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Constantin, Adrian

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Author ID: constantin.adrian Recent zbMATH articles by "Constantin, Adrian"
Published as: Constantin, A.; Constantin, Adrian
Homepage: https://ufind.univie.ac.at/de/person.html?id=36146
External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 190 Publications since 1990, including 5 Books
all top 5

Serials

9 Archive for Rational Mechanics and Analysis
8 Journal of Fluid Mechanics
6 Communications on Pure and Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Nonlinear Mathematical Physics
4 Physics Letters. A
4 Analele Universităţii din Timişoara. Ştiinţe Matematice
4 Journal of Differential Equations
4 Discrete and Continuous Dynamical Systems
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
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
2 Communications in Mathematical Physics
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 Mathematische Annalen
2 Mathematica Japonica
2 Proceedings of the Japan Academy. Series A
2 Publicationes Mathematicae
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 Nonlinear Analysis. Real World Applications
2 Communications on Pure and Applied Analysis
2 Oberwolfach Reports
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 Ganita
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
1 London Mathematical Society Student Texts
1 Journal of Physics A: Mathematical and Theoretical
1 Nonlinear Analysis. Theory, Methods & Applications
...and 2 more Serials

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 9,634 times in 1,955 Documents Cited by Year
Wave breaking for nonlinear nonlocal shallow water equations. Zbl 0923.76025
Constantin, Adrian; Escher, Joachim
658
1998
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
492
2009
Stability of peakons. Zbl 1049.35149
Constantin, Adrian; Strauss, Walter A.
483
2000
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
427
2007
The trajectories of particles in Stokes waves. Zbl 1108.76013
Constantin, Adrian
422
2006
Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153
Constantin, Adrian; Escher, Joachim
370
1998
On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065
Constantin, Adrian
346
2001
A shallow water equation on the circle. Zbl 0940.35177
Constantin, A.; McKean, H. P.
329
1999
Global existence and blow-up for a shallow water equation. Zbl 0918.35005
Constantin, Adrian; Escher, Joachim
313
1998
Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Zbl 0944.35062
Constantin, Adrian
289
2000
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
276
2007
Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076
Constantin, Adrian; Escher, Joachim
261
2011
Global weak solutions for a shallow water equation. Zbl 1002.35101
Constantin, Adrian; Molinet, Luc
258
2000
Particle trajectories in solitary water waves. Zbl 1126.76012
Constantin, Adrian; Escher, Joachim
257
2007
On an integrable two-component Camassa-Holm shallow water system. Zbl 1227.76016
Constantin, Adrian; Ivanov, Rossen I.
243
2008
Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002
Constantin, Adrian
207
2011
Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032
Constantin, Adrian; Kolev, Boris
203
2003
Exact steady periodic water waves with vorticity. Zbl 1038.76011
Constantin, Adrian; Strauss, Walter
200
2004
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
194
2006
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
183
2002
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
171
2000
On the inverse spectral problem for the Camassa-Holm equation. Zbl 0907.35009
Constantin, Adrian
125
1998
Pressure beneath a Stokes wave. Zbl 1423.76061
Constantin, Adrian; Strauss, Walter
120
2010
Stability of a class of solitary waves in compressible elastic rods. Zbl 1115.74339
Constantin, Adrian; Strauss, Walter A.
108
2000
On the deep water wave motion. Zbl 0982.76015
Constantin, Adrian
107
2001
On the Cauchy problem for the periodic Camassa-Holm equation. Zbl 0889.35022
Constantin, Adrian
107
1997
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
103
2007
Global weak solutions for a shallow water equation. Zbl 0930.35133
Constantin, Adrian; Escher, Joachim
101
1998
On the geometric approach to the motion of inertial mechanical systems. Zbl 1039.37068
Constantin, Adrian; Kolev, Boris
99
2002
Edge waves along a sloping beach. Zbl 1005.76009
Constantin, Adrian
89
2001
Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007
Constantin, Adrian; Escher, Joachim
88
2004
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
85
2007
Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109
Constantin, Adrian
83
2005
Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203
Constantin, Adrian; Varvaruca, Eugen
80
2011
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
