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Author ID: constantin.adrian Recent zbMATH articles by "Constantin, Adrian"
Published as: Constantin, Adrian; Constantin, A.
Homepage: https://ufind.univie.ac.at/de/person.html?id=36146
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Serials

10 Archive for Rational Mechanics and Analysis
9 Journal of Fluid Mechanics
6 Communications on Pure and Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Differential Equations
6 Journal of Nonlinear Mathematical Physics
5 Geophysical and Astrophysical Fluid Dynamics
4 Communications in Mathematical Physics
4 Physics Letters. A
4 Analele Universității din Timișoara. Științe Matematice
4 Discrete and Continuous Dynamical Systems
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Mathematische Annalen
3 Comptes Rendus Mathématiques de l’Académie des Sciences
3 Stochastic Analysis and Applications
3 Differential and Integral Equations
3 Journal of Physics A: Mathematical and General
3 Expositiones Mathematicae
3 Journal of Nonlinear Science
3 Journal of Mathematical Fluid Mechanics
3 Nonlinear Analysis. Real World Applications
3 Communications on Pure and Applied Analysis
2 Inverse Problems
2 Wave Motion
2 Fluid Dynamics Research
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
2 Indian Journal of Mathematics
2 Mathematica Japonica
2 Proceedings of the Japan Academy. Series A
2 Publicationes Mathematicae Debrecen
2 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bollettino della Unione Matemàtica Italiana. Serie VII. A
2 NoDEA. Nonlinear Differential Equations and Applications
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Nonlinearity
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Bulletin of the Calcutta Mathematical Society
1 Commentarii Mathematici Helvetici
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Gaṇita
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Portugaliae Mathematica
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studies in Applied Mathematics
1 Rendiconti del Seminario Matematico
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Note di Matematica
1 Rendiconti. Scienze Matemàtiche e Applicazioni. A
1 Annals of Global Analysis and Geometry
1 Physica D
1 Applied Mathematics Letters
1 Publicacions Matemàtiques
1 European Journal of Applied Mathematics
1 Atti del Seminario Matematico e Fisico dell’Università di Modena
1 Communications in Partial Differential Equations
1 L’Enseignement Mathématique. 2e Série
1 Rendiconti del Seminario della Facoltà di Scienze dell’ Università di Cagliari
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Stochastics and Stochastics Reports
1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
1 Physics of Fluids
1 Nonlinear World
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Journal of Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Annals of Mathematics. Second Series
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Analysis and Applications (Singapore)
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Lecture Notes in Mathematics
...and 3 more Serials

Publications by Year

Citations contained in zbMATH Open

175 Publications have been cited 12,832 times in 2,709 Documents Cited by Year
Wave breaking for nonlinear nonlocal shallow water equations. Zbl 0923.76025
Constantin, Adrian; Escher, Joachim
896
1998
Stability of peakons. Zbl 1049.35149
Constantin, Adrian; Strauss, Walter A.
642
2000
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
634
2009
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
554
2007
The trajectories of particles in Stokes waves. Zbl 1108.76013
Constantin, Adrian
500
2006
Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153
Constantin, Adrian; Escher, Joachim
468
1998
Global existence and blow-up for a shallow water equation. Zbl 0918.35005
Constantin, Adrian; Escher, Joachim
449
1998
On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065
Constantin, Adrian
431
2001
A shallow water equation on the circle. Zbl 0940.35177
Constantin, A.; McKean, H. P.
421
1999
Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Zbl 0944.35062
Constantin, Adrian
405
2000
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
356
2007
Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076
Constantin, Adrian; Escher, Joachim
322
2011
Global weak solutions for a shallow water equation. Zbl 1002.35101
Constantin, Adrian; Molinet, Luc
319
2000
Particle trajectories in solitary water waves. Zbl 1126.76012
Constantin, Adrian; Escher, Joachim
312
2007
On an integrable two-component Camassa-Holm shallow water system. Zbl 1227.76016
Constantin, Adrian; Ivanov, Rossen I.
