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## Weinstein, Michael I.

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 Author ID: weinstein.michael-i Published as: Weinstein, M. I.; Weinstein, Michael I.; Weinstein, M.; Weinstein, Michael Homepage: http://www.columbia.edu/~miw2103/ External Links: MGP · dblp
 Documents Indexed: 107 Publications since 1983, including 2 Books 1 Further Contribution
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#### Co-Authors

 15 single-authored 9 Soffer, Avraham 8 Fefferman, Charles Louis 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 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 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
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#### Serials

 13 Communications in Mathematical Physics 10 SIAM Journal on Mathematical Analysis 7 Communications on Pure and Applied Mathematics 7 Physica D 7 Multiscale Modeling & Simulation 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
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#### Fields

 92 Partial differential equations (35-XX) 23 Optics, electromagnetic theory (78-XX) 22 Quantum theory (81-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 14 Statistical mechanics, structure of matter (82-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)

#### Citations contained in zbMATH Open

102 Publications have been cited 3,427 times in 2,037 Documents Cited by Year
Nonlinear Schrödinger equations and sharp interpolation estimates. Zbl 0527.35023
Weinstein, Michael I.
1983
Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005
Weinstein, Michael I.
1986
Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028
Weinstein, Michael I.
1985
Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067
Christ, F. M.; Weinstein, M. I.
1991
Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065
Pego, Robert L.; Weinstein, Michael I.
1992
Asymptotic stability of solitary waves. Zbl 0805.35117
Pego, Robert L.; Weinstein, Michael I.
1994
Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107
Soffer, A.; Weinstein, M. I.
1999
Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082
Soffer, A.; Weinstein, M. I.
1990
Between nilpotent and solvable. Zbl 0488.20001
1982
Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073
Soffer, A.; Weinstein, M. I.
1992
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022
Weinstein, Michael I.
1986
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040
Weinstein, Michael I.
1987
The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054
Schochet, Steven H.; Weinstein, Michael I.
1986
Honeycomb lattice potentials and Dirac points. Zbl 1316.35214
Fefferman, Charles L.; Weinstein, Michael I.
2012
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
1999
Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313
Soffer, A.; Weinstein, M. I.
2004
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
2008
On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202
Rose, Harvey A.; Weinstein, Michael I.
1988
Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195
Fefferman, Charles L.; Weinstein, Michael I.
2014
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031
Pego, Robert L.; Smereka, Peter; Weinstein, Michael I.
1993
Strong NLS soliton-defect interactions. Zbl 1061.35132
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2004
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
2014
A stable manifold theorem for the curve shortening equation. Zbl 0602.34026
Epstein, C. L.; Weinstein, M. I.
1987
Time dependent resonance theory. Zbl 0917.35023
Soffer, A.; Weinstein, M. I.
1998
Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102
Miller, Judith R.; Weinstein, Michael I.
1996
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479
Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I.
2008
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.
2002
Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033
Weinstein, Michael I.; Keller, Joseph B.
1987
Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015
Jackson, R. K.; Weinstein, M. I.
2004
Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061
Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I.
2018
Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015
Weinstein, Michael I.
1987
Edge states in honeycomb structures. Zbl 1404.35128
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
2016
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.
2008
Topologically protected states in one-dimensional systems. Zbl 1379.35076
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
2017
Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013
Simpson, G.; Spiegelman, M.; Weinstein, M. I.
2007
Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079
Pego, Robert L.; Weinstein, Michael I.
1997
Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502
Malomed, Boris; Weinstein, Michael I.
1996
Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130
Fibich, G.; Sivan, Y.; Weinstein, M. I.
2006
Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288
Marzuola, Jeremy L.; Weinstein, Michael I.
2010
Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124
Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I.
2014
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.
2019
Hill’s equation with a large potential. Zbl 0578.34038
Weinstein, Michael I.; Keller, Joseph B.
1985
Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032
Hoefer, M. A.; Weinstein, M. I.