Bressan, Alberto; Constantin, Adrian
72
2005
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
70
2010
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
65
2001
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
64
2008
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
Constantin, A.
62
2000
Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen
60
2016
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
Constantin, Adrian
59
2012
Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024
Constantin, Adrian; Strauss, Walter
49
2011
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
49
2004
Stability properties of steady water waves with vorticity. Zbl 1125.35081
Constantin, Adrian; Strauss, Walter A.
46
2007
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
42
2008
Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009
Constantin, A.; Monismith, S. G.
40
2017
The Hamiltonian structure of the Camassa-Holm equation. Zbl 0881.35094
Constantin, Adrian
40
1997
Recovery of steady periodic wave profiles from pressure measurements at the bed. Zbl 1284.76065
Clamond, D.; Constantin, A.
39
2013
On the existence of positive solutions of second order differential equations. Zbl 1223.34041
Constantin, Adrian
36
2005
Particle trajectories in linear deep-water waves. Zbl 1154.35429
Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele
29
2008
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
29
2007
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
28
2017
Harmonic maps and ideal fluid flows. Zbl 1290.76014
Aleman, A.; Constantin, A.
28
2012
On the structure of a family of quasilinear equations arising in shallow water theory. Zbl 0923.76028
Constantin, Adrian; Escher, Joachim
28
1998
The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere. Zbl 0852.57012
Constantin, Adrian; Kolev, Boris
27
1994
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
25
2016
Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024
Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu
24
2011
Exact periodic traveling water waves with vorticity. Zbl 1020.35012
Constantin, Adrian; Strauss, Walter
24
2002
A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021
Constantin, A.; Ivanov, R. I.
23
2015
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
23
2006
The initial value problem for a generalized Boussinesq equation. Zbl 1161.35445
Constantin, Adrian; Molinet, Luc
23
2002
Global solutions for quasilinear parabolic problems. Zbl 1004.35070
Constantin, Adrian; Escher, Joachim
23
2002
Positive solutions of quasilinear elliptic equations. Zbl 0891.35033
Constantin, Adrian
23
1997
On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025
Constantin, A.
22
2012
Mean velocities in a Stokes wave. Zbl 1320.76016
Constantin, Adrian
19
2013
Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020
Constantin, A.
19
2011
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
19
2008
On equatorial wind waves. Zbl 1289.86002
Constantin, Adrian
18
2013
Equatorial wave-current interactions. Zbl 1421.35102
Constantin, A.; Ivanov, R. I.
17
2019
Positive solutions of Schrödinger equations in two-dimensional exterior domains. Zbl 0866.35031
Constantin, Adrian
17
1997
Existence of positive solutions of quasilinear elliptic equations. Zbl 0878.35040
Constantin, Adrian
17
1996
Dressing method for the Degasperis-Procesi equation. Zbl 1365.35134
Constantin, Adrian; Ivanov, Rossen
16
2017
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
16
2008
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
16
2003
Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains. Zbl 0974.35033
Constantin, Adrian; Villari, Gabriele
16
2000
On the spectral problem for the periodic Camassa-Holm equation. Zbl 0881.35102
Constantin, Adrian
16
1997
Global solutions of perturbed differential equations. Zbl 0839.34002
Constantin, Adrian
16
1995
Global solutions for quasilinear parabolic systems. Zbl 1043.35066
Constantin, Adrian; Escher, Joachim; Yin, Zhaoyang
15
2004
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
14
2015
A general-weight Sturm-Liouville problem. Zbl 0913.34022
Constantin, Adrian
14
1997
Generalized Fourier transform for the Camassa-Holm hierarchy. Zbl 1127.35045
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
13
2007
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
11
2015
Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Zbl 1282.35283
Constantin, Adrian
11
2012
On the inviscid Proudman-Johnson equation. Zbl 1179.35236
Constantin, Adrian; Wunsch, Marcus
10
2009
On an infinite interval boundary value problem. Zbl 0969.34024
Constantin, Adrian
10
1999
Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation. Zbl 0923.35126
Constantin, Adrian
10
1998
On the Cauchy problem for a family of quasilinear hyperbolic equations. Zbl 0913.35091
