## Martin, Calin-Iulian

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 Author ID: martin.calin-iulian Published as: Martin, Calin Iulian; Martin, C. I.; Martin, C.-I.; Martin, Calin I.; Martin, Calin-I.; Iulian Martin, Calin; Martin, Calin-Iulian External Links: ORCID
 Documents Indexed: 62 Publications since 1984, including 1 Book Reviewing Activity: 6 Reviews Co-Authors: 13 Co-Authors with 27 Joint Publications 258 Co-Co-Authors
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### Co-Authors

 28 single-authored 5 Basu, Biswajit 4 Henry, David 4 Matioc, Bogdan-Vasile 3 Hsu, Hung-Chu 2 Ionescu-Kruse, Delia 2 Ivanov, Rossen I. 2 Quirchmayr, Ronald 2 Schulze, Bert-Wolfgang 1 Baumann, William T. 1 Constantin, Adrian 1 Dormido, Sebastián 1 Dragon, André 1 Güémez, J. 1 Hurley, Mike 1 Kluczek, Mateusz 1 Legret, M. 1 Matías, Manuel A. 1 Petruşel, Adrian 1 Ranalli, J. 1 Rodríguez-Sanjurjo, Adrián 1 Ruperd, Y. 1 Todorov, Michail D. 1 Trumel, Hervé 1 Urquia, Alfonso 1 Vandsburger, U.
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### Serials

 5 Journal of Differential Equations 4 Applicable Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Fluid Mechanics 4 Nonlinear Analysis. Real World Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Monatshefte für Mathematik 3 Discrete and Continuous Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Nonlinearity 2 Journal of Nonlinear Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annals of Global Analysis and Geometry 1 Physica D 1 Applied Mathematics Letters 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 European Journal of Mechanics. B. Fluids 1 Combustion Theory and Modelling 1 Journal of Evolution Equations 1 Communications in Information and Systems 1 Communications in Mathematical Sciences 1 Dynamics of Partial Differential Equations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 48 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 20 Geophysics (86-XX) 5 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 359 times in 123 Documents Cited by Year
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
2016
Newton’s algorithm and chaotic dynamical systems. Zbl 0588.65033
Hurley, M.; Martin, C.
1984
Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity. Zbl 1254.76025
Martin, Calin Iulian
2013
On the existence of solutions and the pressure function related to the antarctic circumpolar current. Zbl 1368.35214
Hsu, Hung-Chu; Martin, Calin Iulian
2017
On the existence of free-surface azimuthal equatorial flows. Zbl 1368.35215
Martin, Calin Iulian
2017
Exact, free-surface equatorial flows with general stratification in spherical coordinates. Zbl 1417.35203
Henry, D.; Martin, C. I.
2019
Existence of capillary-gravity water waves with piecewise constant vorticity. Zbl 1442.76025
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2014
Free-surface capillary-gravity azimuthal equatorial flows. Zbl 1346.35153
Hsu, Hung-Chu; Martin, Calin Iulian
2016
Local stability for an exact steady purely azimuthal equatorial flow. Zbl 1394.76020
Ionescu-Kruse, Delia; Martin, Calin Iulian
2018
Resonant interactions of capillary-gravity water waves. Zbl 1395.76015
Martin, Calin Iulian
2017
Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results. Zbl 1300.35099
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2014
Existence of Wilton ripples for water waves with constant vorticity and capillary effects. Zbl 1314.76016
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2013
Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification. Zbl 1412.35241
Henry, D.; Martin, C. I.
2019
Equatorial wind waves with capillary effects and stagnation points. Zbl 1283.35146
Martin, Calin Iulian
2014
Periodic equatorial water flows from a Hamiltonian perspective. Zbl 1358.35103
Ionescu-Kruse, Delia; Martin, Calin Iulian
2017
Dispersion relations for gravity water flows with two rotational layers. Zbl 1408.76081
Martin, Calin Iulian
2015
Explicit and exact solutions concerning the antarctic circumpolar current with variable density in spherical coordinates. Zbl 1427.76076
Martin, Calin Iulian; Quirchmayr, Ronald
2019
Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251
Henry, D.; Martin, C. I.
