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. Homepage: http://www.columbia.edu/~miw2103/ External Links: MGP · dblp Documents Indexed: 110 Publications since 1983, including 2 Books 1 Further Contribution Co-Authors: 62 Co-Authors with 92 Joint Publications 2,138 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 L. 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 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 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 Advances in Mathematics 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 95 Partial differential equations (35-XX) 24 Optics, electromagnetic theory (78-XX) 24 Quantum theory (81-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 15 Statistical mechanics, structure of matter (82-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 103 Publications have been cited 3,597 times in 2,126 Documents Cited by ▼ Year ▼ Nonlinear Schrödinger equations and sharp interpolation estimates. Zbl 0527.35023Weinstein, Michael I. 520 1983 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005Weinstein, Michael I. 313 1986 Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028Weinstein, Michael I. 285 1985 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067Christ, F. M.; Weinstein, M. I. 181 1991 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 160 1992 Asymptotic stability of solitary waves. Zbl 0805.35117Pego, Robert L.; Weinstein, Michael I. 132 1994 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 119 1999 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 112 1990 Between nilpotent and solvable. Zbl 0488.20001 104 1982 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 96 1992 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 88 1987 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 84 1986 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214Fefferman, Charles L.; Weinstein, Michael I. 75 2012 The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054Schochet, Steven H.; Weinstein, Michael I. 71 1986 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147Weinstein, M. I. 63 1999 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 59 2004 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 58 2008 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195Fefferman, Charles L.; Weinstein, Michael I. 54 2014 On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202Rose, Harvey A.; Weinstein, Michael I. 52 1988 Strong NLS soliton-defect interactions. Zbl 1061.35132Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 51 2004 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 50 2010 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 45 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. 35 1987 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 33 1998 Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102Miller, Judith R.; Weinstein, Michael I. 33 1996 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 30 2008 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 30 2001 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 27 2018 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. 25 2002 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033Weinstein, Michael I.; Keller, Joseph B. 25 1987 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015Jackson, R. K.; Weinstein, M. I. 22 2004 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 22 2016 Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015Weinstein, Michael I. 22 1987 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 22 2017 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079Pego, Robert L.; Weinstein, Michael I. 19 1997 Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. Zbl 1175.35136Gang, Zhou; Weinstein, Michael I. 19 2008 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. 18 2019 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032Hoefer, M. A.; Weinstein, M. I. 17 2011 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502Malomed, Boris; Weinstein, Michael I. 17 1996 Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013Simpson, G.; Spiegelman, M.; Weinstein, M. I. 17 2007 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288Marzuola, Jeremy L.; Weinstein, Michael I. 15 2010 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 15 2014 Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130Fibich, G.; Sivan, Y.; Weinstein, M. I. 14 2006 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 Long-lived scattering resonances and Bragg structures. Zbl 1307.78009Osting, Braxton; Weinstein, Michael I. 11 2013 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060Ilan, B.; Weinstein, M. I. 10 2010 Edge states and the valley Hall effect. Zbl 1442.82003Drouot, A.; Weinstein, M. I. 10 2020 Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064Golowich, S. E.; Weinstein, M. I. 9 2005 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 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 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 8 2020 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224Gang, Zhou; Weinstein, Michael I. 8 2011 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 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. 