Edit Profile (opens in new tab) Weinstein, Michael I. Compute Distance To: Compute 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: 111 Publications since 1983, including 2 Books 1 Further Contribution Co-Authors: 63 Co-Authors with 92 Joint Publications 2,239 Co-Co-Authors all top 5 Co-Authors 15 single-authored 9 Fefferman, Charles Louis 9 Soffer, Avraham 7 Pego, Robert L. 6 Goodman, Roy H. 5 Duchêne, Vincent 5 Kevrekidis, Panayotis G. 5 Kohn, Robert Vita 5 Lee-Thorp, James P. 5 Marzuola, Jeremy Louis 5 Simpson, Gideon 4 Kirr, E. W. 4 Osting, Braxton 3 Holmes, Philip J. 3 Lu, Jianfeng 3 Vogelius, Michael S. 3 Vukićević, Iva 3 Watson, Alexander B. 2 Bloch, Anthony Michael 2 Gang, Zhou 2 Golowich, Steven E. 2 Hagerty, Patrick 2 Jenkinson, Michael J. 2 Keller, Joseph Bishop 2 Keller, Rachael T. 2 Malomed, Boris A. 2 Onofrei, Daniel 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 Epstein, Charles Lawrence 1 Fibich, Gadi 1 Frantzeskakis, Dimitri J. 1 Fröhlich, Jürg Martin 1 Graham, C. Robin 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 Sagiv, Amir 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 Zharnitsky, Vadim 1 Zhu, Yi all top 5 Serials 13 Communications in Mathematical Physics 12 SIAM Journal on Mathematical Analysis 8 Multiscale Modeling & Simulation 7 Communications on Pure and Applied Mathematics 7 Physica D 5 Nonlinearity 5 SIAM Journal on Applied Mathematics 3 Journal of Statistical Physics 3 Physics Letters. A 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 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 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 Journal of Nonlinear Science 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 96 Partial differential equations (35-XX) 25 Quantum theory (81-XX) 24 Optics, electromagnetic theory (78-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-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 105 Publications have been cited 3,709 times in 2,244 Documents Cited by ▼ Year ▼ Nonlinear Schrödinger equations and sharp interpolation estimates. Zbl 0527.35023Weinstein, Michael I. 562 1983 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005Weinstein, Michael I. 325 1986 Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028Weinstein, Michael I. 302 1985 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067Christ, F. M.; Weinstein, M. I. 200 1991 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 164 1992 Asymptotic stability of solitary waves. Zbl 0805.35117Pego, Robert L.; Weinstein, Michael I. 135 1994 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 124 1999 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 117 1990 Between nilpotent and solvable. Zbl 0488.20001 114 1982 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 97 1992 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 92 1987 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 86 1986 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214Fefferman, Charles L.; Weinstein, Michael I. 81 2012 The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054Schochet, Steven H.; Weinstein, Michael I. 75 1986 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147Weinstein, M. I. 65 1999 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 61 2004 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 60 2008 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195Fefferman, Charles L.; Weinstein, Michael I. 57 2014 Strong NLS soliton-defect interactions. Zbl 1061.35132Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 56 2004 On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202Rose, Harvey A.; Weinstein, Michael I. 55 1988 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 53 2010 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 48 1993 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 45 2014 A stable manifold theorem for the curve shortening equation. Zbl 0602.34026Epstein, C. L.; Weinstein, M. I. 38 1987 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 37 2008 Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102Miller, Judith R.; Weinstein, Michael I. 34 1996 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 34 1998 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 31 2018 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 31 2001 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 27 2016 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 26 2002 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033Weinstein, Michael I.; Keller, Joseph B. 26 1987 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 24 2017 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015Jackson, R. K.; Weinstein, M. I. 24 2004 Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015Weinstein, Michael I. 22 1987 Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene. Zbl 1410.78024Lee-Thorp, J. P.; Weinstein, M. I.; Zhu, Y. 21 2019 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136Gang, Zhou; Weinstein, Michael I. 20 2008 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502Malomed, Boris; Weinstein, Michael I. 19 1996 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079Pego, Robert L.; Weinstein, Michael I. 19 1997 Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013Simpson, G.; Spiegelman, M.; Weinstein, M. I. 18 2007 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032Hoefer, M. A.; Weinstein, M. I. 18 2011 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 17 2014 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288Marzuola, Jeremy L.; Weinstein, Michael I. 17 2010 Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130Fibich, G.; Sivan, Y.; Weinstein, M. I. 14 2006 Edge states and the valley Hall effect. Zbl 1442.82003Drouot, A.; Weinstein, M. I. 13 2020 Hill’s equation with a large potential. Zbl 0578.34038Weinstein, Michael I.; Keller, Joseph B. 13 1985 Dynamics of lattice kinks. Zbl 0954.35142Kevrekidis, P. G.; Weinstein, M. I. 12 2000 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060Ilan, B.; Weinstein, M. I. 12 2010 Long-lived scattering resonances and Bragg structures. Zbl 1307.78009Osting, Braxton; Weinstein, Michael I. 11 2013 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 10 2020 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087Jenkinson, M.; Weinstein, M. I. 9 2016 Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064Golowich, S. E.; Weinstein, M. I. 9 2005 Optimization of scattering resonances. Zbl 1273.74045Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 9 2008 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083Duchêne, V.; Vukićević, I.; Weinstein, M. I. 9 2014 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 9 2011 Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. 9 2005 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103Watson, Alexander; Weinstein, Michael I. 8 2018 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159Weinstein, Michael I. 8 1989 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 2011 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224Gang, Zhou; Weinstein, Michael I. 8 2011 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524Kirr, E.; Weinstein, M. I. 7 2001 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. Zbl 1412.35283Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I. 6 2018 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 6 2017 Radiation induced instability. Zbl 1071.34057Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I. 6 2003 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 6 1993 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053Fefferman, C. L.; Weinstein, M. I. 6 2020 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 6 2015 Resonances of a potential well with a thick barrier. Zbl 1312.34130Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I. 6 2013 Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105Weinstein, M. I.; Xin, J. 6 1996 Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091Kirr, E.; Weinstein, M. I. 5 2005 Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027Kirr, E.; Weinstein, M. I. 5 2003 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325Goodman, Roy H.; Weinstein, Michael I. 5 2008 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 5 2012 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023Simpson, Gideon; Weinstein, Michael I. 5 2008 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276Jenkinson, M.; Weinstein, M. I. 4 2017 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101Colin, Thierry; Weinstein, Michael I. 4 1996 On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093Weinstein, Michael I. 4 1991 On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip 4 2008 Trapping light with grating defects. Zbl 1104.78008Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 4 2005 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 4 2015 Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I. 3 2004 Dirac operators and domain walls. Zbl 1442.35275Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I. 3 2020 Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041Kevrekidis, P. G.; Weinstein, M. I. 3 2003 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042Pego, R. L.; Weinstein, M. I. 3 1995 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074Weinstein, Michael I. 3 1986 High contrast elliptic operators in honeycomb structures. Zbl 1481.35291Cassier, Maxence; Weinstein, Michael I. 3 2021 Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118Weinstein, M. I. 2 1996 Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180Simpson, G.; Weinstein, M. I. 2 2011 Erratum to: “Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators”. Zbl 1470.35295Keller, Rachael T.; Marzuola, Jeremy L.; Osting, Braxton; Weinstein, Michael I. 2 2020 Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049Osting, Braxton; Weinstein, Michael I. 2 2011 Ionization and scattering for short-lived potentials. Zbl 0930.35113Soffer, A.; Weinstein, M. I. 2 1999 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007Golowich, S. E.; Weinstein, M. I. 1 2003 Extended Hamiltonian systems. Zbl 1130.37398Weinstein, M. I. 1 2006 Transient radiative behavior of Hamiltonian systems in finite domains. Zbl 1345.37080Rapti, Z.; Weinstein, M. I.; Kevrekidis, P. G. 1 2005 High contrast elliptic operators in honeycomb structures. Zbl 1481.35291Cassier, Maxence; Weinstein, Michael I. 3 2021 Edge states and the valley Hall