2011
Dynamics of lattice kinks. Zbl 0954.35142
Kevrekidis, P. G.; Weinstein, M. I.
2000
Long-lived scattering resonances and Bragg structures. Zbl 1307.78009
Osting, Braxton; Weinstein, Michael I.
2013
Nonautonomous Hamiltonians. Zbl 0936.35148
Soffer, A.; Weinstein, M. I.
1998
Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060
Ilan, B.; Weinstein, M. I.
2010
Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064
Golowich, S. E.; Weinstein, M. I.
2005
Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014
Pego, R. L.; Smereka, P.; Weinstein, M. I.
1995
Optimization of scattering resonances. Zbl 1273.74045
Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I.
2008
Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2014
Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224
Gang, Zhou; Weinstein, Michael I.
2011
The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159
Weinstein, Michael I.
1989
Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074
Soffer, A.; Weinstein, M. I.
1989
Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. Zbl 1357.37087
Jenkinson, M.; Weinstein, M. I.
2016
Edge states and the valley Hall effect. Zbl 1442.82003
Drouot, A.; Weinstein, M. I.
2020
Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172
Duchêne, Vincent; Weinstein, Michael I.
2011
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
2003
Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524
Kirr, E.; Weinstein, M. I.
2001
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
1996
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.
2005
Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091
Kirr, E.; Weinstein, M. I.
2005
Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027
Kirr, E.; Weinstein, M. I.
2003
Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093
Pego, Robert L.; Weinstein, Michael I.
1993
Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023
Simpson, Gideon; Weinstein, Michael I.
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.
2008
Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085
Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I.
2011
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085
Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I.
2017
Resonances of a potential well with a thick barrier. Zbl 1312.34130
Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I.
2013
Defect modes for dislocated periodic media. Zbl 07220093
Drouot, A.; Fefferman, C. L.; Weinstein, M. I.
2020
Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103
Watson, Alexander; Weinstein, Michael I.
2018
Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010
Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I.
2012
Trapping light with grating defects. Zbl 1104.78008
Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M.
2005
On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093
Weinstein, Michael I.
1991
Metastability of breather modes of time-dependent potentials. Zbl 0979.37038
Miller, P. D.; Soffer, A.; Weinstein, M. I.
2000
On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101
Colin, Thierry; Weinstein, Michael I.
1996
On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029
Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip
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.
2010
Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099
Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I.
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.
2015
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.
2018
Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014
Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I.
2004
On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042
Pego, R. L.; Weinstein, M. I.
1995
On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074
Weinstein, Michael I.
1986
Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276
Jenkinson, M.; Weinstein, M. I.
2017
Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041
Kevrekidis, P. G.; Weinstein, M. I.
2003
Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049
Osting, Braxton; Weinstein, Michael I.
2011
Ionization and scattering for short-lived potentials. Zbl 0930.35113
Soffer, A.; Weinstein, M. I.
1999
Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118
Weinstein, M. I.
1996
Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180
Simpson, G.; Weinstein, M. I.
2011
Extended Hamiltonian systems. Zbl 1130.37398
Weinstein, M. I.
2006
Focusing singularity for the nonlinear Schrödinger equation. Zbl 0542.35028
Papanicolaou, G.; McLaughlin, D.; Weinstein, M.
1983
Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007
Golowich, S. E.; Weinstein, M. I.
2003
Transient radiative behavior of Hamiltonian systems in finite domains. Zbl 1345.37080
Rapti, Z.; Weinstein, M. I.; Kevrekidis, P. G.
2005
Dynamics of partial differential equations. Zbl 1331.35006
Wayne, C. Eugene; Weinstein, Michael I.
2015
Dirac operators and domain walls. Zbl 1442.35275
Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I.
2020
Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2015
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.
2013
Edge states and the valley Hall effect. Zbl 1442.82003
Drouot, A.; Weinstein, M. I.
2020
Defect modes for dislocated periodic media. Zbl 07220093
Drouot, A.; Fefferman, C. L.; Weinstein, M. I.
