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Author ID: de-bouard.anne Recent zbMATH articles by "de Bouard, Anne"
Published as: de Bouard, Anne; de Bouard, A.; Bouard, Anne de; De Bouard, Anne; De Bouard, A.

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 927 times in 621 Documents Cited by Year
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
127
1997
The stochastic nonlinear Schrödinger equation in \(H^1\). Zbl 1027.60065
de Bouard, A.; Debussche, A.
80
2003
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
65
1997
A stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 0952.60061
de Bouard, A.; Debussche, A.
64
1999
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125
Bergé, L.; de Bouard, A.; Saut, J. C.
47
1995
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
45
1997
On the stochastic Korteweg-de Vries equation. Zbl 0912.60074
de Bouard, A.; Debussche, A.
45
1998
White noise driven Korteweg-de Vries equation. Zbl 0952.60062
de Bouard, A.; Debussche, A.; Tsutsumi, Y.
36
1999
Weak and strong order of convergence of a semidiscrete scheme for the stochastic nonlinear Schrödinger equation. Zbl 1109.60051
de Bouard, Anne; Debussche, Arnaud
34
2006
Blowup for the stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1068.35191
de Bouard, Anne; Debussche, Arnaud
33
2005
On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation. Zbl 1008.35074
de Bouard, A.; Debussche, A.
30
2002
A semi-discrete scheme for the stochastic nonlinear Schrödinger equation. Zbl 1055.65008
de Bouard, A.; Debussche, A.
28
2004
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1085.35123
de Bouard, Anne; Fukuizumi, Reika
27
2005
Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations. Zbl 0843.35098
de Bouard, Anne; Hayashi, Nakao; Kato, Keiichi
24
1995
The nonlinear Schrödinger equation with white noise dispersion. Zbl 1193.35213
de Bouard, Anne; Debussche, Arnaud
24
2010
Stability and instability of some nonlinear dispersive solitary waves in higher dimension. Zbl 0861.35094
de Bouard, Anne
23
1996
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
18
1996
Analytic solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0798.35138
de Bouard, Anne
16
1993
Instability of stationary bubbles. Zbl 0823.35017
de Bouard, Anne
14
1995
Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121
De Bouard, A.; Debussche, A.; Tsutsumi, Y.
13
2004
Nonlinear Schrödinger equations with magnetic fields. Zbl 0727.35129
de Bouard, Anne
12
1991
Long wave expansions for water waves over random topography. Zbl 1228.76029
de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine
12
2008
Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation. Zbl 1330.35389
de Bouard, Anne; Martel, Yvan
11
2004
Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion. Zbl 1314.35159
Belaouar, Radoin; de Bouard, Anne; Debussche, Arnaud
10
2015
A semi-discrete scheme for the stochastic Landau-Lifshitz equation. Zbl 1332.35348
Alouges, François; de Bouard, Anne; Hocquet, Antoine
9
2014
The Korteweg-de Vries equation with multiplicative homogeneous noise. Zbl 1137.35086
de Bouard, Anne; Debussche, Arnaud
9
2007
Representation formula for stochastic Schrödinger evolution equations and applications. Zbl 1256.35145
de Bouard, Anne; Fukuizumi, Reika
8
2012
The nonlinear Schrödinger equation driven by jump processes. Zbl 1480.60255
de Bouard, Anne; Hausenblas, Erika
7
2019
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
7
1999
Random modulation of solitons for the stochastic Korteweg-de Vries equation. Zbl 1158.60359
de Bouard, A.; Debussche, A.
7
2007
A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers. Zbl 1261.35156
de Bouard, A.; Gazeau, M.
6
2012
On the solitary-waves of Kadomtsev-Petviashvili equations. (Sur les ondes solitaires des équations de Kadomtsev-Petviashvili.) Zbl 0833.35028
de Bouard, Anne; Saut, Jean-Claude
5
1995
Long time behavior of Gross-Pitaevskii equation at positive temperature. Zbl 1406.35376
de Bouard, Anne; Debussche, Arnaud; Fukuizumi, Reika
3
2018
Uniqueness of the nonlinear Schrödinger equation driven by jump processes. Zbl 1418.60073
de Bouard, Anne; Hausenblas, Erika; Ondreját, Martin
3
2019
Modulation analysis for a stochastic NLS equation arising in Bose-Einstein condensation. Zbl 1180.35590
de Bouard, Anne; Fukuizumi, Reika
3
2009
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise. Zbl 1185.35222
de Bouard, Anne; Debussche, Arnaud
3
2009
Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise. Zbl 1185.35246
de Bouard, Anne; Gautier, Eric
3
2010
Collapse of Chern-Simons-gauged matter fields. Zbl 1020.81698
Bergé, L.; de Bouard, A.; Saut, J.-C.