2018
On constant vorticity water flows in the $$\beta$$-plane approximation. Zbl 1415.76077
Martin, Calin Iulian
2019
Two-dimensionality of gravity water flows governed by the equatorial $$f$$-plane approximation. Zbl 1382.35202
Martin, Calin Iulian
2017
Local bifurcation for steady periodic capillary water waves with constant vorticity. Zbl 1411.76014
Martin, Calin Iulian
2013
Constant vorticity water flows with full Coriolis term. Zbl 1420.35244
Iulian Martin, Calin
2019
Resonant interactions of rotational water waves in the equatorial $$f$$-plane approximation. Zbl 1402.76025
Basu, B.; Martin, C. I.
2018
Gravity water flows with discontinuous vorticity and stagnation points. Zbl 1332.35294
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2016
On periodic geophysical water flows with discontinuous vorticity in the equatorial $$f$$-plane approximation. Zbl 1404.76048
Martin, Calin Iulian
2018
Hamiltonian structure for rotational capillary waves in stratified flows. Zbl 1341.35106
Martin, Calin Iulian
2016
Dispersion relations for periodic water waves with surface tension and discontinuous vorticity. Zbl 1292.35220
Martin, Calin Iulian
2014
Dispersion relations for rotational gravity water flows having two jumps in the vorticity distribution. Zbl 1426.76072
Martin, Calin Iulian
2014
Dynamics of the thermocline in the equatorial region of the Pacific Ocean. Zbl 1420.35216
Martin, Calin Iulian
2015
Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity. Zbl 1334.35245
Martin, Calin Iulian
2015
Capillary-gravity water waves: modified flow force formulation. Zbl 1451.35119
Basu, Biswajit; Martin, Calin-I.
2020
On the maximal horizontal surface velocity for a rotational water wave near breaking. Zbl 1348.35176
Martin, Calin Iulian
2016
Azimuthal equatorial capillary-gravity flows in spherical coordinates. Zbl 1387.86014
Hsu, Hung-Chu; Martin, Calin Iulian
2017
A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. Zbl 1440.35256
Martin, Calin Iulian; Quirchmayr, Ronald
2020
On the behavior of coupled chaotic systems exhibiting marginal synchronization. Zbl 0962.37505
Matías, M. A.; Güémez, J.; Martín, C.
1997
Dispersion relations for steady periodic water waves of fixed mean-depth with two rotational layers. Zbl 1415.35224
2019
A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows. Zbl 1364.35251
Martin, Calin Iulian
2017
Surface tension effects in the equatorial ocean dynamics. Zbl 1365.35124
Martin, Calin Iulian
2017
Regularity of steady periodic capillary water waves with constant vorticity. Zbl 1362.76020
Martin, Calin Iulian
2012
Stratified equatorial flows in cylindrical coordinates. Zbl 1447.35329
Henry, D.; Martin, C. I.
2020
Urban stormwater drainage management: the development of a multicriteria decision aid approach for best management practices. Zbl 1121.90364
Martin, C.; Ruperd, Y.; Legret, M.
2007
Dispersion relations for fixed mean-depth flows with two discontinuities in vorticity. Zbl 1416.35208
Kluczek, Mateusz; Martin, Calin Iulian
2019
Parameter-dependent edge operators. Zbl 1204.58018
Martin, C.-I.; Schulze, B.-W.
2010
Capillary-gravity water waves: modified flow force formulation. Zbl 1451.35119
Basu, Biswajit; Martin, Calin-I.
2020
A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. Zbl 1440.35256
Martin, Calin Iulian; Quirchmayr, Ronald
2020
Stratified equatorial flows in cylindrical coordinates. Zbl 1447.35329
Henry, D.; Martin, C. I.
2020
Exact, free-surface equatorial flows with general stratification in spherical coordinates. Zbl 1417.35203
Henry, D.; Martin, C. I.
2019
Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification. Zbl 1412.35241
Henry, D.; Martin, C. I.