2020
Dirac operators and domain walls. Zbl 1442.35275
Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I.
2020
Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053
Fefferman, C. L.; Weinstein, M. I.
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.
2019
Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061
Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I.
2018
Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing. Zbl 1400.81103
Watson, Alexander; Weinstein, Michael I.
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.
2018
Topologically protected states in one-dimensional systems. Zbl 1379.35076
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
2017
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085
Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I.
2017
Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. Zbl 1397.35276
Jenkinson, M.; Weinstein, M. I.
2017
Edge states in honeycomb structures. Zbl 1404.35128
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
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.
2016
Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099
Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I.
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.
2015
Dynamics of partial differential equations. Zbl 1331.35006
Wayne, C. Eugene; Weinstein, Michael I.
2015
Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2015
Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195
Fefferman, Charles L.; Weinstein, Michael I.
2014
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
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.
2014
Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2014
Long-lived scattering resonances and Bragg structures. Zbl 1307.78009
Osting, Braxton; Weinstein, Michael I.
2013
Resonances of a potential well with a thick barrier. Zbl 1312.34130
Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I.
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.
2013
Honeycomb lattice potentials and Dirac points. Zbl 1316.35214
Fefferman, Charles L.; Weinstein, Michael I.
2012
Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010
Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I.
2012
Defect modes and homogenization of periodic Schrödinger operators. Zbl 1242.35032
Hoefer, M. A.; Weinstein, M. I.
2011
Equipartition of mass in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1228.35224
Gang, Zhou; Weinstein, Michael I.
2011
Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172
Duchêne, Vincent; Weinstein, Michael I.
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.
2011
Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation. Zbl 1227.49049
Osting, Braxton; Weinstein, Michael I.
2011
Coherent structures and carrier shocks in the nonlinear periodic Maxwell equations. Zbl 1348.74180
Simpson, G.; Weinstein, M. I.
2011
Radiative decay of bubble oscillations in a compressible fluid. Zbl 1230.35105
Shapiro, A. M.; Weinstein, M. I.
2011
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1223.35288
Marzuola, Jeremy L.; Weinstein, Michael I.
2010
Band-edge solitons, nonlinear Schrödinger/Gross-Pitaevskii equations, and effective media. Zbl 1213.35060
Ilan, B.; Weinstein, M. I.
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.
2010
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
2008
Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479
Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I.
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.
2008
Optimization of scattering resonances. Zbl 1273.74045
Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I.
2008
Asymptotic stability of ascending solitary magma waves. Zbl 1166.74023
Simpson, Gideon; Weinstein, Michael I.
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.
2008
On a Hamiltonian PDE arising in magma dynamics. Zbl 1152.74029
Simpson, Gideon; Weinstein, Michael I.; Rosenau, Philip
2008
Degenerate dispersive equations arising in the study of magma dynamics. Zbl 1177.86013
Simpson, G.; Spiegelman, M.; Weinstein, M. I.
2007
Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure. Zbl 1099.35130
Fibich, G.; Sivan, Y.; Weinstein, M. I.
2006
Extended Hamiltonian systems. Zbl 1130.37398
Weinstein, M. I.
2006
Scattering resonances of microstructures and homogenization theory. Zbl 1075.35064
Golowich, S. E.; Weinstein, M. I.
2005
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.
2005
Diffusion of power in randomly perturbed Hamiltonian partial differential equations. Zbl 1092.35091
Kirr, E.; Weinstein, M. I.
2005
Trapping light with grating defects. Zbl 1104.78008
Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M.
2005
Transient radiative behavior of Hamiltonian systems in finite domains. Zbl 1345.37080
Rapti, Z.; Weinstein, M. I.; Kevrekidis, P. G.
2005
Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313
Soffer, A.; Weinstein, M. I.
2004
Strong NLS soliton-defect interactions. Zbl 1061.35132
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2004
Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation. Zbl 1138.81015
Jackson, R. K.; Weinstein, M. I.
2004
Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014
Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I.