3
1995
Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations. Zbl 0989.65002
de Bouard, A.; Debussche, A.; Di Menza, L.
3
2001
Finite-time blow-up in the additive supercritical stochastic nonlinear Schrödinger equation: The real noise case. Zbl 1017.35105
de Bouard, A.; Debussche, A.
2
2002
Stochastic fluctuations in the Gross-Pitaevskii equation. Zbl 1133.35096
de Bouard, Anne; Fukuizumi, Reika
2
2007
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. Zbl 1481.35030
Alouges, François; de Bouard, Anne; Merlet, Benoît; Nicolas, Léa
2
2021
Langmuir solitary waves in a weakly magnetized plasma. Zbl 0890.35142
de Bouard, A.; Saut, J. C.
1
1997
Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time. Zbl 1325.35205
Poncet, Romain; Fukuizumi, Reika; Bouard, Anne de
1
2015
Construction of solutions for supercritical PDEs with random initial data (after N. Burq and N. Tzvetkov). (Construction de solutions pour des EDP sur-critiques à données initiales aléatoires (d’après N. Burq et N. Tzvetkov).) Zbl 1356.35006
de Bouard, Anne
1
2015
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation. Zbl 1467.60046
De Bouard, Anne; Hocquet, Antoine; Prohl, Andreas
1
2021
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. Zbl 1481.35030
Alouges, François; de Bouard, Anne; Merlet, Benoît; Nicolas, Léa
2
2021
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation. Zbl 1467.60046
De Bouard, Anne; Hocquet, Antoine; Prohl, Andreas
1
2021
The nonlinear Schrödinger equation driven by jump processes. Zbl 1480.60255
de Bouard, Anne; Hausenblas, Erika
7
2019
Uniqueness of the nonlinear Schrödinger equation driven by jump processes. Zbl 1418.60073
de Bouard, Anne; Hausenblas, Erika; Ondreját, Martin
3
2019
Long time behavior of Gross-Pitaevskii equation at positive temperature. Zbl 1406.35376
de Bouard, Anne; Debussche, Arnaud; Fukuizumi, Reika
3
2018
Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion. Zbl 1314.35159
Belaouar, Radoin; de Bouard, Anne; Debussche, Arnaud
10
2015
Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time. Zbl 1325.35205
Poncet, Romain; Fukuizumi, Reika; Bouard, Anne de
1
2015
Construction of solutions for supercritical PDEs with random initial data (after N. Burq and N. Tzvetkov). (Construction de solutions pour des EDP sur-critiques à données initiales aléatoires (d’après N. Burq et N. Tzvetkov).) Zbl 1356.35006
de Bouard, Anne
1
2015
A semi-discrete scheme for the stochastic Landau-Lifshitz equation. Zbl 1332.35348
Alouges, François; de Bouard, Anne; Hocquet, Antoine
9
2014
Representation formula for stochastic Schrödinger evolution equations and applications. Zbl 1256.35145
de Bouard, Anne; Fukuizumi, Reika
8
2012
A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers. Zbl 1261.35156
de Bouard, A.; Gazeau, M.
6
2012
The nonlinear Schrödinger equation with white noise dispersion. Zbl 1193.35213
de Bouard, Anne; Debussche, Arnaud
24
2010
Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise. Zbl 1185.35246
de Bouard, Anne; Gautier, Eric
3
2010
Modulation analysis for a stochastic NLS equation arising in Bose-Einstein condensation. Zbl 1180.35590
de Bouard, Anne; Fukuizumi, Reika
3
2009
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise. Zbl 1185.35222
de Bouard, Anne; Debussche, Arnaud
3
2009
Long wave expansions for water waves over random topography. Zbl 1228.76029
de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine
12
2008
The Korteweg-de Vries equation with multiplicative homogeneous noise. Zbl 1137.35086
de Bouard, Anne; Debussche, Arnaud
9
2007
Random modulation of solitons for the stochastic Korteweg-de Vries equation. Zbl 1158.60359
de Bouard, A.; Debussche, A.
7
2007
Stochastic fluctuations in the Gross-Pitaevskii equation. Zbl 1133.35096
de Bouard, Anne; Fukuizumi, Reika
2
2007
Weak and strong order of convergence of a semidiscrete scheme for the stochastic nonlinear Schrödinger equation. Zbl 1109.60051
de Bouard, Anne; Debussche, Arnaud
34
2006
Blowup for the stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 1068.35191
de Bouard, Anne; Debussche, Arnaud
33
2005
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1085.35123
de Bouard, Anne; Fukuizumi, Reika
27
2005
A semi-discrete scheme for the stochastic nonlinear Schrödinger equation. Zbl 1055.65008
de Bouard, A.; Debussche, A.
