sagiv, Amir; Weinstein, Michael I. 3 2022 Ionization and scattering for short-lived potentials. Zbl 0930.35113 Soffer, A.; Weinstein, M. I. 2 1999 Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118 Weinstein, M. I. 2 1996 Dynamics of partial differential equations. Zbl 1331.35006 Wayne, C. Eugene; Weinstein, Michael I. 2 2015 Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049 Osting, Braxton; Weinstein, Michael I. 2 2011 Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria. Zbl 07751576 Lai, Chen-Chih; Weinstein, Michael I. 1 2023 Tight-binding reduction and topological equivalence in strong magnetic fields. Zbl 1492.35339 Shapiro, Jacob; Weinstein, Michael I. 7 2022 Lower bound on quantum tunneling for strong magnetic fields. Zbl 1485.81054 Fefferman, Charles; Shapiro, Jacob; Weinstein, Michael I. 5 2022 Is the continuum SSH model topological? Zbl 1508.35102 Shapiro, Jacob; Weinstein, Michael I. 4 2022 Effective gaps in continuous Floquet Hamiltonians. Zbl 1486.35357 Sagiv, Amir; Weinstein, Michael I. 3 2022 High contrast elliptic operators in honeycomb structures. Zbl 1481.35291 Cassier, Maxence; Weinstein, Michael I. 4 2021 Defect modes for dislocated periodic media. Zbl 1508.81831 Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 19 2020 Edge states and the valley Hall effect. Zbl 1442.82003 Drouot, A.; Weinstein, M. I. 18 2020 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053 Fefferman, C. L.; Weinstein, M. I. 7 2020 Dirac operators and domain walls. Zbl 1442.35275 Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I. 6 2020 Erratum to: “Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators”. Zbl 1470.35295 Keller, Rachael T.; Marzuola, Jeremy L.; Osting, Braxton; Weinstein, Michael I. 2 2020 Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene. Zbl 1410.78024 Lee-Thorp, J. P.; Weinstein, M. I.; Zhu, Y. 31 2019 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061 Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 46 2018 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103 Watson, Alexander; Weinstein, Michael I. 10 2018 Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. Zbl 1412.35283 Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I. 8 2018 Topologically protected states in one-dimensional systems. Zbl 1379.35076 Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 33 2017 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276 Jenkinson, M.; Weinstein, M. I. 8 2017 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085 Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 7 2017 Ad honorem Charles Fefferman. Zbl 1377.01024 Córdoba, Antonio; Stein, Elias; Tao, Terence; Nirenberg, Louis; Kohn, Joseph J.; Chang, Sun-Yung Alice; Graham, C. Robin; Córdoba, Diego; Klartag, Bo’az; Fröhlich, Jürg; Seco, Luis; Weinstein, Michael 2 2017 Edge states in honeycomb structures. Zbl 1404.35128 Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 34 2016 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087 Jenkinson, M.; Weinstein, M. I. 13 2016 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099 Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 8 2015 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638 Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 5 2015 Dynamics of partial differential equations. Zbl 1331.35006 Wayne, C. Eugene; Weinstein, Michael I. 2 2015 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184 Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195 Fefferman, Charles L.; Weinstein, Michael I. 71 2014 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002 Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 47 2014 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124 Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 23 2014 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083 Duchêne, V.; Vukićević, I.; Weinstein, M. I. 12 2014 Long-lived scattering resonances and Bragg structures. Zbl 1307.78009 Osting, Braxton; Weinstein, Michael I. 11 2013 Resonances of a potential well with a thick barrier. Zbl 1312.34130 Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I. 6 2013 The lifetime of shape oscillations of a bubble in an unbounded, inviscid, and compressible fluid with surface tension. Zbl 1282.35293 Costin, Ovidiu; Tanveer, Saleh; Weinstein, Michael I. 2 2013 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214 Fefferman, Charles L.; Weinstein, Michael I. 106 2012 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010 Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 8 2012 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032 Hoefer, M. A.; Weinstein, M. I. 21 2011 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085 Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 13 2011 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172 Duchêne, Vincent; Weinstein, Michael I. 11 2011 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224 Gang, Zhou; Weinstein, Michael I. 8 2011 Radiative decay of bubble