2004
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
2003
Metastable states in parametrically excited multimode Hamiltonian systems. Zbl 1033.81027
Kirr, E.; Weinstein, M. I.
2003
Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Zbl 1015.65041
Kevrekidis, P. G.; Weinstein, M. I.
2003
Theory and computation of scattering resonances of photonic microstructures. Zbl 1056.78007
Golowich, S. E.; Weinstein, M. I.
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.
2002
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Parametrically excited Hamiltonian partial differential equations. Zbl 1097.35524
Kirr, E.; Weinstein, M. I.
2001
Dynamics of lattice kinks. Zbl 0954.35142
Kevrekidis, P. G.; Weinstein, M. I.
2000
Metastability of breather modes of time-dependent potentials. Zbl 0979.37038
Miller, P. D.; Soffer, A.; Weinstein, M. I.
2000
Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107
Soffer, A.; Weinstein, M. I.
1999
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
1999
Ionization and scattering for short-lived potentials. Zbl 0930.35113
Soffer, A.; Weinstein, M. I.
1999
Time dependent resonance theory. Zbl 0917.35023
Soffer, A.; Weinstein, M. I.
1998
Nonautonomous Hamiltonians. Zbl 0936.35148
Soffer, A.; Weinstein, M. I.
1998
Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079
Pego, Robert L.; Weinstein, Michael I.
1997
Asymptotic stability of solitary waves for the regularized long-wave equation. Zbl 0854.35102
Miller, Judith R.; Weinstein, Michael I.
1996
Soliton dynamics in the discrete nonlinear Schrödinger equation. Zbl 0972.39502
Malomed, Boris; Weinstein, Michael I.
1996
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
1996
On the ground states of vector nonlinear Schrödinger equations. Zbl 0863.35101
Colin, Thierry; Weinstein, Michael I.
1996
Asymptotic stability of nonlinear bound states in conservative dispersive systems. Zbl 0860.35118
Weinstein, M. I.
1996
Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014
Pego, R. L.; Smereka, P.; Weinstein, M. I.
1995
On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042
Pego, R. L.; Weinstein, M. I.
1995
Asymptotic stability of solitary waves. Zbl 0805.35117
Pego, Robert L.; Weinstein, Michael I.
1994
Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031
Pego, Robert L.; Smereka, Peter; Weinstein, Michael I.
1993
Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093
Pego, Robert L.; Weinstein, Michael I.
1993
Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065
Pego, Robert L.; Weinstein, Michael I.
1992
Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073
Soffer, A.; Weinstein, M. I.
1992
Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation. Zbl 0743.35067
Christ, F. M.; Weinstein, M. I.
1991
On the vortex solutions of some nonlinear scalar field equations. Zbl 0732.35093
Weinstein, Michael I.
1991
Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082
Soffer, A.; Weinstein, M. I.
1990
The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Zbl 0703.35159
Weinstein, Michael I.
1989
Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074
Soffer, A.; Weinstein, M. I.
1989
On the bound states of the nonlinear Schrödinger equation with a linear potential. Zbl 0694.35202
Rose, Harvey A.; Weinstein, Michael I.
1988
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Zbl 0657.73040
Weinstein, Michael I.
1987
A stable manifold theorem for the curve shortening equation. Zbl 0602.34026
Epstein, C. L.; Weinstein, M. I.
1987
Asymptotic behavior of stability regions for Hill’s equation. Zbl 0652.34033
Weinstein, Michael I.; Keller, Joseph B.
1987
Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities. Zbl 0636.35015
Weinstein, Michael I.
1987
Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005
Weinstein, Michael I.
1986
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations. Zbl 0596.35022
Weinstein, Michael I.
1986
The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Zbl 0639.76054
Schochet, Steven H.; Weinstein, Michael I.
1986
On the solitary traveling wave of the generalized Korteweg-de Vries equation. Zbl 0593.35074
Weinstein, Michael I.
1986
Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028
Weinstein, Michael I.