8 2005 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159Weinstein, Michael I. 7 1989 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 7 2011 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087Jenkinson, M.; Weinstein, M. I. 7 2016 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103Watson, Alexander; Weinstein, Michael I. 6 2018 Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105Weinstein, M. I.; Xin, J. 6 1996 Resonances of a potential well with a thick barrier. Zbl 1312.34130Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I. 6 2013 Radiation induced instability. Zbl 1071.34057Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I. 6 2003 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524Kirr, E.; Weinstein, M. I. 6 2001 Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027Kirr, E.; Weinstein, M. I. 5 2003 Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091Kirr, E.; Weinstein, M. I. 5 2005 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023Simpson, Gideon; Weinstein, Michael I. 5 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 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 5 1993 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. 5 2018 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 5 2015 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 5 2017 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 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 4 2012 Trapping light with grating defects. Zbl 1104.78008Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 4 2005 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 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 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 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053Fefferman, C. L.; Weinstein, M. I. 3 2020 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042Pego, R. L.; Weinstein, M. I. 3 1995 Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I. 3 2004 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074Weinstein, Michael I. 3 1986 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276Jenkinson, M.; Weinstein, M. I. 3 2017 Dirac operators and domain walls. Zbl 1442.35275Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I. 3 2020 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 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 Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041Kevrekidis, P. G.; Weinstein, M. I. 2 2003 Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118Weinstein, M. I. 2 1996 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 Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180Simpson, G.; Weinstein, M. I. 2 2011 Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007Golowich, S. E.; Weinstein, M. I. 1 2003 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 Radiative decay of bubble oscillations in a compressible fluid. Zbl 1230.35105Shapiro, A. M.; Weinstein, M. I. 1 2011 Focusing singularity for the nonlinear Schrödinger equation. Zbl 0542.35028Papanicolaou, G.; McLaughlin, D.; Weinstein, M. 1 1983 Edge states and the valley Hall effect. Zbl 1442.82003Drouot, A.; Weinstein, M. I. 10 2020 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 8 2020 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053Fefferman, C. L.; Weinstein, M. I. 3 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. 18 2019 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 27 2018 Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103Watson, Alexander; Weinstein, Michael I. 6 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. 5 2018 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 22 2017 Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I. 5 2017 Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276Jenkinson, M.; Weinstein, M. I. 3 2017 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 22 2016 Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087Jenkinson, M.; Weinstein, M. I. 7 2016 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 5 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. 54 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. 15 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. 75 2012 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 4 2012 Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032Hoefer, M. A.; Weinstein, M. I. 17 2011 Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224Gang, Zhou; Weinstein, Michael I. 8 2011 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 2011 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 7 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 Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180Simpson, G.; Weinstein, M. 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. 50 2010 Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288Marzuola, Jeremy L.; Weinstein, Michael I. 15 2010 Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060Ilan, B.; Weinstein, M. I. 10 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. 58 2008 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 30 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. 19 2008 Optimization of scattering resonances. Zbl 1273.74045Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 9 2008 Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023Simpson, Gideon; Weinstein, Michael I. 5 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 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. 17 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. 8 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. 59 2004 Strong NLS soliton-defect interactions. Zbl 1061.35132Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 51 2004 Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015Jackson, R. K.; Weinstein, M. I. 22 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. 2 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. 25 2002 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 30 2001 Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524Kirr, E.; Weinstein, M. I. 6 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. 119 1999 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147Weinstein, M. I. 63 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. 33 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. 