2019
Explicit and exact solutions concerning the antarctic circumpolar current with variable density in spherical coordinates. Zbl 1427.76076
Martin, Calin Iulian; Quirchmayr, Ronald
2019
On constant vorticity water flows in the $$\beta$$-plane approximation. Zbl 1415.76077
Martin, Calin Iulian
2019
Constant vorticity water flows with full Coriolis term. Zbl 1420.35244
Iulian Martin, Calin
2019
Dispersion relations for steady periodic water waves of fixed mean-depth with two rotational layers. Zbl 1415.35224
2019
Dispersion relations for fixed mean-depth flows with two discontinuities in vorticity. Zbl 1416.35208
Kluczek, Mateusz; Martin, Calin Iulian
2019
Local stability for an exact steady purely azimuthal equatorial flow. Zbl 1394.76020
Ionescu-Kruse, Delia; Martin, Calin Iulian
2018
Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. Zbl 1406.35251
Henry, D.; Martin, C. I.
2018
Resonant interactions of rotational water waves in the equatorial $$f$$-plane approximation. Zbl 1402.76025
Basu, B.; Martin, C. I.
2018
On periodic geophysical water flows with discontinuous vorticity in the equatorial $$f$$-plane approximation. Zbl 1404.76048
Martin, Calin Iulian
2018
On the existence of solutions and the pressure function related to the antarctic circumpolar current. Zbl 1368.35214
Hsu, Hung-Chu; Martin, Calin Iulian
2017
On the existence of free-surface azimuthal equatorial flows. Zbl 1368.35215
Martin, Calin Iulian
2017
Resonant interactions of capillary-gravity water waves. Zbl 1395.76015
Martin, Calin Iulian
2017
Periodic equatorial water flows from a Hamiltonian perspective. Zbl 1358.35103
Ionescu-Kruse, Delia; Martin, Calin Iulian
2017
Two-dimensionality of gravity water flows governed by the equatorial $$f$$-plane approximation. Zbl 1382.35202
Martin, Calin Iulian
2017
Azimuthal equatorial capillary-gravity flows in spherical coordinates. Zbl 1387.86014
Hsu, Hung-Chu; Martin, Calin Iulian
2017
A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows. Zbl 1364.35251
Martin, Calin Iulian
2017
Surface tension effects in the equatorial ocean dynamics. Zbl 1365.35124
Martin, Calin Iulian
2017
Hamiltonian formulation for wave-current interactions in stratified rotational flows. Zbl 1344.35084
Constantin, A.; Ivanov, R. I.; Martin, C.-I.
2016
Free-surface capillary-gravity azimuthal equatorial flows. Zbl 1346.35153
Hsu, Hung-Chu; Martin, Calin Iulian
2016
Gravity water flows with discontinuous vorticity and stagnation points. Zbl 1332.35294
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2016
Hamiltonian structure for rotational capillary waves in stratified flows. Zbl 1341.35106
Martin, Calin Iulian
2016
On the maximal horizontal surface velocity for a rotational water wave near breaking. Zbl 1348.35176
Martin, Calin Iulian
2016
Dispersion relations for gravity water flows with two rotational layers. Zbl 1408.76081
Martin, Calin Iulian
2015
Dynamics of the thermocline in the equatorial region of the Pacific Ocean. Zbl 1420.35216
Martin, Calin Iulian
2015
Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity. Zbl 1334.35245
Martin, Calin Iulian
2015
Existence of capillary-gravity water waves with piecewise constant vorticity. Zbl 1442.76025
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2014
Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results. Zbl 1300.35099
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2014
Equatorial wind waves with capillary effects and stagnation points. Zbl 1283.35146
Martin, Calin Iulian
2014
Dispersion relations for periodic water waves with surface tension and discontinuous vorticity. Zbl 1292.35220
Martin, Calin Iulian
2014
Dispersion relations for rotational gravity water flows having two jumps in the vorticity distribution. Zbl 1426.76072
Martin, Calin Iulian
2014
Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity. Zbl 1254.76025
Martin, Calin Iulian
2013
Existence of Wilton ripples for water waves with constant vorticity and capillary effects. Zbl 1314.76016
Martin, Calin Iulian; Matioc, Bogdan-Vasile
2013
Local bifurcation for steady periodic capillary water waves with constant vorticity. Zbl 1411.76014
Martin, Calin Iulian
2013
Regularity of steady periodic capillary water waves with constant vorticity. Zbl 1362.76020
Martin, Calin Iulian
2012
Parameter-dependent edge operators. Zbl 1204.58018
Martin, C.-I.; Schulze, B.-W.