1985
Hill’s equation with a large potential. Zbl 0578.34038
Weinstein, Michael I.; Keller, Joseph B.
1985
Nonlinear Schrödinger equations and sharp interpolation estimates. Zbl 0527.35023
Weinstein, Michael I.
1983
...and 2 more Documents
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#### Cited by 1,976 Authors

 42 Zhang, Jian 41 Weinstein, Michael I. 33 Merle, Frank 30 Martel, Yvan 30 Pelinovsky, Dmitry Efimovich 27 Komech, Alexander Ilich 25 Raphael, Pierre 24 Cuccagna, Scipio 24 Guo, Boling 24 Zumbrun, Kevin R. 22 Nguyen, Hoai-Minh 21 Kopylova, Elena A. 21 Muñoz, Claudio 20 Zhu, Shihui 18 Kevrekidis, Panayotis G. 18 Liu, Hongyu 17 Gan, Zaihui 17 Ohta, Masahito 15 Bao, Weizhu 14 Angulo Pava, Jaime 14 Fibich, Gadi 14 Guo, Yujin 14 Marzuola, Jeremy L. 13 Goodman, Roy H. 13 Holmer, Justin 13 Maeda, Masaya 13 Roudenko, Svetlana 12 Dinh, Van Duong 12 Li, Jichun 12 Pastor, Ademir 12 Saanouni, Tarek 12 Zeng, Xiaoyu 11 Cai, Yongyong 11 Comech, Andrew 11 Il’ichev, Andreĭ Teĭmurazovich 11 Kang, Hyeonbae 11 Li, Hongjie 11 Ozawa, Tohru 10 Adami, Riccardo 10 Bona, Jerry Lloyd 10 Chen, Jianqing 10 Dohnal, Tomáš 10 Duran, Angel 10 Humpherys, Jeffrey 10 Johnson, Mathew A. 10 Miao, Changxing 10 Murphy, Jason 10 Schneider, Guido 10 Soffer, Avraham 10 Zhang, Weiguo 10 Zheng, Jiqiang 9 Ammari, Habib M. 9 Georgiev, Vladimir S. 9 Li, Xiaoguang 9 Mizumachi, Tetsu 9 Nakanishi, Kenji 9 Natali, Fábio M. Amorin 9 Segata, Jun-ichi 9 Shu, Ji 9 Stuart, David M. A. 9 Visan, Monica 9 Xu, Guixiang 9 Zhou, Huan-Song 8 Borrelli, William 8 Colin, Thierry 8 Côte, Raphaël 8 Farah, Luiz Gustavo 8 Ghazaryan, Anna 8 Huang, Juan 8 Huang, Yunqing 8 Latushkin, Yuri 8 Lemou, Mohammed 8 Lenzmann, Enno 8 Lewin, Mathieu 8 Malomed, Boris A. 8 Noja, Diego 8 Ponce, Gustavo 8 Sacchetti, Andrea 8 Stefanov, Atanas G. 8 Uhlmann, Gunther Alberto 8 Yang, Jianke 7 Barker, Blake 7 Cacciapuoti, Claudio 7 Chen, Guanggan 7 Craster, Richard V. 7 Deng, Youjun 7 Dodson, Benjamin G. 7 Drouot, Alexis 7 Hayashi, Nakao 7 Karachalios, Nikos I. 7 Kenig, Carlos Eduardo 7 Killip, Rowan 7 Lassas, Matti J. 7 Lebowitz, Joel Louis 7 Linares, Felipe 7 Liu, Yue 7 Nawa, Hayato 7 Sigal, Israel Michael 7 Simpson, Gideon 7 Squassina, Marco ...and 1,876 more Authors
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#### Cited in 300 Serials

 115 Journal of Differential Equations 108 Physica D 104 Journal of Mathematical Physics 97 Communications in Mathematical Physics 80 Journal of Mathematical Analysis and Applications 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Communications in Partial Differential Equations 48 Archive for Rational Mechanics and Analysis 47 Journal of Functional Analysis 43 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 42 SIAM Journal on Mathematical Analysis 42 Discrete and Continuous Dynamical Systems 28 Transactions of the American Mathematical Society 25 Applied Mathematics and Computation 25 Calculus of Variations and Partial Differential Equations 24 Applicable Analysis 23 Communications on Pure and Applied Analysis 22 Nonlinearity 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Journal of Nonlinear Science 18 Studies in Applied Mathematics 17 Chaos 16 Journal of Computational Physics 16 Proceedings of the American Mathematical Society 15 Communications on Pure and Applied Mathematics 15 Reviews in Mathematical Physics 14 Applied Mathematics Letters 14 Communications in Nonlinear Science and Numerical Simulation 13 Advances in Mathematics 