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Wahlén, Erik

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Author ID: wahlen.erik Recent zbMATH articles by "Wahlén, Erik"
Published as: Wahlén, Erik; Wahlén, E.
External Links: MGP · ORCID
Documents Indexed: 43 Publications since 2004, including 1 Book

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 541 times in 318 Documents Cited by Year
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
86
2007
Steady water waves with a critical layer. Zbl 1159.76008
Wahlén, Erik
72
2009
Steady periodic capillary-gravity waves with vorticity. Zbl 1111.76007
Wahlén, Erik
33
2006
Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity. Zbl 1143.76398
Groves, M. D.; Wahlén, E.
32
2008
Steady water waves with multiple critical layers. Zbl 1337.76009
Ehrnström, Mats; Escher, Joachim; Wahlén, Erik
32
2011
A Hamiltonian formulation of water waves with constant vorticity. Zbl 1126.37055
Wahlén, Erik
29
2007
On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type. Zbl 1252.76014
Ehrnström, Mats; Groves, Mark D.; Wahlén, Erik
26
2012
Spatial dynamics methods for solitary gravity-capillary water waves with an arbitrary distribution of vorticity. Zbl 1139.76014
Groves, M. D.; Wahlén, E.
23
2007
Positive solutions of second-order differential equations. Zbl 1052.34043
Wahlén, Erik
22
2004
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008
Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E.
17
2013
Steady periodic capillary waves with vorticity. Zbl 1171.35312
Wahlén, Erik
15
2006
On rotational water waves with surface tension. Zbl 1152.76341
Wahlén, Erik
12
2007
Global existence of weak solutions to the Camassa-Holm equation. Zbl 1165.35453
Wahlén, Erik
11
2006
On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water. Zbl 1270.35365
Groves, M. D.; Wahlén, E.
11
2011
A note on steady gravity waves with vorticity. Zbl 1067.76014
Wahlén, Erik
11
2005
Trimodal steady water waves. Zbl 1441.35192
Ehrnström, Mats; Wahlén, Erik
10
2015
On Whitham’s conjecture of a highest cusped wave for a nonlocal dispersive equation. Zbl 1423.35059
Ehrnström, Mats; Wahlén, Erik
10
2019
Hamiltonian long-wave approximations of water waves with constant vorticity. Zbl 1220.76019
Wahlén, Erik
9
2008
Non-existence of three-dimensional travelling water waves with constant non-zero vorticity. Zbl 1416.76009
Wahlén, E.
9
2014
On the existence and conditional energetic stability of solitary water waves with weak surface tension. Zbl 1195.35094
Groves, Mark D.; Wahlén, E.
8
2010
A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267
Groves, M. D.; Sun, S. M.; Wahlén, E.
7
2016
A blow-up result for the periodic Camassa-Holm equation. Zbl 1126.35056
Wahlén, Erik
7
2005
Variational existence theory for hydroelastic solitary waves. (Une théorie variationnelle d’existence d’ondes solitaires hydroélastiques.) Zbl 1348.76036
Groves, Mark D.; Hewer, Benedikt; Wahlén, Erik
6
2016
On the blow-up of solutions to the periodic Camassa-Holm equation. Zbl 1171.35101
Wahlén, Erik
6
2007
Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333
Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik
5
2018
Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity. Zbl 1327.76029
Groves, M. D.; Wahlén, E.
5
2015
A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension. Zbl 1397.35199
Buffoni, Boris; Groves, Mark D.; Wahlén, Erik
5
2018
On the blow-up of solutions to a nonlinear dispersive rod equation. Zbl 1160.35528
Wahlén, Erik
5
2006
Uniqueness for autonomous planar differential equations and the Lagrangian formulation of water flows with vorticity. Zbl 1075.34004
Wahlén, Erik
5
2004
The interaction of peakons and antipeakons. Zbl 1099.35107
Wahlén, Erik
4
2006
On the fluid motion in standing waves. Zbl 1362.76012
Ehrnström, Mats; Wahlén, Erik
3
2008
On steady gravity waves with vorticity. Zbl 1080.35094
Wahlén, Erik
3
2004
Steady three-dimensional rotational flows : an approach via two stream functions and Nash-Moser iteration. Zbl 1406.35244