33 1996 Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502Malomed, Boris; Weinstein, Michael I. 17 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. 132 1994 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 45 1993 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 5 1993 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 160 1992 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 96 1992 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067Christ, F. M.; Weinstein, M. I. 181 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. 112 1990 The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159Weinstein, Michael I. 7 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. 52 1988 Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040Weinstein, Michael I. 88 1987 A stable manifold theorem for the curve shortening equation. Zbl 0602.34026Epstein, C. L.; Weinstein, M. I. 35 1987 Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033Weinstein, Michael I.; Keller, Joseph B. 25 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. 313 1986 On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022Weinstein, Michael I. 84 1986 The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054Schochet, Steven H.; Weinstein, Michael I. 71 1986 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074Weinstein, Michael I. 3 1986 Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028Weinstein, Michael I. 285 1985 Hill’s equation with a large potential. Zbl 0578.34038Weinstein, Michael I.; Keller, Joseph B. 13 1985 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,055 Authors 44 Weinstein, Michael I. 42 Zhang, Jian 33 Merle, Frank 31 Martel, Yvan 31 Pelinovsky, Dmitry Efimovich 27 Komech, Alexander Ilich 25 Cuccagna, Scipio 25 Raphael, Pierre 24 Guo, Boling 24 Zumbrun, Kevin R. 23 Nguyen, Hoai-Minh 22 Kopylova, Elena A. 22 Muñoz, Claudio 20 Zhu, Shihui 19 Kevrekidis, Panayotis G. 18 Liu, Hongyu 17 Gan, Zaihui 17 Ohta, Masahito 15 Angulo Pava, Jaime 15 Bao, Weizhu 15 Maeda, Masaya 15 Marzuola, Jeremy L. 14 Fibich, Gadi 14 Guo, Yujin 14 Roudenko, Svetlana 13 Cai, Yongyong 13 Dinh, Van Duong 13 Goodman, Roy H. 13 Holmer, Justin 13 Li, Jichun 13 Saanouni, Tarek 12 Kang, Hyeonbae 12 Ozawa, Tohru 12 Pastor, Ademir 12 Zeng, Xiaoyu 11 Comech, Andrew 11 Duran, Angel 11 Georgiev, Vladimir S. 11 Il’ichev, Andreĭ Teĭmurazovich 11 Li, Hongjie 11 Natali, Fábio M. Amorin 10 Adami, Riccardo 10 Bona, Jerry Lloyd 10 Borrelli, William 10 Chen, Jianqing 10 Dohnal, Tomáš 10 Humpherys, Jeffrey 10 Johnson, Mathew A. 10 Malomed, Boris A. 10 Miao, Changxing 10 Murphy, Jason 10 Schneider, Guido 10 Soffer, Avraham 10 Visan, Monica 10 Zhang, Weiguo 10 Zheng, Jiqiang 9 Ammari, Habib M. 9 Ghazaryan, Anna 9 Li, Xiaoguang 9 Mizumachi, Tetsu 9 Nakanishi, Kenji 9 Segata, Jun-ichi 9 Shu, Ji 9 Stefanov, Atanas G. 9 Stuart, David M. A. 9 Xu, Guixiang 9 Zhou, Huan-Song 8 Colin, Thierry 8 Côte, Raphaël 8 Dodson, Benjamin G. 8 Drouot, Alexis 8 Farah, Luiz Gustavo 8 Huang, Juan 8 Huang, Yunqing 8 Karachalios, Nikos I. 8 Killip, Rowan 8 Latushkin, Yuri 8 Lemou, Mohammed 8 Lenzmann, Enno 8 Lewin, Mathieu 8 Nawa, Hayato 8 Noja, Diego 8 Ponce, Gustavo 8 Sacchetti, Andrea 8 Uhlmann, Gunther Alberto 8 Yang, Jianke 7 Barker, Blake 7 Cacciapuoti, Claudio 7 Chen, Guanggan 7 Craster, Richard V. 7 Deng, Youjun 7 Esfahani, Amin 7 Fefferman, Charles Louis 7 Frank, Rupert L. 7 Hayashi, Nakao 7 Ikeda, Masahiro 7 Kenig, Carlos Eduardo 7 Kikuchi, Hiroaki 7 Lafortune, Stéphane 7 Lassas, Matti J. ...and 1,955 more Authors all top 5 Cited in 305 Serials 121 Journal of Differential Equations 117 Physica D 104 Journal of Mathematical Physics 99 Communications in Mathematical Physics 82 Journal of Mathematical Analysis and Applications 52 Nonlinear Analysis. Theory, Methods & Applications. 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(English Edition) 5 Acta Applicandae Mathematicae 5 Revista Matemática Iberoamericana 5 Russian Journal of Mathematical Physics 5 The Journal of Fourier Analysis and Applications 5 Abstract and Applied Analysis 5 Advances in Difference Equations 5 Communications in Computational Physics 5 Advances in Nonlinear Analysis 4 Journal of the Mechanics and Physics of Solids 4 Rocky Mountain Journal of Mathematics 4 Russian Mathematical Surveys 4 Acta Mathematica 4 Illinois Journal of Mathematics 4 Integral Equations and Operator Theory 4 Journal of the Mathematical Society of Japan 4 Manuscripta Mathematica 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Forum Mathematicum ...and 205 more Serials all top 5 Cited in 48 Fields 1,812 Partial differential equations (35-XX) 312 Dynamical systems and ergodic theory (37-XX) 291 Quantum theory (81-XX) 219 Fluid mechanics (76-XX) 175 Optics, electromagnetic theory (78-XX) 168 Statistical mechanics, structure of matter (82-XX) 157 Numerical analysis (65-XX) 115 Operator theory (47-XX) 104 Ordinary differential equations (34-XX) 71 Mechanics of deformable solids (74-XX) 55 Functional analysis (46-XX) 49 Global analysis, analysis on manifolds (58-XX) 45 Difference and functional equations (39-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 40 Mechanics of particles and systems (70-XX) 34 Differential geometry (53-XX) 27 Real functions (26-XX) 23 Biology and other natural sciences (92-XX) 22 Probability theory and stochastic processes (60-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Integral equations (45-XX) 11 Approximations and expansions (41-XX) 11 Relativity and gravitational theory (83-XX) 11 Geophysics (86-XX) 9 Special functions (33-XX) 9 Systems theory; control (93-XX) 8 Astronomy and astrophysics (85-XX) 6 Combinatorics (05-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 3 Measure and integration (28-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-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