304
2008
Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002
Constantin, Adrian
297
2011
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
252
2006
Exact steady periodic water waves with vorticity. Zbl 1038.76011
Constantin, Adrian; Strauss, Walter
246
2004
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
239
2002
Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032
Constantin, Adrian; Kolev, Boris
235
2003
On the blow-up rate and the blow-up set of breaking waves for a shallow water equation. Zbl 0954.35136
Constantin, Adrian; Escher, Joachim
229
2000
On the inverse spectral problem for the Camassa-Holm equation. Zbl 0907.35009
Constantin, Adrian
156
1998
The dynamics of waves interacting with the equatorial undercurrent. Zbl 07658791
Constantin, A.; Johnson, R. S.
152
2015
Pressure beneath a Stokes wave. Zbl 1423.76061
Constantin, Adrian; Strauss, Walter
140
2010
On the Cauchy problem for the periodic Camassa-Holm equation. Zbl 0889.35022
Constantin, Adrian
130
1997
Stability of a class of solitary waves in compressible elastic rods. Zbl 1115.74339
Constantin, Adrian; Strauss, Walter A.
129
2000
Global weak solutions for a shallow water equation. Zbl 0930.35133
Constantin, Adrian; Escher, Joachim
119
1998
On the geometric approach to the motion of inertial mechanical systems. Zbl 1039.37068
Constantin, Adrian; Kolev, Boris
117
2002
The Hamiltonian structure of the Camassa-Holm equation. Zbl 0881.35094
Constantin, Adrian
114
1997
On the deep water wave motion. Zbl 0982.76015
Constantin, Adrian
114
2001
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
109
2007
Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007
Constantin, Adrian; Escher, Joachim
106
2004
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
103
2007
Edge waves along a sloping beach. Zbl 1005.76009
Constantin, Adrian
103
2001
Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203
Constantin, Adrian; Varvaruca, Eugen
101
2011
Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen
101
2016
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
100
2001
Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109
Constantin, Adrian
96
2005
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
Bressan, Alberto; Constantin, Adrian
92
2005
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
92
2010
Equatorial wave-current interactions. Zbl 1421.35102
Constantin, A.; Ivanov, R. I.
87
2019
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
Constantin, A.
81
2000
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
Constantin, Adrian
79
2012
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
67
2008
Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024
Constantin, Adrian; Strauss, Walter
65
2011
Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009
Constantin, A.; Monismith, S. G.
61
2017
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
58
2017
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
58
2004
Stability properties of steady water waves with vorticity. Zbl 1125.35081
Constantin, Adrian; Strauss, Walter A.
53
2007
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
51
2008
Recovery of steady periodic wave profiles from pressure measurements at the bed. Zbl 1284.76065
Clamond, D.; Constantin, A.
49
2013
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
49
2016
On the existence of positive solutions of second order differential equations. Zbl 1223.34041
Constantin, Adrian
47
2005
Harmonic maps and ideal fluid flows. Zbl 1290.76014
Aleman, A.; Constantin, A.
46
2012
A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021
Constantin, A.; Ivanov, R. I.
42
2015
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
41
2006
The initial value problem for a generalized Boussinesq equation. Zbl 1161.35445
Constantin, Adrian; Molinet, Luc
40
2002
The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere. Zbl 0852.57012
Constantin, Adrian; Kolev, Boris
38
1994
Particle trajectories in linear deep-water waves. Zbl 1154.35429
Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele
36
2008
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
34
2007
On the structure of a family of quasilinear equations arising in shallow water theory. Zbl 0923.76028
Constantin, Adrian; Escher, Joachim
33
1998
Dressing method for the Degasperis-Procesi equation. Zbl 1365.35134
Constantin, Adrian; Ivanov, Rossen
32
2017
A general-weight Sturm-Liouville problem. Zbl 0913.34022
Constantin, Adrian
31
1997
Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020
Constantin, A.
31
2011
On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025
Constantin, A.