oscillations in a compressible fluid. Zbl 1230.35105 Shapiro, A. M.; Weinstein, M. I. 3 2011 Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049 Osting, Braxton; Weinstein, Michael I. 2 2011 Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180 Simpson, G.; Weinstein, M. I. 2 2011 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 58 2010 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288 Marzuola, Jeremy L.; Weinstein, Michael I. 18 2010 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060 Ilan, B.; Weinstein, M. I. 13 2010 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406 Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 64 2008 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479 Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 39 2008 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136 Gang, Zhou; Weinstein, Michael I. 20 2008 Optimization of scattering resonances. Zbl 1273.74045 Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325 Goodman, Roy H.; Weinstein, Michael I. 5 2008 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023 Simpson, Gideon; Weinstein, Michael I. 5 2008 On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029 Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip 4 2008 Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013 Simpson, G.; Spiegelman, M.; Weinstein, M. I. 20 2007 Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130 Fibich, G.; Sivan, Y.; Weinstein, M. I. 14 2006 Extended Hamiltonian systems. Zbl 1130.37398 Weinstein, M. I. 1 2006 Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310 Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. 16 2005 Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064 Golowich, S. E.; Weinstein, M. I. 9 2005 Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091 Kirr, E.; Weinstein, M. I. 5 2005 Trapping light with grating defects. Zbl 1104.78008 Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 5 2005 Transient radiative behavior of Hamiltonian systems in finite domains. Zbl 1345.37080 Rapti, Z.; Weinstein, M. I.; Kevrekidis, P. G. 1 2005 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313 Soffer, A.; Weinstein, M. I. 65 2004 Strong NLS soliton-defect interactions. Zbl 1061.35132 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 64 2004 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015 Jackson, R. K.; Weinstein, M. I. 26 2004 Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014 Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I. 3 2004 Radiation induced instability. Zbl 1071.34057 Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I. 7 2003 Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027 Kirr, E.; Weinstein, M. I. 6 2003 Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041 Kevrekidis, P. G.; Weinstein, M. I. 3 2003 Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007 Golowich, S. E.; Weinstein, M. I. 1 2003 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 28 2002 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011 Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 32 2001 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524 Kirr, E.; Weinstein, M. I. 7 2001 Dynamics of lattice kinks. Zbl 0954.35142 Kevrekidis, P. G.; Weinstein, M. I. 13 2000 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038 Miller, P. D.; Soffer, A.; Weinstein, M. I. 5 2000 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107 Soffer, A.; Weinstein, M. I. 137 1999 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147 Weinstein, M. I. 79 1999 Ionization and scattering for short-lived potentials. Zbl 0930.35113 Soffer, A.; Weinstein, M. I. 2 1999 Time dependent resonance theory. Zbl 0917.35023 Soffer, A.; Weinstein, M. I. 37 1998 Nonautonomous Hamiltonians. Zbl 0936.35148 Soffer, A.; Weinstein, M. I. 10 1998 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079 Pego, Robert L.; Weinstein, Michael I. 21 1997 Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102 Miller, Judith R.; Weinstein, Michael I. 35 1996 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502 Malomed, Boris; Weinstein, Michael I. 25 1996 Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105 Weinstein, M. I.; Xin, J. 6 1996 On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101 Colin, Thierry; Weinstein, Michael I. 4 1996 Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118 Weinstein, M. I. 2 1996 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014 Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042 Pego, R. L.; Weinstein, M. I. 4 1995 Asymptotic stability of solitary waves. Zbl 0805.35117 Pego, Robert L.; Weinstein, Michael I. 151 1994 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031 Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 51 1993 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093 Pego, Robert L.; Weinstein, Michael I. 6 1993 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065 Pego, Robert L.; Weinstein, Michael I. 175 1992 