Constantin, Adrian; Escher, Joachim
10
1998
The flow beneath a periodic travelling surface water wave. Zbl 1310.76019
Constantin, Adrian
9
2015
On Nagumo’s theorem. Zbl 1192.34014
Constantin, Adrian
9
2010
On the particle paths in solitary water waves. Zbl 1185.35182
Constantin, Adrian
9
2010
Global existence for fully parabolic boundary value problems. Zbl 1108.35091
Constantin, Adrian; Escher, Joachim
9
2006
A dynamical systems approach towards isolated vorticity regions for tsunami background states. Zbl 1294.35169
Constantin, Adrian
8
2011
On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027
Constantin, Adrian
8
2009
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
8
2006
Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032
Constantin, Adrian; Ivanov, Rossen
8
2006
On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011
Constantin, Adrian; Lenells, Jonatan
8
2003
Soliton interactions for the Camassa-Holm equation. Zbl 0879.35121
Constantin, Adrian
8
1997
On the asymptotic behavior of second order nonlinear differential equations. Zbl 0808.34050
Constantin, A.
8
1993
The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking. Zbl 1337.76008
Constantin, A.
7
2015
On the oscillation of solutions of the Liénard equation. Zbl 0877.34028
Constantin, Adrian
6
1997
Equatorial wave-current interactions. Zbl 1421.35102
Constantin, A.; Ivanov, R. I.
17
2019
Stuart-type vortices on a rotating sphere. Zbl 1429.76038
Constantin, Adrian; Krishnamurthy, V. S.
3
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
2
2019
Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009
Constantin, A.; Monismith, S. G.
40
2017
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
28
2017
Dressing method for the Degasperis-Procesi equation. Zbl 1365.35134
Constantin, Adrian; Ivanov, Rossen
16
2017
Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen
60
2016
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
25
2016
Exact travelling periodic water waves in two-dimensional irrotational flows. Zbl 1354.76024
Constantin, Adrian
5
2016
Preface. Zbl 1354.00089
Constantin, A. (ed.); Escher, J. (ed.); Johnson, R. S. (ed.); Villari, G. (ed.)
2
2016
Fourier analysis. Part I: Theory. Zbl 1359.42001
Constantin, Adrian
1
2016
Nonlinear water waves. Cetraro, Italy, June 24–28, 2013. Zbl 1348.76002
Constantin, Adrian (ed.)
1
2016
A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021
Constantin, A.; Ivanov, R. I.
23
2015
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
14
2015
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
11
2015
The flow beneath a periodic travelling surface water wave. Zbl 1310.76019
Constantin, Adrian
9
2015
The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking. Zbl 1337.76008
Constantin, A.
7
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.
39
2013
Mean velocities in a Stokes wave. Zbl 1320.76016
Constantin, Adrian
19
2013
On equatorial wind waves. Zbl 1289.86002
Constantin, Adrian
18
2013
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
Constantin, Adrian
59
2012
Harmonic maps and ideal fluid flows. Zbl 1290.76014
Aleman, A.; Constantin, A.
28
2012
On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025
Constantin, A.
22
2012
Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Zbl 1282.35283
Constantin, Adrian
11
2012
Introduction: Nonlinear water waves. Zbl 1250.76018
Constantin, Adrian (ed.)
3
2012
On the open sea propagation of water waves generated by a moving bed. Zbl 1250.86005
Constantin, Adrian; Germain, Pierre
2
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
261
2011
Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002
Constantin, Adrian
207
2011
Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203
Constantin, Adrian; Varvaruca, Eugen
80
2011
Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024
Constantin, Adrian; Strauss, Walter
49
2011
Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024
Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu
24
2011
Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020
Constantin, A.
19
2011
A dynamical systems approach towards isolated vorticity regions for tsunami background states. Zbl 1294.35169
Constantin, Adrian
8
2011
Pressure beneath a Stokes wave. Zbl 1423.76061
Constantin, Adrian; Strauss, Walter
120
2010
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
70
2010
On Nagumo’s theorem. Zbl 1192.34014
Constantin, Adrian
9
2010
On the particle paths in solitary water waves. Zbl 1185.35182
Constantin, Adrian
9
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
Trochoidal solutions to the incompressible two-dimensional Euler equations. Zbl 1195.76134
Constantin, Adrian; Strauss, Walter A.
3
2010
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
492
2009
On the inviscid Proudman-Johnson equation. Zbl 1179.35236
Constantin, Adrian; Wunsch, Marcus
