| The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities J Giannoulis, A Mielke Nonlinearity 17 (2), 551, 2003 | 71 | 2003 |
| Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data L Ambrosio, A Figalli, G Friesecke, J Giannoulis, T Paul Communications on Pure and Applied Mathematics 64 (9), 1199-1242, 2011 | 58 | 2011 |
| Analysis, modeling and simulation of multiscale problems A Mielke, A Mielke Springer, 2006 | 44 | 2006 |
| Dispersive evolution of pulses in oscillator chains with general interaction potentials J Giannoulis, A Mielke WIAS, 2005 | 38 | 2005 |
| Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential J Giannoulis, A Mielke, C Sparber Journal of Differential Equations 245 (4), 939-963, 2008 | 27 | 2008 |
| Continuum descriptions for the dynamics in discrete lattices: derivation and justification J Giannoulis, M Herrmann, A Mielke Analysis, modeling and simulation of multiscale problems, 435-466, 2006 | 25 | 2006 |
| Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions L Ambrosio, G Friesecke, J Giannoulis Communications in Partial Differential Equations 35 (8), 1490-1515, 2010 | 24 | 2010 |
| Lagrangian and Hamiltonian two-scale reduction J Giannoulis, M Herrmann, A Mielke Journal of mathematical physics 49 (10), 2008 | 11 | 2008 |
| High-frequency averaging in semi-classical Hartree-type equations J Giannoulis, A Mielke, C Sparber Asymptotic Analysis 70 (1-2), 87-100, 2010 | 10 | 2010 |
| Interaction of modulated pulses in scalar multidimensional nonlinear lattices J Giannoulis Applicable Analysis 89 (9), 1413-1445, 2010 | 6 | 2010 |
| Macroscopic dynamics of an oscillator chain described by the nonlinear Schrödinger equation J Giannoulis, A Mielke preprint, Institut für Analysis, Dynamik und Modellierung, University of …, 2004 | 6 | 2004 |
| Interaction of modulated gravity water waves of finite depth I Giannoulis Journal of Differential Equations 261 (7), 3864-3892, 2016 | 1 | 2016 |
| Transport and generation of macroscopically modulated waves in diatomic chains J Giannoulis arXiv preprint arXiv:1105.1552, 2011 | 1 | 2011 |
| Three‐wave interaction in discrete lattices J Giannoulis PAMM: Proceedings in Applied Mathematics and Mechanics 6 (1), 475-476, 2006 | 1 | 2006 |
| Young‐measure solutions to a generalized Benjamin–Bona–Mahony equation J Giannoulis Mathematical methods in the applied sciences 28 (5), 607-629, 2005 | 1 | 2005 |
| Macroscopic pulse evolution for a nonlinear oscillator chain J Giannoulis, A Mielke PAMM: Proceedings in Applied Mathematics and Mechanics 4 (1), 540-541, 2004 | 1 | 2004 |
| NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity I Giannoulis, B Schmidt, G Schneider arXiv preprint arXiv:2401.14947, 2024 | | 2024 |
| Formal derivation and analytical justification of modulation equations IJ Giannoulis | | 2016 |
| Corrigendum: Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data A Figalli, L Ambrosio, T Paul, I Giannoulis, G Friesecke Wiley for Wiley Periodicals, 2013 | | 2013 |
| Reduction of effective Hamiltonian structures for interacting pulses in nonlinear lattices J Giannoulis Equadiff 2007, 2007 | | 2007 |
Alexander MielkeWeierstraß-Institut für Angewandte Analysis und StochastikVerified email at wias-berlin.de