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073 Soffer, A.; Weinstein, M. I. 101 1992 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067 Christ, F. M.; Weinstein, M. I. 221 1991 On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093 Weinstein, Michael I. 5 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082 Soffer, A.; Weinstein, M. I. 124 1990 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159 Weinstein, Michael I. 10 1989 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074 Soffer, A.; Weinstein, M. I. 7 1989 On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202 Rose, Harvey A.; Weinstein, Michael I. 60 1988 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040 Weinstein, Michael I. 97 1987 A stable manifold theorem for the curve shortening equation. Zbl 0602.34026 Epstein, C. L.; Weinstein, M. I. 39 1987 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033 Weinstein, Michael I.; Keller, Joseph B. 26 1987 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,463 Authors 54 Zhang, Jian 51 Weinstein, Michael I. 33 Martel, Yvan 33 Merle, Frank 33 Pelinovsky, Dmitry Efimovich 29 Cuccagna, Scipio 27 Kevrekidis, Panayotis G. 27 Komech, Alexander Ilich 25 Guo, Boling 25 Raphael, Pierre 25 Zhu, Shihui 25 Zumbrun, Kevin R. 24 Muñoz, Claudio 24 Nguyen, Hoai-Minh 23 Kopylova, Elena A. 22 Maeda, Masaya 20 Guo, Yujin 20 Liu, Hongyu 20 Roudenko, Svetlana 20 Saanouni, Tarek 17 Gan, Zaihui 17 Marzuola, Jeremy Louis 17 Ohta, Masahito 16 Ammari, Habib 16 Angulo Pava, Jaime 16 Goodman, Roy H. 16 Stefanov, Atanas G. 15 Bao, Weizhu 15 Fibich, Gadi 15 Li, Jichun 15 Malomed, Boris A. 14 Cai, Yongyong 14 Dinh, Van Duong 14 Murphy, Jason 14 Natali, Fábio M. Amorin 14 Ozawa, Tohru 14 Pastor, Ademir 13 Adami, Riccardo 13 Holmer, Justin 13 Miao, Changxing 13 Zeng, Xiaoyu 13 Zhang, Weiguo 12 Drouot, Alexis 12 Farah, Luiz Gustavo 12 Georgiev, Vladimir S. 12 Il’ichev, Andreĭ Teĭmurazovich 12 Kang, Hyeonbae 12 Xu, Guixiang 11 Carles, Rémi 11 Dohnal, Tomáš 11 Duran, Angel 11 Karachalios, Nikos I. 11 Li, Hongjie 11 Li, Xiaoguang 11 Mizumachi, Tetsu 11 Nakanishi, Kenji 11 Schneider, Guido 11 Segata, Jun-ichi 11 Soffer, Avraham 11 Visan, Monica 11 Zheng, Jiqiang 10 Bona, Jerry Lloyd 10 Borrelli, William 10 Comech, Andrew 10 Cuevas Maraver, Jesús 10 Guenneau, Sebastien R. L. 10 Humpherys, Jeffrey 10 Johnson, Mathew A. 10 Noja, Diego 10 Shu, Ji 10 Watson, Alexander B. 9 Chen, Haibo 9 Côte, Raphaël 9 Craster, Richard V. 9 Dodson, Benjamin G. 9 Hakkaev, Sevdzhan A. 9 Huang, Yunqing 9 Ikeda, Masahiro 9 Killip, Rowan 9 Ponce, Gustavo 9 Sacchetti, Andrea 9 Stanislavova, Milena 9 Stuart, David M. A. 9 Tang, Xingdong 9 Yang, Jianke 9 Zhou, Huan-Song 9 Zhu, Yi 8 Alejo, Miguel A. 8 Bal, Guillaume 8 Carlone, Raffaele 8 Colin, Thierry 8 Fefferman, Charles Louis 8 Feng, Binhua 8 Frank, Rupert L. 8 Hiltunen, Erik Orvehed 8 Huang, Juan 8 Lassas, Matti J. 8 Le Coz, Stefan 8 Lemou, Mohammed 8 Lenzmann, Enno ...and 2,363 more Authors all top 5 Cited in 343 Serials 141 Journal of Differential Equations 129 Physica D 116 Journal of Mathematical Physics 106 Communications in Mathematical Physics 90 Journal of Mathematical Analysis and Applications 62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 SIAM Journal on Mathematical Analysis 56 Archive for Rational Mechanics and Analysis 52 Journal of Functional Analysis 52 Communications in Partial Differential Equations 51 Discrete and Continuous Dynamical Systems 45 Annales de l’Institut Henri Poincaré. 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(English Edition) 5 Abstract and Applied Analysis 5 Journal of Fixed Point Theory and Applications ...and 243 more Serials all top 5 Cited in 51 Fields 2,215 Partial differential equations (35-XX) 379 Dynamical systems and ergodic theory (37-XX) 360 Quantum theory (81-XX) 249 Fluid mechanics (76-XX) 212 Optics, electromagnetic theory (78-XX) 204 Statistical mechanics, structure of matter (82-XX) 189 Numerical analysis (65-XX) 140 Operator theory (47-XX) 122 Ordinary differential equations (34-XX) 80 Mechanics of deformable solids (74-XX) 67 Functional analysis (46-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 59 Difference and functional equations (39-XX) 53 Global analysis, analysis on manifolds (58-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 43 Mechanics of particles and systems (70-XX) 41 Real functions (26-XX) 40 Differential geometry (53-XX) 32 Probability theory and stochastic processes (60-XX) 26 Biology and other natural sciences (92-XX) 17 Classical thermodynamics, heat transfer (80-XX) 14 Integral equations (45-XX) 14 Relativity and gravitational theory (83-XX) 13 Combinatorics (05-XX) 13 Special functions (33-XX) 13 Geophysics (86-XX) 12 Approximations and expansions (41-XX) 11 Systems theory; control (93-XX) 10 Potential theory (31-XX) 10 Astronomy and astrophysics (85-XX) 8 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 6 Measure and integration (28-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year