28
2004
Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121
De Bouard, A.; Debussche, A.; Tsutsumi, Y.
13
2004
Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation. Zbl 1330.35389
de Bouard, Anne; Martel, Yvan
11
2004
The stochastic nonlinear Schrödinger equation in \(H^1\). Zbl 1027.60065
de Bouard, A.; Debussche, A.
80
2003
On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation. Zbl 1008.35074
de Bouard, A.; Debussche, A.
30
2002
Finite-time blow-up in the additive supercritical stochastic nonlinear Schrödinger equation: The real noise case. Zbl 1017.35105
de Bouard, A.; Debussche, A.
2
2002
Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations. Zbl 0989.65002
de Bouard, A.; Debussche, A.; Di Menza, L.
3
2001
A stochastic nonlinear Schrödinger equation with multiplicative noise. Zbl 0952.60061
de Bouard, A.; Debussche, A.
64
1999
White noise driven Korteweg-de Vries equation. Zbl 0952.60062
de Bouard, A.; Debussche, A.; Tsutsumi, Y.
36
1999
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
7
1999
On the stochastic Korteweg-de Vries equation. Zbl 0912.60074
de Bouard, A.; Debussche, A.
45
1998
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
127
1997
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
65
1997
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
45
1997
Langmuir solitary waves in a weakly magnetized plasma. Zbl 0890.35142
de Bouard, A.; Saut, J. C.
1
1997
Stability and instability of some nonlinear dispersive solitary waves in higher dimension. Zbl 0861.35094
de Bouard, Anne
23
1996
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
18
1996
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125
Bergé, L.; de Bouard, A.; Saut, J. C.
47
1995
Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations. Zbl 0843.35098
de Bouard, Anne; Hayashi, Nakao; Kato, Keiichi
24
1995
Instability of stationary bubbles. Zbl 0823.35017
de Bouard, Anne
14
1995
On the solitary-waves of Kadomtsev-Petviashvili equations. (Sur les ondes solitaires des équations de Kadomtsev-Petviashvili.) Zbl 0833.35028
de Bouard, Anne; Saut, Jean-Claude
5
1995
Collapse of Chern-Simons-gauged matter fields. Zbl 1020.81698
Bergé, L.; de Bouard, A.; Saut, J.-C.
3
1995
Analytic solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0798.35138
de Bouard, Anne
16
1993
Nonlinear Schrödinger equations with magnetic fields. Zbl 0727.35129
de Bouard, Anne
12
1991
all top 5

Cited by 680 Authors

16 Debussche, Arnaud
15 de Bouard, Anne
14 Deng, Yinbin
14 Hong, Jialin
14 Saut, Jean-Claude
12 Tang, Xianhua
11 Guo, Boling
10 Guo, Yuxia
10 Huh, Hyungjin
10 Liu, Yue
9 Esfahani, Amin
9 Tang, Zhongwei
8 Chen, Jianhua
8 Chen, Jianqing
8 Chen, Yong
8 Hoshino, Gaku
8 Liu, Jiaquan
8 Naumkin, Pavel Ivanovich
8 Wang, Youjun
8 Wang, Zhi-Qiang
7 Brzeźniak, Zdzisław
7 Cheng, Bitao
7 Gao, Hongjun
7 Hausenblas, Erika
7 Hayashi, Nakao
7 Klein, Christian
7 Niu, Miaomiao
7 Oh, Tadahiro
7 Röckner, Michael
7 Zhang, Deng
6 Chen, Caisheng
6 Da Silva, Edcarlos Domingos
6 Lisei, Hannelore
6 Roudenko, Svetlana
6 Wu, Xian
5 Barbu, Viorel
5 Cui, Jianbo
5 Guyenne, Philippe
5 Himonas, A. Alexandrou
5 Huang, Jianhua
5 Huang, Wentao
5 Jentzen, Arnulf
5 Kaikina, Elena Igorevna
5 Larsson, Stig
5 Linares, Felipe
5 Mariş, Mihai
5 Miyagaki, Olimpio Hiroshi
5 Ozawa, Tohru
5 Peng, Shuangjie
5 Pomponio, Alessio
5 Shen, Yaotian
5 Tang, Chunlei
5 Wang, Guolian
5 Yang, Minbo
4 Cheng, Yongkuan
4 Chiron, David
4 Craig, Walter
4 Duan, Jinqiao
4 Fukuizumi, Reika
4 Gautier, Eric
4 Guo, Chunxiao
4 Hornung, Fabian
4 Levandosky, Steve
4 Liu, Zhihui
4 Mizumachi, Tetsu
4 Muñoz, Claudio
4 Ohta, Masahito
4 Pastor, Ademir
4 Petronilho, Gerson
4 Pilod, Didier
4 Poppenberg, Markus
4 Razafimandimby, Paul André
4 Song, Songhe
4 Sulem, Catherine
4 Tzvetkov, Nikolay
4 Wang, Jixiu
4 Wang, Xu
4 Yan, Wei
3 Alves, Claudianor Oliveira
3 Bona, Jerry Lloyd
3 Chen, Chuchu
3 De Moor, Sylvain
3 Dinh, Van Duong
3 Ekren, Ibrahim