30
2012
Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024
Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu
29
2011
On the spectral problem for the periodic Camassa-Holm equation. Zbl 0881.35102
Constantin, Adrian
28
1997
Global solutions for quasilinear parabolic problems. Zbl 1004.35070
Constantin, Adrian; Escher, Joachim
27
2002
Exact periodic traveling water waves with vorticity. Zbl 1020.35012
Constantin, Adrian; Strauss, Walter
27
2002
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
27
2008
On equatorial wind waves. Zbl 1289.86002
Constantin, Adrian
26
2013
On the modelling of large-scale atmospheric flow. Zbl 1469.76140
Constantin, A.; Johnson, R. S.
26
2021
Positive solutions of quasilinear elliptic equations. Zbl 0891.35033
Constantin, Adrian
25
1997
Mean velocities in a Stokes wave. Zbl 1320.76016
Constantin, Adrian
24
2013
Frictional effects in wind-driven ocean currents. Zbl 1482.86024
Constantin, Adrian
23
2021
Generalized Fourier transform for the Camassa-Holm hierarchy. Zbl 1127.35045
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
22
2007
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
21
2008
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
20
2003
Positive solutions of Schrödinger equations in two-dimensional exterior domains. Zbl 0866.35031
Constantin, Adrian
19
1997
Existence of positive solutions of quasilinear elliptic equations. Zbl 0878.35040
Constantin, Adrian
19
1996
Global solutions for quasilinear parabolic systems. Zbl 1043.35066
Constantin, Adrian; Escher, Joachim; Yin, Zhaoyang
19
2004
On the Cauchy problem for a family of quasilinear hyperbolic equations. Zbl 0913.35091
Constantin, Adrian; Escher, Joachim
18
1998
Global solutions of perturbed differential equations. (Solutions globales d’équations différentielles perturbées.) Zbl 0839.34002
Constantin, Adrian
17
1995
Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032
Constantin, Adrian; Ivanov, Rossen
17
2006
Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains. Zbl 0974.35033
Constantin, Adrian; Villari, Gabriele
16
2000
On Nagumo’s theorem. Zbl 1192.34014
Constantin, Adrian
16
2010
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
15
2015
Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation. Zbl 0923.35126
Constantin, Adrian
14
1998
On the asymptotic behavior of second order nonlinear differential equations. Zbl 0808.34050
Constantin, A.
14
1993
Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Zbl 1282.35283
Constantin, Adrian
14
2012
The flow beneath a periodic travelling surface water wave. Zbl 1310.76019
Constantin, Adrian
14
2015
Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. Zbl 1500.76033
Constantin, A.; Germain, P.
13
2022
On the particle paths in solitary water waves. Zbl 1185.35182
Constantin, Adrian
12
2010
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
12
2015
Soliton interactions for the Camassa-Holm equation. Zbl 0879.35121
Constantin, Adrian
11
1997
On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027
Constantin, Adrian
11
2009
On an infinite interval boundary value problem. Zbl 0969.34024
Constantin, Adrian
10
1999
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
10
2006
On the inviscid Proudman-Johnson equation. Zbl 1179.35236
Constantin, Adrian; Wunsch, Marcus
10
2009
Global existence for fully parabolic boundary value problems. Zbl 1108.35091
Constantin, Adrian; Escher, Joachim
10
2006
Atmospheric undular bores. Zbl 07826791
Constantin, A.; Johnson, R. S.
2
2024
A uniqueness criterion for ordinary differential equations. Zbl 1512.34018
Constantin, A.
4
2023
On the dynamics of the near-surface currents in the Arctic Ocean. Zbl 1512.86003
Constantin, A.; Johnson, R. S.
4
2023
Exact nonlinear mountain waves propagating upwards. Zbl 1515.76133
Constantin, Adrian
1
2023
On Saturn’s six-sided polar jet stream. Zbl 1525.85003
Constantin, Adrian
1
2023
Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. Zbl 1500.76033
Constantin, A.; Germain, P.
13
2022
Nonlinear wind-drift ocean currents in arctic regions. Zbl 1494.76108
Constantin, Adrian
7
2022
Comments on: “Nonlinear wind-drift ocean currents in arctic regions”. Zbl 1506.35243
Constantin, Adrian
2
2022
On the modelling of large-scale atmospheric flow. Zbl 1469.76140
Constantin, A.; Johnson, R. S.
