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Andrew Comech
Andrew Comech
Associate Professor of Mathematics, Texas A&M University
Verified email at math.tamu.edu - Homepage
Title
Cited by
Cited by
Year
Purely nonlinear instability of standing waves with minimal energy
A Comech, D Pelinovsky
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2003
1072003
Symmetry and Dirac points in graphene spectrum
G Berkolaiko, A Comech
Journal of Spectral Theory 8 (3), 1099-1147, 2018
522018
On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D⋆⋆
G Berkolaiko, A Comech
Mathematical Modelling of Natural Phenomena 7 (2), 13-31, 2012
512012
On spectral stability of the nonlinear Dirac equation
N Boussaïd, A Comech
Journal of Functional Analysis 271 (6), 1462-1524, 2016
49*2016
Global attractor for a nonlinear oscillator coupled to the Klein–Gordon field
A Komech, A Komech
Archive for rational mechanics and analysis 185 (1), 105-142, 2007
472007
Stability of solitary waves and vortices in a 2D nonlinear Dirac model
J Cuevas–Maraver, PG Kevrekidis, A Saxena, A Comech, R Lan
Physical Review Letters 116 (21), 214101, 2016
462016
On linear instability of solitary waves for the nonlinear Dirac equation
A Comech, M Guan, S Gustafson
Annales de l'Institut Henri Poincare (C) Non Linear Analysis 31 (3), 639-654, 2014
392014
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
A Komech, A Komech
Annales de l'IHP Analyse non linéaire 26 (3), 855-868, 2009
352009
Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction
A Komech, A Komech
SIAM journal on mathematical analysis 42 (6), 2944-2964, 2010
342010
Nonlinear Dirac equation: Spectral stability of solitary waves
N Boussaïd, A Comech
American Mathematical Soc., 2019
302019
On global attraction to solitary waves for the Klein–Gordon field coupled to several nonlinear oscillators
A Komech, A Komech
Journal de mathématiques pures et appliquées 93 (1), 91-111, 2010
292010
Asymptotic stability of solitary waves in generalized Gross–Neveu model
A Comech, T Van Phan, A Stefanov
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (1), 157-196, 2017
272017
Optional regularity of fourier integral operators with one-sided folds
A Comech
Communications in partial differential equations 24 (7-8), 1263-1281, 1999
271999
Nonlinear instability of a critical traveling wave in the generalized Korteweg–de Vries equation
A Comech, S Cuccagna, DE Pelinovsky
SIAM journal on mathematical analysis 39 (1), 1-33, 2007
252007
On the global attraction to solitary waves for the Klein–Gordon equation coupled to a nonlinear oscillator
AI Komech, AA Komech
Comptes Rendus Mathematique 343 (2), 111-114, 2006
252006
Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
N Boussaid, A Comech
Journal of Functional Analysis 277 (12), 108289, 2019
232019
Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields
G Berkolaiko, A Comech, A Sukhtayev
Nonlinearity 28 (3), 577, 2015
202015
Solitary Waves of a-Symmetric Nonlinear Dirac Equation
J Cuevas-Maraver, PG Kevrekidis, A Saxena, F Cooper, A Khare, ...
IEEE Journal of Selected Topics in Quantum Electronics 22 (5), 67-75, 2015
182015
On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation
A Comech
arXiv preprint arXiv:1107.1763, 2011
182011
Solitary waves in the nonlinear Dirac equation
J Cuevas-Maraver, N Boussaïd, A Comech, R Lan, PG Kevrekidis, ...
Nonlinear Systems, Vol. 1: Mathematical Theory and Computational Methods, 89-143, 2018
172018
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