3 Fan, Chenjie
3 Fang, Daoyuan
3 Farah, Luiz Gustavo
3 Figueiredo, Giovany Malcher
3 Gao, Fengshuang
3 Genoud, François
3 Goubet, Olivier
3 Grecksch, Wilfried
3 Han, Yongqian
3 Hocquet, Antoine
3 Huang, Xianjiu
3 Juárez-Campos, Beatriz
3 Keller, Diana
3 Kenig, Carlos Eduardo
3 Kikuchi, Hiroaki
3 Kim, Jong Uhn
...and 580 more Authors
all top 5

Cited in 159 Serials

53 Journal of Differential Equations
34 Journal of Mathematical Physics
32 Journal of Mathematical Analysis and Applications
17 Discrete and Continuous Dynamical Systems
14 Applied Mathematics and Computation
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Communications in Mathematical Physics
13 Journal of Functional Analysis
12 Stochastic and Partial Differential Equations. Analysis and Computations
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Communications in Partial Differential Equations
11 Complex Variables and Elliptic Equations
10 NoDEA. Nonlinear Differential Equations and Applications
10 Communications on Pure and Applied Analysis
9 Stochastic Analysis and Applications
9 Physica D
8 Applicable Analysis
8 Archive for Rational Mechanics and Analysis
8 Journal of Nonlinear Science
7 Transactions of the American Mathematical Society
7 Calculus of Variations and Partial Differential Equations
6 Nonlinearity
6 BIT
6 Applied Mathematics Letters
6 Journal of Scientific Computing
6 Discrete and Continuous Dynamical Systems. Series B
6 Boundary Value Problems
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Mathematics of Computation
4 Inventiones Mathematicae
4 Proceedings of the American Mathematical Society
4 Quarterly of Applied Mathematics
4 The Annals of Applied Probability
4 SIAM Journal on Mathematical Analysis
4 Stochastic Processes and their Applications
4 Potential Analysis
4 SIAM Journal on Scientific Computing
4 Journal of Evolution Equations
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Stochastics and Dynamics
4 Journal of Fixed Point Theory and Applications
4 Discrete and Continuous Dynamical Systems. Series S
4 Science China. Mathematics
4 AIMS Mathematics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 The Annals of Probability
3 Journal of Computational and Applied Mathematics
3 SIAM Journal on Numerical Analysis
3 Acta Applicandae Mathematicae
3 Acta Mathematicae Applicatae Sinica. English Series
3 Probability Theory and Related Fields
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Electronic Journal of Differential Equations (EJDE)
3 Abstract and Applied Analysis
3 European Journal of Mechanics. B. Fluids
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications in Contemporary Mathematics
3 Annales Henri Poincaré
3 Nonlinear Analysis. Real World Applications
3 Advanced Nonlinear Studies
3 Milan Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Advances in Nonlinear Analysis
3 Open Mathematics
2 Letters in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Functional Analysis and its Applications
2 Indiana University Mathematics Journal
2 Zeitschrift für Analysis und ihre Anwendungen
2 Applied Mathematics and Mechanics. (English Edition)
2 Chinese Annals of Mathematics. Series B
2 Asymptotic Analysis
2 Journal of Dynamics and Differential Equations
2 Electronic Journal of Probability
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Chaos
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Multiscale Modeling & Simulation
2 Frontiers of Mathematics in China
2 Advances in Mathematical Physics
2 International Journal of Differential Equations
2 Mathematical Control and Related Fields
2 Séminaire Laurent Schwartz. EDP et Applications
2 Annales Henri Lebesgue
1 International Journal of Engineering Science
1 Journal of Fluid Mechanics
1 Wave Motion
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Illinois Journal of Mathematics
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
...and 59 more Serials

Citations by Year