Edit Profile (opens in new tab) Constantin, Adrian Co-Author Distance Author ID: constantin.adrian Published as: Constantin, Adrian; Constantin, A. Homepage: https://ufind.univie.ac.at/de/person.html?id=36146 External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 197 Publications since 1990, including 2 Books and 2 Additional arXiv Preprints 11 Contributions as Editor · 1 Further Contribution Co-Authors: 34 Co-Authors with 95 Joint Publications 1,029 Co-Co-Authors all top 5 Co-Authors 112 single-authored 22 Escher, Joachim 14 Strauss, Walter Alexander 11 Ivanov, Rossen I. 11 Johnson, Robin Stanley 10 Kolev, Boris 5 Krishnamurthy, Vikas S. 5 Villari, Gabriele 4 Crowdy, Darren Gregory 4 Lenells, Jonatan 4 Molinet, Luc 4 Wheeler, Miles H. 3 Bressan, Alberto 3 Vărvărucă, Eugen 2 Aleman, Alexandru 2 Ehrnström, Mats 2 Gerdzhikov, Vladimir Stefanov 2 Germain, Pierre 2 Kalimeris, Konstantinos 2 Scherzer, Otmar 2 Wahlén, Erik 1 Abrashkin, A. A. 1 Clamond, Didier 1 Hsu, Hung-Chu 1 Kappeler, Thomas 1 Kartashova, Elena A. 1 Lannes, David 1 Levy, Doron 1 Martin, Calin-Iulian 1 McKean, Henry P. jun. 1 Monismith, Stephen G. 1 Peszat, Szymon 1 Prodanov, Emil M. 1 Topalov, Peter J. 1 Wunsch, Marcus 1 Yin, Zhaoyang all top 5 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 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 Mathematische Annalen 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 all top 5 Fields 116 Partial differential equations (35-XX) 97 Fluid mechanics (76-XX) 35 Ordinary differential equations (34-XX) 31 Geophysics (86-XX) 26 Dynamical systems and ergodic theory (37-XX) 11 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 8 General and overarching topics; collections (00-XX) 8 Integral equations (45-XX) 8 General topology (54-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 173 Publications have been cited 12,206 times in 2,575 Documents Cited by ▼ Year ▼ Wave breaking for nonlinear nonlocal shallow water equations. Zbl 0923.76025 Constantin, Adrian; Escher, Joachim 854 1998 The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010 Constantin, Adrian; Lannes, David 610 2009 Stability of peakons. Zbl 1049.35149 Constantin, Adrian; Strauss, Walter A. 604 2000 Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013 Bressan, Alberto; Constantin, Adrian 523 2007 The trajectories of particles in Stokes waves. Zbl 1108.76013 Constantin, Adrian 486 2006 Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153 Constantin, Adrian; Escher, Joachim 446 1998 Global existence and blow-up for a shallow water equation. Zbl 0918.35005 Constantin, Adrian; Escher, Joachim 423 1998 On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065 Constantin, Adrian 413 2001 Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Zbl 0944.35062 Constantin, Adrian 379 2000 A shallow water equation on the circle. Zbl 0940.35177 Constantin, A.; McKean, H. P. 378 1999 Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378 Bressan, Alberto; Constantin, Adrian 342 2007 Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076 Constantin, Adrian; Escher, Joachim 317 2011 Global weak solutions for a shallow water equation. Zbl 1002.35101 Constantin, Adrian; Molinet, Luc 306 2000 Particle trajectories in solitary water waves. Zbl 1126.76012 Constantin, Adrian; Escher, Joachim 303 2007 On an integrable two-component Camassa-Holm shallow water system. Zbl 1227.76016 Constantin, Adrian; Ivanov, Rossen I. 298 2008 Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002 Constantin, Adrian 266 2011 Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044 Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I. 241 2006 Exact steady periodic water waves with vorticity. Zbl 1038.76011 Constantin, Adrian; Strauss, Walter 239 2004 Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032 Constantin, Adrian; Kolev, Boris 228 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 224 2000 Stability of the Camassa-Holm solitons. Zbl 1022.35053 Constantin, A.; Strauss, W. A. 219 2002 On the inverse spectral problem for