26
2021
Frictional effects in wind-driven ocean currents. Zbl 1482.86024
Constantin, Adrian
23
2021
Large-amplitude steady downstream water waves. Zbl 1480.76014
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen
10
2021
Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H.
8
2021
Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation. Zbl 1469.76027
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
4
2021
Equatorial wave-current interactions. Zbl 1479.76113
Constantin, Adrian
2
2021
On the decrease of kinetic energy with depth in wave-current interactions. Zbl 1450.35256
Aleman, A.; Constantin, A.
5
2020
A transformation between stationary point vortex equilibria. Zbl 1473.76013
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
5
2020
Equatorial wave-current interactions. Zbl 1421.35102
Constantin, A.; Ivanov, R. I.
87
2019
Stuart-type vortices on a rotating sphere. Zbl 1429.76038
Constantin, Adrian; Krishnamurthy, V. S.
8
2019
Steady point vortex pair in a field of Stuart-type vorticity. Zbl 1419.76105
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
7
2019
Nonlinear water waves: introduction and overview. Zbl 1404.76004
Constantin, A.
2
2018
Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009
Constantin, A.; Monismith, S. G.
61
2017
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
58
2017
Dressing method for the Degasperis-Procesi equation. Zbl 1365.35134
Constantin, Adrian; Ivanov, Rossen
32
2017
Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen
101
2016
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
49
2016
Exact travelling periodic water waves in two-dimensional irrotational flows. Zbl 1354.76024
Constantin, Adrian
8
2016
Fourier analysis. Part I: Theory. Zbl 1359.42001
Constantin, Adrian
3
2016
Preface. Zbl 1354.00089
3
2016
Nonlinear water waves. Cetraro, Italy, June 24–28, 2013. Zbl 1348.76002
1
2016
The dynamics of waves interacting with the equatorial undercurrent. Zbl 07658791
Constantin, A.; Johnson, R. S.
152
2015
A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021
Constantin, A.; Ivanov, R. I.
42
2015
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
15
2015
The flow beneath a periodic travelling surface water wave. Zbl 1310.76019
Constantin, Adrian
14
2015
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
12
2015
The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking. Zbl 1337.76008
Constantin, A.
9
2015
Stokes waves in water with a non-flat bed. Zbl 1446.76078
Constantin, A.
2
2014
Recovery of steady periodic wave profiles from pressure measurements at the bed. Zbl 1284.76065
Clamond, D.; Constantin, A.
49
2013
On equatorial wind waves. Zbl 1289.86002
Constantin, Adrian
26
2013
Mean velocities in a Stokes wave. Zbl 1320.76016
Constantin, Adrian
24
2013
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
Constantin, Adrian
79
2012
Harmonic maps and ideal fluid flows. Zbl 1290.76014
Aleman, A.; Constantin, A.
46
2012
On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025
Constantin, A.
30
2012
Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Zbl 1282.35283
Constantin, Adrian
14
2012
Introduction: Nonlinear water waves. Zbl 1250.76018
3
2012
On the open sea propagation of water waves generated by a moving bed. Zbl 1250.86005
Constantin, Adrian; Germain, Pierre
3
2012
On the geometry of the diffeomorphism group of the circle. Zbl 1257.58005
Constantin, Adrian; Kolev, Boris
1
2012
Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076
Constantin, Adrian; Escher, Joachim
322
2011
Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002
Constantin, Adrian
297
2011
Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203
Constantin, Adrian; Varvaruca, Eugen
101
2011
Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024
Constantin, Adrian; Strauss, Walter
65
2011
Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020
Constantin, A.
31
2011
Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024
Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu
29
2011
A dynamical systems approach towards isolated vorticity regions for tsunami background states. Zbl 1294.35169
Constantin, Adrian
10
2011
Pressure beneath a Stokes wave. Zbl 1423.76061
Constantin, Adrian; Strauss, Walter
140
2010
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
92
2010
On Nagumo’s theorem. Zbl 1192.34014
Constantin, Adrian
16
2010
On the particle paths in solitary water waves. Zbl 1185.35182
Constantin, Adrian
12
2010
Trochoidal solutions to the incompressible two-dimensional Euler equations. Zbl 1195.76134
Constantin, Adrian; Strauss, Walter A.