10
2009
On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027
Constantin, Adrian
8
2009
On the propagation of tsunami waves, with emphasis on the tsunami of 2004. Zbl 1180.35441
Constantin, Adrian
2
2009
On an integrable two-component Camassa-Holm shallow water system. Zbl 1227.76016
Constantin, Adrian; Ivanov, Rossen I.
243
2008
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
64
2008
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
42
2008
Particle trajectories in linear deep-water waves. Zbl 1154.35429
Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele
29
2008
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
19
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
16
2008
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
427
2007
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
276
2007
Particle trajectories in solitary water waves. Zbl 1126.76012
Constantin, Adrian; Escher, Joachim
257
2007
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
103
2007
Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076
Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik
85
2007
Stability properties of steady water waves with vorticity. Zbl 1125.35081
Constantin, Adrian; Strauss, Walter A.
46
2007
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
29
2007
Generalized Fourier transform for the Camassa-Holm hierarchy. Zbl 1127.35045
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
13
2007
Introduction: Some recent developments of nonlinear water wave theory. Zbl 1152.76327
Constantin, Adrian
3
2007
Solitons from the Lagrangian perspective. Zbl 1135.35066
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
422
2006
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
194
2006
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
23
2006
Global existence for fully parabolic boundary value problems. Zbl 1108.35091
Constantin, Adrian; Escher, Joachim
9
2006
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
8
2006
Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032
Constantin, Adrian; Ivanov, Rossen
8
2006
Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109
Constantin, Adrian
83
2005
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
Bressan, Alberto; Constantin, Adrian
72
2005
On the existence of positive solutions of second order differential equations. Zbl 1223.34041
Constantin, Adrian
36
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
200
2004
Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007
Constantin, Adrian; Escher, Joachim
88
2004
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
49
2004
Global solutions for quasilinear parabolic systems. Zbl 1043.35066
Constantin, Adrian; Escher, Joachim; Yin, Zhaoyang
15
2004
Wave motion. Zbl 1077.76508
Constantin, Adrian (ed.); Escher, Joachim (ed.)
2
2004
Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032
Constantin, Adrian; Kolev, Boris
203
2003
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
16
2003
On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011
Constantin, Adrian; Lenells, Jonatan
8
2003
\(H^k\) metrics on the diffeomorphism group of the circle. Zbl 1043.58004
Constantin, Adrian; Kolev, B.
3
2003
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
183
2002
On the geometric approach to the motion of inertial mechanical systems. Zbl 1039.37068
Constantin, Adrian; Kolev, Boris
99
2002
Exact periodic traveling water waves with vorticity. Zbl 1020.35012
Constantin, Adrian; Strauss, Walter
24
2002
The initial value problem for a generalized Boussinesq equation. Zbl 1161.35445
Constantin, Adrian; Molinet, Luc
23
2002
Global solutions for quasilinear parabolic problems. Zbl 1004.35070
Constantin, Adrian; Escher, Joachim
23
2002
On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065
Constantin, Adrian
346
2001
On the deep water wave motion. Zbl 0982.76015
Constantin, Adrian
107
2001
Edge waves along a sloping beach. Zbl 1005.76009
Constantin, Adrian
89
2001
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
65
2001
Least action principle for an integrable shallow water equation. Zbl 0992.35088
Constantin, Adrian; Kolev, Boris
4
2001
A Lagrangian approximation to the water-wave problem. Zbl 0985.35069
Constantin, A.
4
2001
The construction of an evolution system in the hyperbolic case and applications. Zbl 0982.35072
Constantin, Adrian
2
2001
Geometrical methods in hydrodynamics. Zbl 1007.35086
Constantin, Adrian
1
2001
Stability of peakons. Zbl 1049.35149
Constantin, Adrian; Strauss, Walter A.
483
2000
Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Zbl 0944.35062
Constantin, Adrian
289
2000
Global weak solutions for a shallow water equation. Zbl 1002.35101
Constantin, Adrian; Molinet, Luc
258
2000
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
171
2000
...and 54 more Documents
all top 5