2010
Urban stormwater drainage management: the development of a multicriteria decision aid approach for best management practices. Zbl 1121.90364
Martin, C.; Ruperd, Y.; Legret, M.
2007
On the behavior of coupled chaotic systems exhibiting marginal synchronization. Zbl 0962.37505
Matías, M. A.; Güémez, J.; Martín, C.
1997
Newton’s algorithm and chaotic dynamical systems. Zbl 0588.65033
Hurley, M.; Martin, C.
1984
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### Cited by 87 Authors

 37 Martin, Calin-Iulian 10 Marynets, Kateryna 8 Chu, Jifeng 8 Ionescu-Kruse, Delia 7 Hsu, Hung-Chu 7 Matioc, Bogdan-Vasile 6 Basu, Biswajit 6 Fan, Lili 6 Fečkan, Michal 6 Ivanov, Rossen I. 6 Wang, Jinrong 5 Yang, Yanjuan 4 Escher, Joachim 4 Gao, Hongjun 4 Henry, David 3 Quirchmayr, Ronald 3 Wang, Xun 3 Zhang, Wenlin 2 Chen, Yang-Yih 2 Compelli, Alan C. 2 Constantin, Adrian 2 Ding, Qixing 2 Ehrnström, Mats 2 Johnson, Mathew A. 2 Kluczek, Mateusz 2 Novruzov, Emil B. 2 Rodríguez-Sanjurjo, Adrián 2 Todorov, Michail D. 2 Wahlén, Erik 2 Wang, Lingjun 1 Abid, Malek 1 Aivaliotis, Alexios 1 Akers, Benjamin F. 1 Ambrose, David M. 1 Banner, Michael L. 1 Berti, Massimiliano 1 Braga, J. Ederson M. 1 Chan, Hiu Ning 1 Chen, Yingying 1 Chow, Kwok Wing 1 Cullen, Joseph 1 Fontelos López, Marco Antonio 1 Franzoi, Laura 1 Grimshaw, Roger Hamilton James 1 Groves, Mark D. 1 Guan, Yi 1 Haziot, Susanna V. 1 Hur, Vera Mikyoung 1 Johnson, Robin Stanley 1 Kalimeris, Konstantinos 1 Kharif, Christian 1 Knopf, Patrik 1 Kogelbauer, Florian 1 Le, Hung 1 Lecaros, Rodrigo 1 Li, Haochen 1 Li, Meng-Syue 1 Lienstromberg, Christina 1 Liu, Tianyang 1 Liu, Yue 1 López-Ríos, Juan C. 1 Maehlen, Ola I. H. 1 Maspero, Alberto 1 Matioc, Anca-Voichita 1 Miao, Fahe 1 Nachbin, André 1 Okamoto, Hisashi 1 O’Regan, Donal 1 Ortega, Jaime H. 1 Petruşel, Adrian 1 Remonato, Filippo 1 Ribeiro-Junior, Roberto 1 Roberti, Luigi 1 Sastre-Gómez, Silvia 1 Shao, Yuanzhen 1 Shen, Shuge 1 Shōji, Mayumi 1 Stiassnie, Michael Aharon 1 Stuhlmeier, Raphael 1 Sulon, David W. 1 Touboul, Julien 1 Umeyama, Motohiko 1 Villari, Gabriele 1 Wen, Qian 1 Wheeler, Miles H. 1 Zhang, Zhi 1 Zou, Qingping
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### Cited in 31 Serials

 16 Journal of Mathematical Fluid Mechanics 15 Monatshefte für Mathematik 13 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Nonlinear Analysis. Real World Applications 8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Discrete and Continuous Dynamical Systems 5 Applicable Analysis 5 Journal of Fluid Mechanics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 2 Communications in Mathematical Physics 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Nonlinear Science 2 European Journal of Mechanics. B. Fluids 2 Journal of Evolution Equations 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Advances in Nonlinear Analysis 1 Water Waves
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### Cited in 16 Fields

 106 Fluid mechanics (76-XX) 85 Partial differential equations (35-XX) 56 Geophysics (86-XX) 9 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 2 Field theory and polynomials (12-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)