Buffoni, Boris; Wahlén, Erik
1
2019
A variational approach to solitary gravity-capillary interfacial waves with infinite depth. Zbl 1427.76038
Breit, D.; Wahlén, E.
1
2019
On Whitham’s conjecture of a highest cusped wave for a nonlocal dispersive equation. Zbl 1423.35059
Ehrnström, Mats; Wahlén, Erik
10
2019
Steady three-dimensional rotational flows : an approach via two stream functions and Nash-Moser iteration. Zbl 1406.35244
Buffoni, Boris; Wahlén, Erik
1
2019
A variational approach to solitary gravity-capillary interfacial waves with infinite depth. Zbl 1427.76038
Breit, D.; Wahlén, E.
1
2019
Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333
Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik
5
2018
A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension. Zbl 1397.35199
Buffoni, Boris; Groves, Mark D.; Wahlén, Erik
5
2018
A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267
Groves, M. D.; Sun, S. M.; Wahlén, E.
7
2016
Variational existence theory for hydroelastic solitary waves. (Une théorie variationnelle d’existence d’ondes solitaires hydroélastiques.) Zbl 1348.76036
Groves, Mark D.; Hewer, Benedikt; Wahlén, Erik
6
2016
Trimodal steady water waves. Zbl 1441.35192
Ehrnström, Mats; Wahlén, Erik
10
2015
Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity. Zbl 1327.76029
Groves, M. D.; Wahlén, E.
5
2015
Non-existence of three-dimensional travelling water waves with constant non-zero vorticity. Zbl 1416.76009
Wahlén, E.
9
2014
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008
Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E.
17
2013
On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type. Zbl 1252.76014
Ehrnström, Mats; Groves, Mark D.; Wahlén, Erik
26
2012
Steady water waves with multiple critical layers. Zbl 1337.76009
Ehrnström, Mats; Escher, Joachim; Wahlén, Erik
32
2011
On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water. Zbl 1270.35365
Groves, M. D.; Wahlén, E.
11
2011
On the existence and conditional energetic stability of solitary water waves with weak surface tension. Zbl 1195.35094
Groves, Mark D.; Wahlén, E.
8
2010
Steady water waves with a critical layer. Zbl 1159.76008
Wahlén, Erik
72
2009
Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity. Zbl 1143.76398
Groves, M. D.; Wahlén, E.
32
2008
Hamiltonian long-wave approximations of water waves with constant vorticity. Zbl 1220.76019
Wahlén, Erik
9
2008
On the fluid motion in standing waves. Zbl 1362.76012
Ehrnström, Mats; Wahlén, Erik
3
2008
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
86
2007
A Hamiltonian formulation of water waves with constant vorticity. Zbl 1126.37055
Wahlén, Erik
29
2007
Spatial dynamics methods for solitary gravity-capillary water waves with an arbitrary distribution of vorticity. Zbl 1139.76014
Groves, M. D.; Wahlén, E.
23
2007
On rotational water waves with surface tension. Zbl 1152.76341
Wahlén, Erik
12
2007
On the blow-up of solutions to the periodic Camassa-Holm equation. Zbl 1171.35101
Wahlén, Erik
6
2007
Steady periodic capillary-gravity waves with vorticity. Zbl 1111.76007
Wahlén, Erik
33
2006
Steady periodic capillary waves with vorticity. Zbl 1171.35312
Wahlén, Erik
15
2006
Global existence of weak solutions to the Camassa-Holm equation. Zbl 1165.35453
Wahlén, Erik
11
2006
On the blow-up of solutions to a nonlinear dispersive rod equation. Zbl 1160.35528
Wahlén, Erik
5
2006
The interaction of peakons and antipeakons. Zbl 1099.35107
Wahlén, Erik
4
2006
A note on steady gravity waves with vorticity. Zbl 1067.76014
Wahlén, Erik
11
2005
A blow-up result for the periodic Camassa-Holm equation. Zbl 1126.35056
Wahlén, Erik
7
2005
Positive solutions of second-order differential equations. Zbl 1052.34043
Wahlén, Erik
22
2004
Uniqueness for autonomous planar differential equations and the Lagrangian formulation of water flows with vorticity. Zbl 1075.34004
Wahlén, Erik
5
2004
On steady gravity waves with vorticity. Zbl 1080.35094
Wahlén, Erik
3
2004
all top 5