the Camassa-Holm equation. Zbl 0907.35009 Constantin, Adrian 149 1998 Pressure beneath a Stokes wave. Zbl 1423.76061 Constantin, Adrian; Strauss, Walter 138 2010 On the Cauchy problem for the periodic Camassa-Holm equation. Zbl 0889.35022 Constantin, Adrian 127 1997 Stability of a class of solitary waves in compressible elastic rods. Zbl 1115.74339 Constantin, Adrian; Strauss, Walter A. 123 2000 On the deep water wave motion. Zbl 0982.76015 Constantin, Adrian 114 2001 The dynamics of waves interacting with the equatorial undercurrent. Zbl 07658791 Constantin, A.; Johnson, R. S. 114 2015 Global weak solutions for a shallow water equation. Zbl 0930.35133 Constantin, Adrian; Escher, Joachim 112 1998 On geodesic exponential maps of the Virasoro group. Zbl 1121.35111 Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P. 108 2007 On the geometric approach to the motion of inertial mechanical systems. Zbl 1039.37068 Constantin, Adrian; Kolev, Boris 105 2002 Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007 Constantin, Adrian; Escher, Joachim 104 2004 Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076 Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik 101 2007 Edge waves along a sloping beach. Zbl 1005.76009 Constantin, Adrian 100 2001 Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203 Constantin, Adrian; Varvaruca, Eugen 100 2011 The Hamiltonian structure of the Camassa-Holm equation. Zbl 0881.35094 Constantin, Adrian 100 1997 Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139 Constantin, Adrian; Molinet, Luc 96 2001 Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294 Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen 95 2016 Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109 Constantin, Adrian 93 2005 Global solutions of the Hunter–Saxton equation. Zbl 1108.35024 Bressan, Alberto; Constantin, Adrian 90 2005 Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081 Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan 87 2010 Equatorial wave-current interactions. Zbl 1421.35102 Constantin, A.; Ivanov, R. I. 82 2019 Particle trajectories in extreme Stokes waves. Zbl 1250.35150 Constantin, Adrian 78 2012 On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083 Constantin, A. 77 2000 Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007 Constantin, A.; Johnson, R. S. 65 2008 Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024 Constantin, Adrian; Strauss, Walter 63 2011 Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007 Constantin, Adrian; Escher, Joachim 58 2004 Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009 Constantin, A.; Monismith, S. G. 57 2017 Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015 Constantin, A.; Johnson, R. S. 53 2017 Stability properties of steady water waves with vorticity. Zbl 1125.35081 Constantin, Adrian; Strauss, Walter A. 52 2007 Particle trajectories in linear water waves. Zbl 1162.76316 Constantin, Adrian; Villari, Gabriele 50 2008 Recovery of steady periodic wave profiles from pressure measurements at the bed. Zbl 1284.76065 Clamond, D.; Constantin, A. 48 2013 Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084 Constantin, A.; Ivanov, R. I.; Martin, C.-I. 47 2016 On the existence of positive solutions of second order differential equations. Zbl 1223.34041 Constantin, Adrian 46 2005 Harmonic maps and ideal fluid flows. Zbl 1290.76014 Aleman, A.; Constantin, A. 43 2012 A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021 Constantin, A.; Ivanov, R. I. 39 2015 The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere. Zbl 0852.57012 Constantin, Adrian; Kolev, Boris 38 1994 Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336 Constantin, A.; Kolev, B. 38 2006 The initial value problem for a generalized Boussinesq equation. Zbl 1161.35445 Constantin, Adrian; Molinet, Luc 36 2002 Particle trajectories in linear deep-water waves. Zbl 1154.35429 Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele 35 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 31 2017 