Cited by 1,506 Authors

101 Yin, Zhaoyang
68 Constantin, Adrian
48 Liu, Yue
38 Martin, Calin-Iulian
38 Qiao, Zhijun
34 Escher, Joachim
33 Tian, Lixin
30 Mu, Chunlai
28 Lai, Shaoyong
27 Liu, Zhengrong
27 Qu, Changzheng
27 Zhou, Shouming
26 Ionescu-Kruse, Delia
26 Mi, Yongsheng
25 Guo, Zhengguang
25 Lenells, Jonatan
24 Mustafa, Octavian G.
23 Hsu, Hung-Chu
22 Ehrnström, Mats
21 Himonas, A. Alexandrou
20 Ivanov, Rossen I.
19 Guo, Boling
19 Liu, Xingxing
18 Henry, David
18 Kolev, Boris
18 Li, Yongsheng
18 Matioc, Bogdan-Vasile
17 Chen, Robin Ming
17 Gao, Hongjun
17 Holden, Helge
17 Yan, Wei
15 Raynaud, Xavier
15 Yan, Kai
15 Zhou, Yong
15 Zhu, Min
14 Fu, Ying
14 Gui, Guilong
14 Henry, David
14 Hur, Vera Mikyoung
14 Strauss, Walter Alexander
14 Wahlén, Erik
13 Guan, Chunxia
13 Hu, Qiaoyi
13 Shen, Chunyu
12 Basu, Biswajit
12 Chu, Jifeng
12 Guo, Fei
12 Guo, Yunxi
12 Matioc, Anca-Voichita
11 Geyer, Anna
11 Kalisch, Henrik
11 Moon, Byungsoo
11 Wu, Xinglong
11 Wu, Yonghong
10 Bauer, Martin
10 Erbay, Husnuata A.
10 Erkip, Albert Kohen
10 Fan, Lili
10 Grunert, Katrin
10 Lyons, Tony
10 Preston, Stephen C.
10 Walsh, Samuel
10 Zhu, Mingxuan
9 Boutet de Monvel, Anne Marie
9 Bressan, Alberto
9 Gasull, Armengol
9 Jiang, Zaihong
9 Li, Jinlu
9 Liu, Jingjing
9 Liu, Xiaochuan
9 Long, Yao
9 Lv, Guangying
9 Ma, Ruyun
9 Ni, Lidiao
9 Rui, Weiguo
9 Shepelsky, Dmitry
9 Wunsch, Marcus
8 Bruveris, Martins
8 Clamond, Didier
8 Coclite, Giuseppe Maria
8 Ding, Danping
8 Eckhardt, Jonathan
8 Erbay, Saadet
8 He, Bin
8 Kogelbauer, Florian
8 Novruzov, Emil B.
8 Quirchmayr, Ronald
8 Stuhlmeier, Raphael
8 Szmigielski, Jacek
8 Tang, Hao
8 Wang, Yujuan
8 Wheeler, Miles H.
8 Zong, Xiju
7 Anco, Stephen C.
7 Chang, Xiangke
7 Chen, Geng
7 Chen, Yong
7 Duruk Mutlubaş, Nilay
7 Jin, Liangbing
7 Johnson, Robin Stanley
...and 1,406 more Authors
all top 5