effect. Zbl 1442.82003Drouot, A.; Weinstein, M. I. 13 2020 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 10 2020 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053Fefferman, C. L.; Weinstein, M. I. 6 2020 Dirac operators and domain walls. Zbl 1442.35275Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I. 3 2020 Erratum to: “Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators”. Zbl 1470.35295Keller, 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 1410.78024Lee-Thorp, J. P.; Weinstein, M. I.; Zhu, Y. 21 2019 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 31 2018 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103Watson, Alexander; Weinstein, Michael I. 8 2018 Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. Zbl 1412.35283Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I. 6 2018 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 24 2017 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 6 2017 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276Jenkinson, M.; Weinstein, M. I. 4 2017 Ad honorem Charles Fefferman. Zbl 1377.01024Córdoba, 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 1 2017 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 27 2016 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087Jenkinson, M.; Weinstein, M. I. 9 2016 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 6 2015 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 4 2015 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 Dynamics of partial differential equations. Zbl 1331.35006Wayne, C. Eugene; Weinstein, Michael I. 1 2015 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195Fefferman, Charles L.; Weinstein, Michael I. 57 2014 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 45 2014 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 17 2014 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083Duchêne, V.; Vukićević, I.; Weinstein, M. I. 9 2014 Long-lived scattering resonances and Bragg structures. Zbl 1307.78009Osting, Braxton; Weinstein, Michael I. 11 2013 Resonances of a potential well with a thick barrier. Zbl 1312.34130Dobson, 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 1282.35293Costin, Ovidiu; Tanveer, Saleh; Weinstein, Michael I. 1 2013 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214Fefferman, Charles L.; Weinstein, Michael I. 81 2012 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 5 2012 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032Hoefer, M. A.; Weinstein, M. I. 18 2011 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 9 2011 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 2011 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224Gang, Zhou; Weinstein, Michael I. 8 2011 Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180Simpson, G.; Weinstein, M. I. 2 2011 Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049Osting, Braxton; Weinstein, Michael I. 2 2011 Radiative decay of bubble oscillations in a compressible fluid. Zbl 1230.35105Shapiro, A. M.; Weinstein, M. I. 1 2011 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 53 2010 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288Marzuola, Jeremy L.; Weinstein, Michael I. 17 2010 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060Ilan, B.; Weinstein, M. I. 12 2010 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 60 2008 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 37 2008 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136Gang, Zhou; Weinstein, Michael I. 20 2008 Optimization of scattering resonances. Zbl 1273.74045Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 9 2008 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325Goodman, Roy H.; Weinstein, Michael I. 5 2008 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023Simpson, Gideon; Weinstein, Michael I. 5 2008 On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip 4 2008 Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013Simpson, G.; Spiegelman, M.; Weinstein, M. I. 18 2007 Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130Fibich, G.; Sivan, Y.; Weinstein, M. I. 14 2006 Extended Hamiltonian systems. Zbl 1130.37398Weinstein, M. I. 1 2006 Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064Golowich, S. E.; Weinstein, M. I. 9 2005 Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. 9 2005 Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091Kirr, E.; Weinstein, M. I. 5 2005 Trapping light with grating defects. Zbl 1104.78008Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 4 2005 Transient radiative behavior of Hamiltonian systems in finite domains. Zbl 1345.37080Rapti, Z.; Weinstein, M. I.; Kevrekidis, P. G. 1 2005 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 61 2004 Strong NLS soliton-defect interactions. Zbl 1061.35132Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 56 2004 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015Jackson, R. K.; Weinstein, M. I. 24 2004 Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I. 3 2004 Radiation induced instability. Zbl 1071.34057Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I. 6 2003 Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027Kirr, E.; Weinstein, M. I. 5 2003 Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041Kevrekidis, P. G.; Weinstein, M. I. 3 2003 Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007Golowich, S. E.; Weinstein, M. I. 1 2003 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 26 2002 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 31 2001 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524Kirr, E.; Weinstein, M. I. 7 2001 Dynamics of lattice kinks. Zbl 0954.35142Kevrekidis, P. G.; Weinstein, M. I. 12 2000 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 124 1999 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147Weinstein, M. I. 65 1999 Ionization and scattering for short-lived potentials. Zbl 0930.35113Soffer, A.; Weinstein, M. I. 2 1999 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 34 1998 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079Pego, Robert L.; Weinstein, Michael I. 19 1997 Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102Miller, Judith R.; Weinstein, Michael I. 34 1996 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502Malomed, Boris; Weinstein, Michael I. 19 1996 Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105Weinstein, M. I.; Xin, J. 6 1996 On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101Colin, Thierry; Weinstein, Michael I. 4 1996 Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118Weinstein, M. I. 2 1996 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042Pego, R. L.; Weinstein, M. I. 3 1995 Asymptotic stability of solitary waves. Zbl 0805.35117Pego, Robert L.; Weinstein, Michael I. 135 1994 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 48 1993 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 6 1993 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 164 1992 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 97 1992 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067Christ, F. M.; Weinstein, M. I. 200 1991 On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093Weinstein, Michael I. 4 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 117 1990 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159Weinstein, Michael I. 8 1989 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202Rose, Harvey A.; Weinstein, Michael I. 55 1988 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 92 1987 A stable manifold theorem for the curve shortening equation. Zbl 0602.34026Epstein, C. L.; Weinstein, M. I. 38 1987 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033Weinstein, Michael I.; Keller, Joseph B. 26 1987 Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015Weinstein, Michael I. 22 1987 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005Weinstein, Michael I. 325 1986 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 86 1986 The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054Schochet, Steven H.; Weinstein, Michael I. 75 1986 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074Weinstein, Michael I. 3 1986 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,166 Authors 50 Zhang, Jian 45 Weinstein, Michael I. 33 Merle, Frank 31 Martel, Yvan 31 Pelinovsky, Dmitry Efimovich 28 Cuccagna, Scipio 27 Komech, Alexander Ilich 25 Raphael, Pierre 24 Guo, Boling 24 Zumbrun, Kevin R. 23 Nguyen, Hoai-Minh 23 Zhu, Shihui 22 Kopylova, Elena A. 22 Muñoz, Claudio 19 Kevrekidis, Panayotis G. 19 Maeda, Masaya 18 Liu, Hongyu 17 Gan, Zaihui 17 Marzuola, Jeremy Louis 17 Ohta, Masahito 16 Angulo Pava, Jaime 16 Roudenko, Svetlana 16 Saanouni, Tarek 15 Bao, Weizhu 15 Guo, Yujin 14 Fibich, Gadi 13 Cai, Yongyong 13 Dinh, Van Duong 13 Goodman, Roy H. 13 Holmer, Justin 13 Li, Jichun 13 Ozawa, Tohru 12 Kang, Hyeonbae 12 Miao, Changxing 12 Natali, Fábio M. Amorin 12 Pastor, Ademir 12 Stefanov, Atanas G. 12 Zeng, Xiaoyu 11 Adami, Riccardo 11 Ammari, Habib M. 11 Comech, Andrew 11 Dohnal, Tomáš 11 Duran, Angel 11 Georgiev, Vladimir S. 11 Il’ichev, Andreĭ Teĭmurazovich 11 Li, Hongjie 11 Murphy, Jason 11 Zhang, Weiguo 11 Zheng, Jiqiang 10 Bona, Jerry Lloyd 10 Borrelli, William 10 Chen, Jianqing 10 Humpherys, Jeffrey 10 Johnson, Mathew A. 10 Malomed, Boris A. 10 Nakanishi, Kenji 10 Schneider, Guido 10 Segata, Jun-ichi 10 Shu, Ji 10 Soffer, Avraham 10 Visan, Monica 9 Farah, Luiz Gustavo 9 Ghazaryan, Anna 9 Li, Xiaoguang 9 Mizumachi, Tetsu 9 Stuart, David M. A. 9 Xu, Guixiang 9 Yang, Jianke 9 Zhou, Huan-Song 8 Colin, Thierry 8 Côte, Raphaël 8 Dodson, Benjamin G. 8 Drouot, Alexis 8 Feng, Binhua 8 Hakkaev, Sevdzhan A. 8 Huang, Juan 8 Huang, Yunqing 8 Karachalios, Nikos I. 8 Killip, Rowan 8 Lassas, Matti J. 8 Latushkin, Yuri 8 Le Coz, Stefan 8 Lemou, Mohammed 8 Lenzmann, Enno 8 Lewin, Mathieu 8 Liu, Yue 8 Nawa, Hayato 8 Noja, Diego 8 Ponce, Gustavo 8 Sacchetti, Andrea 8 Sigal, Israel Michael 8 Stanislavova, Milena 8 Uhlmann, Gunther Alberto 8 Wei, Juncheng 8 Yu, SangHyeon 7 Barker, Blake 7 Cacciapuoti, Claudio 7 Chen, Guanggan 7 Craster, Richard V. 7 Deng, Youjun ...and 2,066 more Authors all top 5 Cited in 318 Serials 124 Journal of Differential Equations 122 Physica D 104 Journal of Mathematical Physics 100 Communications in Mathematical Physics 84 Journal of Mathematical Analysis and Applications 58 Nonlinear Analysis. Theory, Methods & Applications. 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