4
2010
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1350.76008
Constantin, Adrian; Johnson, Robin S.
3
2010
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
634
2009
On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027
Constantin, Adrian
11
2009
On the inviscid Proudman-Johnson equation. Zbl 1179.35236
Constantin, Adrian; Wunsch, Marcus
10
2009
On the propagation of tsunami waves, with emphasis on the tsunami of 2004. Zbl 1180.35441
Constantin, Adrian
3
2009
On an integrable two-component Camassa-Holm shallow water system. Zbl 1227.76016
Constantin, Adrian; Ivanov, Rossen I.
304
2008
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
67
2008
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
51
2008
Particle trajectories in linear deep-water waves. Zbl 1154.35429
Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele
36
2008
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
27
2008
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
21
2008
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
554
2007
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
356
2007
Particle trajectories in solitary water waves. Zbl 1126.76012
Constantin, Adrian; Escher, Joachim
312
2007
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
109
2007
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
103
2007
Stability properties of steady water waves with vorticity. Zbl 1125.35081
Constantin, Adrian; Strauss, Walter A.
53
2007
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
34
2007
Generalized Fourier transform for the Camassa-Holm hierarchy. Zbl 1127.35045
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
22
2007
Solitons from the Lagrangian perspective. Zbl 1135.35066
Constantin, Adrian
3
2007
Introduction: Some recent developments of nonlinear water wave theory. Zbl 1152.76327
Constantin, Adrian
3
2007
The Camassa-Holm equation as a geodesic flow for the \(H^1\) right-invariant metric. Zbl 1144.53328
Constantin, A.; Ivanov, R. I.
1
2007
The trajectories of particles in Stokes waves. Zbl 1108.76013
Constantin, Adrian
500
2006
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
252
2006
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
41
2006
Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032
Constantin, Adrian; Ivanov, Rossen
17
2006
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
10
2006
Global existence for fully parabolic boundary value problems. Zbl 1108.35091
Constantin, Adrian; Escher, Joachim
10
2006
Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109
Constantin, Adrian
96
2005
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
Bressan, Alberto; Constantin, Adrian
92
2005
On the existence of positive solutions of second order differential equations. Zbl 1223.34041
Constantin, Adrian
47
2005
A Hamiltonian formulation for free surface water waves with non-vanishing vorticity. Zbl 1362.35219
Constantin, Adrian
3
2005
Global existence for parabolic systems by Lyapunov functions. Zbl 1103.35035
Constantin, Adrian
2
2005
Wave-current interactions. Zbl 1331.76028
Constantin, Adrian
1
2005
Exact steady periodic water waves with vorticity. Zbl 1038.76011
Constantin, Adrian; Strauss, Walter
246
2004
Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007
Constantin, Adrian; Escher, Joachim
106
2004
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
58
2004
Global solutions for quasilinear parabolic systems. Zbl 1043.35066
Constantin, Adrian; Escher, Joachim; Yin, Zhaoyang
19
2004
Wave motion. Zbl 1077.76508
2
2004
Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032
Constantin, Adrian; Kolev, Boris
235
2003
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
20
2003
On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011
Constantin, Adrian; Lenells, Jonatan
10
2003
...and 75 more Documents
all top 5

Cited by 1,956 Authors