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 SIAM Journal on Applied Mathematics 13 NoDEA. Nonlinear Differential Equations and Applications 13 Annales Henri Poincaré 13 Nonlinear Analysis. Theory, Methods & Applications 12 Computers & Mathematics with Applications 11 Journal of Statistical Physics 11 Wave Motion 11 Mathematische Annalen 11 Journal of Dynamics and Differential Equations 11 Nonlinear Analysis. Real World Applications 10 Letters in Mathematical Physics 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Acta Mathematica Sinica. English Series 10 Journal of Evolution Equations 10 Discrete and Continuous Dynamical Systems. Series B 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Séminaire Laurent Schwartz. EDP et Applications 9 Journal of Fluid Mechanics 9 Mathematical Methods in the Applied Sciences 9 Theoretical and Mathematical Physics 9 Mathematics of Computation 9 Duke Mathematical Journal 9 Inventiones Mathematicae 9 Acta Mathematicae Applicatae Sinica. English Series 9 Communications in Contemporary Mathematics 8 Journal d’Analyse Mathématique 8 Journal of Computational and Applied Mathematics 8 Journal of Scientific Computing 8 Multiscale Modeling & Simulation 8 Journal of Hyperbolic Differential Equations 8 Journal of Physics A: Mathematical and Theoretical 8 Discrete and Continuous Dynamical Systems. Series S 7 Physics Letters. A 7 Mathematics and Computers in Simulation 7 Quarterly of Applied Mathematics 7 Applied Numerical Mathematics 7 Journal of the American Mathematical Society 7 European Journal of Applied Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 SIAM Journal on Applied Dynamical Systems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Chaos, Solitons and Fractals 6 Chinese Annals of Mathematics. Series B 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Physics of Fluids 6 Science China. Mathematics 5 Monatshefte für Mathematik 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics and Mechanics. (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 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 Manuscripta Mathematica 4 Mathematische Nachrichten 4 Forum Mathematicum 4 Computational Mathematics and Mathematical Physics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Doklady Mathematics 4 Journal of High Energy Physics ...and 200 more Serials
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#### Cited in 48 Fields

 1,738 Partial differential equations (35-XX) 300 Dynamical systems and ergodic theory (37-XX) 282 Quantum theory (81-XX) 210 Fluid mechanics (76-XX) 164 Optics, electromagnetic theory (78-XX) 158 Statistical mechanics, structure of matter (82-XX) 151 Numerical analysis (65-XX) 107 Operator theory (47-XX) 102 Ordinary differential equations (34-XX) 68 Mechanics of deformable solids (74-XX) 52 Functional analysis (46-XX) 48 Global analysis, analysis on manifolds (58-XX) 43 Difference and functional equations (39-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 40 Mechanics of particles and systems (70-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 34 Differential geometry (53-XX) 22 Real functions (26-XX) 22 Biology and other natural sciences (92-XX) 21 Probability theory and stochastic processes (60-XX) 12 Integral equations (45-XX) 12 Classical thermodynamics, heat transfer (80-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 Computer science (68-XX) 4 Manifolds and cell complexes (57-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)