Cited in 241 Serials

159 Journal of Differential Equations
138 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
92 Discrete and Continuous Dynamical Systems
88 Journal of Nonlinear Mathematical Physics
87 Journal of Mathematical Analysis and Applications
82 Journal of Mathematical Physics
78 Nonlinear Analysis. Real World Applications
74 Monatshefte für Mathematik
54 Applicable Analysis
48 Journal of Mathematical Fluid Mechanics
43 Journal of Fluid Mechanics
39 Abstract and Applied Analysis
35 Applied Mathematics and Computation
32 Archive for Rational Mechanics and Analysis
27 Boundary Value Problems
23 Communications in Mathematical Physics
22 Applied Mathematics Letters
21 Wave Motion
21 Journal of Functional Analysis
21 European Journal of Mechanics. B. Fluids
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Journal of Nonlinear Science
17 Communications in Partial Differential Equations
17 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
15 Chaos, Solitons and Fractals
14 Journal of Evolution Equations
13 Quarterly of Applied Mathematics
13 Physica D
12 Theoretical and Mathematical Physics
12 Advances in Mathematics
11 Mathematical Methods in the Applied Sciences
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Journal of Geometry and Physics
11 Journal of Computational and Applied Mathematics
11 Journal of Inequalities and Applications
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Advances in Mathematical Physics
10 Mathematische Annalen
9 Letters in Mathematical Physics
9 Physics Letters. A
9 Journal of Hyperbolic Differential Equations
8 Communications on Pure and Applied Mathematics
8 Nonlinearity
8 Proceedings of the American Mathematical Society
8 Studies in Applied Mathematics
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Mathematical Problems in Engineering
8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Communications in Nonlinear Science and Numerical Simulation
7 Applied Numerical Mathematics
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 SIAM Journal on Mathematical Analysis
7 NoDEA. Nonlinear Differential Equations and Applications
7 Journal of Applied Mathematics
6 Journal of Computational Physics
6 Calculus of Variations and Partial Differential Equations
6 Mathematical Physics, Analysis and Geometry
6 Advances in Difference Equations
6 Analysis and Mathematical Physics
5 Computers & Mathematics with Applications
5 Annales de l’Institut Fourier
5 Inventiones Mathematicae
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
5 Annals of Global Analysis and Geometry
5 Journal of Dynamics and Differential Equations
5 Discrete and Continuous Dynamical Systems. Series B
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Discrete and Continuous Dynamical Systems. Series S
5 Electronic Research Archive
4 Bulletin of the Australian Mathematical Society
4 Reviews in Mathematical Physics
4 Mathematics and Computers in Simulation
4 Acta Applicandae Mathematicae
4 Electronic Journal of Differential Equations (EJDE)
4 Acta Mathematica Sinica. English Series
4 Communications on Pure and Applied Analysis
4 Communications in Theoretical Physics
4 Water Waves
3 Journal of Engineering Mathematics
3 Acta Mathematica
3 Glasgow Mathematical Journal
3 Numerische Mathematik
3 Results in Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Mathematicae Applicatae Sinica. English Series
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 Nonlinear Dynamics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Differential Equations
3 Advanced Nonlinear Studies
3 Journal of Applied Mathematics and Computing
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Analysis and Applications (Singapore)
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Frontiers of Mathematics in China
3 Journal of Geometric Mechanics
2 Computers and Fluids
...and 141 more Serials
all top 5

Cited in 48 Fields

1,548 Partial differential equations (35-XX)
665 Fluid mechanics (76-XX)
367 Dynamical systems and ergodic theory (37-XX)
187 Ordinary differential equations (34-XX)
123 Geophysics (86-XX)
63 Numerical analysis (65-XX)
61 Global analysis, analysis on manifolds (58-XX)
54 Mechanics of deformable solids (74-XX)
45 Operator theory (47-XX)
31 Differential geometry (53-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
26 Functions of a complex variable (30-XX)
25 Integral equations (45-XX)
24 Systems theory; control (93-XX)
19 Real functions (26-XX)
19 Probability theory and stochastic processes (60-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Mechanics of particles and systems (70-XX)
16 Potential theory (31-XX)
11 Difference and functional equations (39-XX)
11 Functional analysis (46-XX)
11 General topology (54-XX)
10 Manifolds and cell complexes (57-XX)
10 Quantum theory (81-XX)
9 Group theory and generalizations (20-XX)
9 Topological groups, Lie groups (22-XX)
7 Nonassociative rings and algebras (17-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Optics, electromagnetic theory (78-XX)
5 Biology and other natural sciences (92-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operations research, mathematical programming (90-XX)
3 Algebraic geometry (14-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Field theory and polynomials (12-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Computer science (68-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 \(K\)-theory (19-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

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