121 Yin, Zhaoyang
83 Constantin, Adrian
58 Liu, Yue
51 Qiao, Zhijun
50 Martin, Calin-Iulian
39 Lai, Shaoyong
37 Escher, Joachim
37 Henry, David
37 Tian, Lixin
35 Zhou, Shouming
34 Qu, Changzheng
32 Mu, Chunlai
30 Ionescu-Kruse, Delia
29 Mi, Yongsheng
28 Liu, Zhengrong
27 Guo, Boling
27 Ivanov, Rossen I.
27 Lenells, Jonatan
27 Wang, Jinrong
26 Gao, Hongjun
26 Guo, Zhengguang
25 Hsu, Hung-Chu
24 Ehrnström, Mats
24 Fečkan, Michal
24 Mustafa, Octavian G.
23 Himonas, A. Alexandrou
22 Liu, Xingxing
21 Chen, Robin Ming
21 Fu, Ying
20 Holden, Helge
20 Li, Jinlu
20 Wahlén, Erik
20 Wheeler, Miles H.
19 Freire, Igor Leite
19 Kolev, Boris
19 Li, Yongsheng
19 Matioc, Bogdan-Vasile
19 Zhu, Min
18 Fan, Lili
18 Yan, Wei
17 Basu, Biswajit
17 Hur, Vera Mikyoung
17 Moon, Byungsoo
17 Yan, Kai
17 Yang, Shaojie
17 Zhou, Yong
16 Geyer, Anna
16 Grunert, Katrin
16 Strauss, Walter Alexander
16 Wu, Xinglong
15 Gui, Guilong
15 Guo, Yunxi
15 Kozlov, Vladimir A.
15 Raynaud, Xavier
15 Zhu, Weipeng
14 Chu, Jifeng
14 Erkip, Albert Kohen
14 Guan, Chunxia
14 Hu, Qiaoyi
14 Marynets, Kateryna
14 Shen, Chunyu
14 Tian, Shoufu
14 Walsh, Samuel
14 Zhu, Mingxuan
13 Clamond, Didier
13 Guo, Fei
13 Kalisch, Henrik
13 Lyons, Tony
13 Matioc, Anca-Voichita
13 Wang, Haiquan
13 Wang, Ying
13 Yu, Yanghai
12 Erbay, Husnuata A.
12 Erbay, Saadet
12 Fan, Engui
12 Jiang, Zaihong
12 Li, Fengquan
12 Tang, Hao
11 Bauer, Martin
11 Chen, Yong
11 Coclite, Giuseppe Maria
11 Ding, Danping
11 Gasull, Armengol
11 Liu, Xiaochuan
11 Lokharu, Evgeniy
11 Ma, Ruyun
11 Novruzov, Emil B.
11 Preston, Stephen C.
11 Quirchmayr, Ronald
11 Shepelsky, Dmitry
11 Wu, Yonghong
11 Yang, Yanjuan
11 Zhang, Lei
10 Eckhardt, Jonathan
10 Guo, Yingying
10 Karlsen, Kenneth Hvistendahl
10 Li, Min
10 Szmigielski, Jacek
9 Anco, Stephen C.
9 Boutet de Monvel, Anne Marie
...and 1,856 more Authors
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Cited in 310 Serials

227 Journal of Differential Equations
143 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
139 Monatshefte für Mathematik
100 Journal of Mathematical Physics
100 Nonlinear Analysis. Real World Applications
99 Journal of Mathematical Analysis and Applications
98 Discrete and Continuous Dynamical Systems
98 Journal of Nonlinear Mathematical Physics
92 Applicable Analysis
85 Journal of Mathematical Fluid Mechanics
58 Journal of Fluid Mechanics
43 Applied Mathematics Letters
40 Abstract and Applied Analysis
38 Boundary Value Problems
36 Archive for Rational Mechanics and Analysis
36 Applied Mathematics and Computation
33 Physica D
30 Physics Letters. A
28 Wave Motion
27 Communications in Mathematical Physics
26 Journal of Nonlinear Science
25 Annali di Matematica Pura ed Applicata. Serie Quarta
24 European Journal of Mechanics. B. Fluids
24 Journal of Evolution Equations
23 Mathematical Methods in the Applied Sciences
23 Journal of Functional Analysis
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Studies in Applied Mathematics
20 Chaos, Solitons and Fractals
20 Communications on Pure and Applied Analysis
19 Nonlinearity
18 Advances in Mathematics
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
17 Communications in Partial Differential Equations
16 Quarterly of Applied Mathematics
16 SIAM Journal on Mathematical Analysis
16 Communications in Nonlinear Science and Numerical Simulation
15 Theoretical and Mathematical Physics
15 Mathematische Annalen
13 Communications on Pure and Applied Mathematics
13 Journal of Geometry and Physics
13 Journal of Dynamics and Differential Equations
13 Journal of Inequalities and Applications
13 Advances in Mathematical Physics
12 Journal of Computational and Applied Mathematics
12 Journal of Physics A: Mathematical and Theoretical
11 Proceedings of the American Mathematical Society
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of Hyperbolic Differential Equations