On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025 Constantin, A. 29 2012 A general-weight Sturm-Liouville problem. Zbl 0913.34022 Constantin, Adrian 28 1997 Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020 Constantin, A. 28 2011 Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024 Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu 28 2011 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 the spectral problem for the periodic Camassa-Holm equation. Zbl 0881.35102 Constantin, Adrian 27 1997 Global solutions for quasilinear parabolic problems. Zbl 1004.35070 Constantin, Adrian; Escher, Joachim 26 2002 Positive solutions of quasilinear elliptic equations. Zbl 0891.35033 Constantin, Adrian 25 1997 On equatorial wind waves. Zbl 1289.86002 Constantin, Adrian 25 2013 On the modelling of large-scale atmospheric flow. Zbl 1469.76140 Constantin, A.; Johnson, R. S. 23 2021 Mean velocities in a Stokes wave. Zbl 1320.76016 Constantin, Adrian 23 2013 On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257 Constantin, Adrian; Johnson, Robin Stanley 20 2008 On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067 Constantin, Adrian; Lenells, Jonatan 20 2003 Existence of positive solutions of quasilinear elliptic equations. Zbl 0878.35040 Constantin, Adrian 19 1996 Positive solutions of Schrödinger equations in two-dimensional exterior domains. Zbl 0866.35031 Constantin, Adrian 19 1997 Generalized Fourier transform for the Camassa-Holm hierarchy. Zbl 1127.35045 Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I. 19 2007 Frictional effects in wind-driven ocean currents. Zbl 1482.86024 Constantin, Adrian 18 2021 On the Cauchy problem for a family of quasilinear hyperbolic equations. Zbl 0913.35091 Constantin, Adrian; Escher, Joachim 17 1998 Global solutions for quasilinear parabolic systems. Zbl 1043.35066 Constantin, Adrian; Escher, Joachim; Yin, Zhaoyang 17 2004 Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains. Zbl 0974.35033 Constantin, Adrian; Villari, Gabriele 16 2000 Global solutions of perturbed differential equations. (Solutions globales d’équations différentielles perturbées.) Zbl 0839.34002 Constantin, Adrian 16 1995 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 On Nagumo’s theorem. Zbl 1192.34014 Constantin, Adrian 15 2010 Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation. Zbl 0923.35126 Constantin, Adrian 14 1998 Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032 Constantin, Adrian; Ivanov, Rossen 14 2006 Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Zbl 1282.35283 Constantin, Adrian 14 2012 Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020 Constantin, A.; Kalimeris, K.; Scherzer, O. 12 2015 The flow beneath a periodic travelling surface water wave. Zbl 1310.76019 Constantin, Adrian 12 2015 On the asymptotic behavior of second order nonlinear differential equations. Zbl 0808.34050 Constantin, A. 12 1993 On the particle paths in solitary water waves. Zbl 1185.35182 Constantin, Adrian 12 2010 Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. Zbl 1500.76033 Constantin, A.; Germain, P. 12 2022 On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011 Constantin, Adrian; Lenells, Jonatan 10 2003 On an infinite interval boundary value problem. Zbl 0969.34024 Constantin, Adrian 10 1999 Soliton interactions for the Camassa-Holm equation. Zbl 0879.35121 Constantin, Adrian 10 1997 Global existence for fully parabolic boundary value problems. Zbl 1108.35091 Constantin, Adrian; Escher, Joachim 10 2006 A dynamical systems approach towards isolated vorticity regions for tsunami background states. Zbl 1294.35169 Constantin, Adrian 10 2011 On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027 Constantin, Adrian 10 2009 On the dynamics of the near-surface currents in the Arctic Ocean. Zbl 1512.86003 Constantin, A.; Johnson, R. S. 3 2023 A uniqueness criterion for ordinary differential equations. Zbl 1512.34018 Constantin, A. 2 2023 On Saturn’s six-sided polar jet stream. Zbl 1525.85003 Constantin, Adrian 1 2023 Exact nonlinear mountain waves propagating upwards. Zbl 1515.76133 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. 