Cited by 237 Authors

23 Ehrnström, Mats
21 Martin, Calin-Iulian
20 Wahlén, Erik
17 Constantin, Adrian
13 Groves, Mark D.
13 Matioc, Bogdan-Vasile
9 Escher, Joachim
9 Kalisch, Henrik
8 Basu, Biswajit
8 Hur, Vera Mikyoung
8 Matioc, Anca-Voichita
8 Mustafa, Octavian G.
8 Walsh, Samuel
7 Hsu, Hung-Chu
7 Ivanov, Rossen I.
7 Wheeler, Miles H.
6 Kozlov, Vladimir A.
6 Kuznetsov, Nikolai Germanovich
6 Shen, Chunyu
5 Chen, Robin Ming
5 Chu, Jifeng
5 Fan, Lili
5 Ionescu-Kruse, Delia
5 Vanden-Broeck, Jean-Marc
4 Compelli, Alan C.
4 Gao, Hongjun
4 González, Cristóbal
4 Jiménez-Melado, Antonio
4 Johnson, Mathew A.
4 Kalimeris, Konstantinos
4 Kogelbauer, Florian
4 Lokharu, Evgeniy
4 Milewski, Paul A.
4 Nachbin, André
4 Nilsson, Dag Viktor
4 Pei, Long
4 Ribeiro-Junior, Roberto
4 Strauss, Walter Alexander
4 Vărvărucă, Eugen
4 Wang, Lingjun
4 Yin, Zhaoyang
3 Amann, Dominic
3 Chen, Yang-Yih
3 Djebali, Smail
3 Ellingsen, Simen A.
3 Gao, Anna
3 Haragus, Mariana
3 Ifrim, Mihaela
3 Părău, Emilian I.
3 Tataru, Daniel
3 Trichtchenko, Olga
3 Varholm, Kristoffer
3 Villari, Gabriele
3 Wang, Yuexun
3 Wang, Zhan
3 Yang, Yanjuan
3 Zong, Xiju
2 Abid, Malek
2 Agarwal, Ravi P.
2 Ali, Alfatih
2 Ambrose, David M.
2 Brandolese, Lorenzo
2 Buffoni, Boris
2 Carter, John D.
2 Deconinck, Bernard
2 Deng, Shengfu
2 Dinvay, Evgueni
2 Grunert, Katrin
2 Guo, Zhengguang
2 Guyenne, Philippe
2 Holden, Helge
2 Hwung, Hwung-Hweng
2 Johnson, Robin Stanley
2 Kharif, Christian
2 Lannes, David
2 Li, Meng-Syue
2 Lin, Zhiwu
2 Liu, Yue
2 Maehlen, Ola I. H.
2 Moldabayev, Daulet
2 Moussaoui, Toufik
2 Orpel, Aleksandra
2 Plotnikov, Pavel I.
2 Poláčik, Peter
2 Remonato, Filippo
2 Saut, Jean-Claude
2 Stuhlmeier, Raphael
2 Stylianou, Athanasios N.
2 Tian, Lixin
2 Tisdell, Christopher C.
2 Tyvand, Peder A.
2 Valdebenito, Darío A.
2 Weiss, Georg Sebastian
1 Aasen, Ailo
1 Aivaliotis, Alexios
1 Akers, Adelaide
1 Akers, Benjamin F.
1 Alazard, Thomas
1 Aleman, Alexandru
1 Arnesen, Mathias Nikolai
...and 137 more Authors
all top 5

Cited in 73 Serials

26 Journal of Differential Equations
22 Archive for Rational Mechanics and Analysis
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Fluid Mechanics
18 Journal of Mathematical Fluid Mechanics
17 Discrete and Continuous Dynamical Systems
17 Nonlinear Analysis. Real World Applications
11 Journal of Nonlinear Mathematical Physics
9 European Journal of Mechanics. B. Fluids
8 Journal of Mathematical Analysis and Applications
8 Wave Motion
7 Monatshefte für Mathematik
6 Communications in Mathematical Physics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Applicable Analysis
5 Nonlinearity
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Physica D
5 SIAM Journal on Mathematical Analysis
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Quarterly of Applied Mathematics
4 Journal of Dynamics and Differential Equations
4 Journal of Nonlinear Science
3 Journal of Mathematical Physics
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Applied Mathematics Letters
3 Journal of Evolution Equations
3 Water Waves
2 Communications on Pure and Applied Mathematics
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Acta Mathematica
2 Glasgow Mathematical Journal
2 Journal of Functional Analysis
2 Studies in Applied Mathematics
2 Abstract and Applied Analysis
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computers and Fluids
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Physics Letters. A
1 Arkiv för Matematik
1 Duke Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Mathematical Problems in Engineering
1 European Journal of Control
1 Annals of Mathematics. Second Series
1 Discrete and Continuous Dynamical Systems. Series B
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Analysis & PDE
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Analysis and Mathematical Physics
1 Mathematical Control and Related Fields
1 Forum of Mathematics, Sigma
1 Advances in Nonlinear Analysis

Citations by Year