10 Letters in Mathematical Physics
10 Mathematische Nachrichten
10 Analysis and Mathematical Physics
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Applied Numerical Mathematics
9 Discrete and Continuous Dynamical Systems. Series B
8 Mathematische Zeitschrift
8 Calculus of Variations and Partial Differential Equations
8 NoDEA. Nonlinear Differential Equations and Applications
8 Mathematical Problems in Engineering
8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Qualitative Theory of Dynamical Systems
7 Journal of Computational Physics
7 Annales de l’Institut Fourier
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Mathematical Physics, Analysis and Geometry
7 Journal of Applied Mathematics
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Discrete and Continuous Dynamical Systems. Series S
6 Annals of Global Analysis and Geometry
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Advances in Difference Equations
6 Electronic Research Archive
5 Computers & Mathematics with Applications
5 Journal of Engineering Mathematics
5 Inventiones Mathematicae
5 Mathematics and Computers in Simulation
5 International Journal of Mathematics
5 Electronic Journal of Differential Equations (EJDE)
5 Nonlinear Dynamics
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Acta Mathematica Sinica. English Series
5 Journal of Geometric Mechanics
4 Bulletin of the Australian Mathematical Society
4 Geophysical and Astrophysical Fluid Dynamics
4 Reviews in Mathematical Physics
4 Results in Mathematics
4 Topology and its Applications
4 Acta Applicandae Mathematicae
4 Acta Mathematicae Applicatae Sinica. English Series
4 Numerical Methods for Partial Differential Equations
4 Differential Equations
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Communications in Theoretical Physics
4 Open Mathematics
4 Results in Applied Mathematics
4 Water Waves
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica
3 Archiv der Mathematik
...and 210 more Serials
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Cited in 54 Fields

2,119 Partial differential equations (35-XX)
958 Fluid mechanics (76-XX)
506 Dynamical systems and ergodic theory (37-XX)
260 Ordinary differential equations (34-XX)
221 Geophysics (86-XX)
92 Numerical analysis (65-XX)
77 Global analysis, analysis on manifolds (58-XX)
73 Mechanics of deformable solids (74-XX)
64 Operator theory (47-XX)
46 Calculus of variations and optimal control; optimization (49-XX)
45 Differential geometry (53-XX)
42 Functions of a complex variable (30-XX)
35 Probability theory and stochastic processes (60-XX)
33 Integral equations (45-XX)
32 Real functions (26-XX)
29 Potential theory (31-XX)
27 Systems theory; control (93-XX)
22 Mechanics of particles and systems (70-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
19 Functional analysis (46-XX)
16 Manifolds and cell complexes (57-XX)
14 Quantum theory (81-XX)
13 Approximations and expansions (41-XX)
11 Group theory and generalizations (20-XX)
11 Topological groups, Lie groups (22-XX)
11 General topology (54-XX)
10 Nonassociative rings and algebras (17-XX)
10 Difference and functional equations (39-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Biology and other natural sciences (92-XX)
8 Optics, electromagnetic theory (78-XX)
7 Special functions (33-XX)
6 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Relativity and gravitational theory (83-XX)
5 Algebraic geometry (14-XX)
5 Operations research, mathematical programming (90-XX)
4 Integral transforms, operational calculus (44-XX)
4 Computer science (68-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Astronomy and astrophysics (85-XX)
3 Field theory and polynomials (12-XX)
3 Algebraic topology (55-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Convex and discrete geometry (52-XX)

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