12 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. 23 2021 Frictional effects in wind-driven ocean currents. Zbl 1482.86024 Constantin, Adrian 18 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 A transformation between stationary point vortex equilibria. Zbl 1473.76013 Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian 5 2020 On the decrease of kinetic energy with depth in wave-current interactions. Zbl 1450.35256 Aleman, A.; Constantin, A. 3 2020 Equatorial wave-current interactions. Zbl 1421.35102 Constantin, A.; Ivanov, R. I. 82 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 Gerstner waves in the presence of mean currents and rotation. Zbl 1387.86009 Constantin, A.; Monismith, S. G. 57 2017 Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015 Constantin, A.; Johnson, R. S. 53 2017 Dressing method for the Degasperis-Procesi equation. Zbl 1365.35134 Constantin, Adrian; Ivanov, Rossen 31 2017 Global bifurcation of steady gravity water waves with critical layers. Zbl 1375.35294 Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen 95 2016 Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084 Constantin, A.; Ivanov, R. I.; Martin, C.-I. 47 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 2 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. 114 2015 A Hamiltonian approach to wave-current interactions in two-layer fluids. Zbl 1326.76021 Constantin, A.; Ivanov, R. I. 39 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 Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020 Constantin, A.; Kalimeris, K.; Scherzer, O. 12 2015 The flow beneath a periodic travelling surface water wave. Zbl 1310.76019 Constantin, Adrian 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. 48 2013 On equatorial wind waves. Zbl 1289.86002 Constantin, Adrian 25 2013 Mean velocities in a Stokes wave. Zbl 1320.76016 Constantin, Adrian 23 2013 Particle trajectories in extreme Stokes waves. Zbl 1250.35150 Constantin, Adrian 78 2012 Harmonic maps and ideal fluid flows. Zbl 1290.76014 Aleman, A.; Constantin, A. 43 2012 On the recovery of solitary wave profiles from pressure measurements. Zbl 1248.76025 Constantin, A. 29 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 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 317 2011 Nonlinear water waves with applications to wave-current interactions and tsunamis. Zbl 1266.76002 Constantin, Adrian 266 2011 Steady periodic water waves with constant vorticity: Regularity and local bifurcation. Zbl 1229.35203 Constantin, Adrian; Varvaruca, Eugen 100 2011 Periodic traveling gravity water waves with discontinuous vorticity. Zbl 1269.76024 Constantin, Adrian; Strauss, Walter 63 2011 Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train. Zbl 1222.76020 Constantin, A. 28 2011 Pressure beneath a solitary water wave: mathematical theory and experiments. Zbl 1281.76024 Constantin, Adrian; Escher, Joachim; Hsu, Hung-Chu 28 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 138 2010 Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081 Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan 87 2010 On Nagumo’s theorem. Zbl 1192.34014 Constantin, Adrian 15 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 610 2009 On the relevance of soliton theory to tsunami modelling. Zbl 1231.76027 Constantin, Adrian 10 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. 298 2008 Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007 Constantin, A.; Johnson, R. S. 65 2008 Particle trajectories in linear water waves. Zbl 1162.76316 Constantin, Adrian; Villari, Gabriele 50 2008 Particle trajectories in linear deep-water waves. Zbl 1154.35429 Constantin, Adrian; Ehrnström, Mats; Villari, Gabriele 35 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 20 2008 Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013 Bressan, Alberto; Constantin, Adrian 523 2007 Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378 Bressan, Alberto; Constantin, Adrian 342 2007 Particle trajectories in solitary water waves. Zbl 1126.76012 Constantin, Adrian; Escher, Joachim 303 2007 On geodesic exponential maps of the Virasoro group. Zbl 1121.35111 Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P. 108 2007 Symmetry of steady periodic gravity water waves with vorticity. Zbl 1151.35076 Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik 101 2007 Stability properties of steady water waves with vorticity. Zbl 1125.35081 Constantin, Adrian; Strauss, Walter A. 52 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. 19 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 486 2006 Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044 Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I. 241 2006 Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336 Constantin, A.; Kolev, B. 38 2006 Poisson structure and action-angle variables for the Camassa-Holm equation. Zbl 1137.37032 Constantin, Adrian; Ivanov, Rossen 14 2006 Global existence for fully parabolic boundary value problems. Zbl 1108.35091 Constantin, Adrian; Escher, Joachim 10 2006 Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006 Constantin, A.; Kolev, B.; Lenells, J. 10 2006 Finite propagation speed for the Camassa-Holm equation. Zbl 1076.35109 Constantin, Adrian 93 2005 Global solutions of the Hunter–Saxton equation. Zbl 1108.35024 Bressan, Alberto; Constantin, Adrian 90 2005 On the existence of positive solutions of second order differential equations. Zbl 1223.34041 Constantin, Adrian 46 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 239 2004 Symmetry of steady periodic surface water waves with vorticity. Zbl 1050.76007 Constantin, Adrian; Escher, Joachim 104 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 17 2004 Wave motion. Zbl 1077.76508 2 2004 Geodesic flow on the diffeomorphism group of the circle. Zbl 1037.37032 Constantin, Adrian; Kolev, Boris 228 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 \(H^k\) 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. 219 2002 ...and 73 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,858 Authors 116 Yin, Zhaoyang 82 Constantin, Adrian 58 Liu, Yue 50 Martin, Calin-Iulian 47 Qiao, Zhijun 38 Lai, Shaoyong 37 Henry, David 36 Escher, Joachim 34 Qu, Changzheng 34 Tian, Lixin 33 Zhou, Shouming 32 Mu, Chunlai 29 Ionescu-Kruse, Delia 28 Mi, Yongsheng 27 Ivanov, Rossen I. 27 Liu, Zhengrong 26 Guo, Boling 26 Guo, Zhengguang 25 Gao, Hongjun 25 Hsu, Hung-Chu 25 Lenells, Jonatan 24 Ehrnström, Mats 24 Mustafa, Octavian G. 24 Wang, Jinrong 23 Himonas, A. Alexandrou 22 Fečkan, Michal 22 Liu, Xingxing 21 Chen, Robin Ming 20 Fu, Ying 20 Holden, Helge 19 Kolev, Boris 19 Li, Yongsheng 19 Matioc, Bogdan-Vasile 18 Freire, Igor Leite 18 Li, Jinlu 18 Wahlén, Erik 18 Wheeler, Miles H. 18 Yan, Wei 17 Basu, Biswajit 17 Fan, Lili 17 Moon, Byungsoo 17 Yan, Kai 17 Yang, Shaojie 16 Geyer, Anna 16 Grunert, Katrin 16 Hur, Vera Mikyoung 16 Strauss, Walter Alexander 16 Wu, Xinglong 16 Zhu, Min 15 Gui, Guilong 15 Guo, Yunxi 15 Kozlov, Vladimir A. 15 Raynaud, Xavier 15 Zhou, Yong 14 Guan, Chunxia 14 Hu, Qiaoyi 14 Shen, Chunyu 14 Walsh, Samuel 14 Zhu, Mingxuan 13 Chu, Jifeng 13 Erkip, Albert Kohen 13 Guo, Fei 13 Marynets, Kateryna 13 Matioc, Anca-Voichita 12 Clamond, Didier 12 Fan, Engui 12 Kalisch, Henrik 12 Li, Fengquan 12 Lyons, Tony 12 Wang, Haiquan 12 Yu, Yanghai 12 Zhu, Weipeng 11 Coclite, Giuseppe Maria 11 Ding, Danping 11 Erbay, Saadet 11 Gasull, Armengol 11 Jiang, Zaihong 11 Liu, Xiaochuan 11 Ma, Ruyun 11 Novruzov, Emil B. 11 Preston, Stephen C. 11 Shepelsky, Dmitry 11 Tang, Hao 11 Wang, Ying 11 Wu, Yonghong 11 Yang, Yanjuan 11 Zhang, Lei 10 Bauer, Martin 10 Chen, Yong 10 Eckhardt, Jonathan 10 Lokharu, Evgeniy 10 Quirchmayr, Ronald 9 Boutet de Monvel, Anne Marie 9 Bressan, Alberto 9 Chen, Geng 9 Guo, Yingying 9 Karlsen, Kenneth Hvistendahl 9 Kogelbauer, Florian 9 Li, Nianhua 9 Liu, Jingjing ...and 1,758 more Authors all top 5 Cited in 303 Serials 223 Journal of Differential Equations 142 Nonlinear Analysis. 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