Martin, Calin Iulian; Petruşel, Adrian A fixed-point approach for azimuthal equatorial ocean flows. (English) Zbl 07485299 Appl. Anal. 101, No. 1, 217-224 (2022). MSC: 35Q31 35Q35 35Q86 47H10 PDF BibTeX XML Cite \textit{C. I. Martin} and \textit{A. Petruşel}, Appl. Anal. 101, No. 1, 217--224 (2022; Zbl 07485299) Full Text: DOI OpenURL
Basu, Biswajit; Martin, Calin I. An alternative approach to study irrotational periodic gravity water waves. (English) Zbl 1470.35266 Z. Angew. Math. Phys. 72, No. 4, Paper No. 155, 15 p. (2021). MSC: 35Q31 35Q35 76B15 35B32 35C07 35A01 35R35 PDF BibTeX XML Cite \textit{B. Basu} and \textit{C. I. Martin}, Z. Angew. Math. Phys. 72, No. 4, Paper No. 155, 15 p. (2021; Zbl 1470.35266) Full Text: DOI OpenURL
Martin, Calin Iulian Geophysical water flows with constant vorticity and centripetal terms. (English) Zbl 1464.35201 Ann. Mat. Pura Appl. (4) 200, No. 1, 101-116 (2021). MSC: 35Q31 35Q35 35Q86 86A05 76B15 76U05 PDF BibTeX XML Cite \textit{C. I. Martin}, Ann. Mat. Pura Appl. (4) 200, No. 1, 101--116 (2021; Zbl 1464.35201) Full Text: DOI OpenURL
Martin, Calin I. Some explicit solutions to the three-dimensional nonlinear water wave problem. (English) Zbl 1460.35273 J. Math. Fluid Mech. 23, No. 2, Paper No. 33, 9 p. (2021). MSC: 35Q31 76B15 76U05 PDF BibTeX XML Cite \textit{C. I. Martin}, J. Math. Fluid Mech. 23, No. 2, Paper No. 33, 9 p. (2021; Zbl 1460.35273) Full Text: DOI OpenURL
Basu, Biswajit; Martin, Calin-I. Capillary-gravity water waves: modified flow force formulation. (English) Zbl 1451.35119 J. Differ. Equations 269, No. 12, 11231-11251 (2020). MSC: 35Q31 76B15 76B45 35B32 35A01 35R35 PDF BibTeX XML Cite \textit{B. Basu} and \textit{C.-I. Martin}, J. Differ. Equations 269, No. 12, 11231--11251 (2020; Zbl 1451.35119) Full Text: DOI arXiv OpenURL
Henry, D.; Martin, C. I. Stratified equatorial flows in cylindrical coordinates. (English) Zbl 1447.35329 Nonlinearity 33, No. 8, 3889-3904 (2020). MSC: 35Q86 35Q31 35Q35 86A05 76U60 76B70 76E20 35R35 35A01 PDF BibTeX XML Cite \textit{D. Henry} and \textit{C. I. Martin}, Nonlinearity 33, No. 8, 3889--3904 (2020; Zbl 1447.35329) Full Text: DOI OpenURL
Martin, Calin Iulian; Quirchmayr, Ronald A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. (English) Zbl 1440.35256 Monatsh. Math. 192, No. 2, 401-407 (2020). MSC: 35Q31 35Q35 35Q86 86A05 76U60 PDF BibTeX XML Cite \textit{C. I. Martin} and \textit{R. Quirchmayr}, Monatsh. Math. 192, No. 2, 401--407 (2020; Zbl 1440.35256) Full Text: DOI arXiv OpenURL
Martin, Calin Iulian; Rodríguez-Sanjurjo, Adrián Dispersion relations for steady periodic water waves of fixed mean-depth with two rotational layers. (English) Zbl 1415.35224 Discrete Contin. Dyn. Syst. 39, No. 9, 5149-5169 (2019). MSC: 35Q31 35Q35 76U05 76B15 76E05 76B47 PDF BibTeX XML Cite \textit{C. I. Martin} and \textit{A. Rodríguez-Sanjurjo}, Discrete Contin. Dyn. Syst. 39, No. 9, 5149--5169 (2019; Zbl 1415.35224) Full Text: DOI OpenURL
Henry, D.; Martin, C. I. Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification. (English) Zbl 1412.35241 J. Differ. Equations 266, No. 10, 6788-6808 (2019). MSC: 35Q31 35Q35 35Q86 35R35 76E20 76U05 86A05 PDF BibTeX XML Cite \textit{D. Henry} and \textit{C. I. Martin}, J. Differ. Equations 266, No. 10, 6788--6808 (2019; Zbl 1412.35241) Full Text: DOI OpenURL
Henry, D.; Martin, C. I. Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates. (English) Zbl 1406.35251 Dyn. Partial Differ. Equ. 15, No. 4, 337-349 (2018). MSC: 35Q31 35Q35 35Q86 35R35 76E20 76U05 PDF BibTeX XML Cite \textit{D. Henry} and \textit{C. I. Martin}, Dyn. Partial Differ. Equ. 15, No. 4, 337--349 (2018; Zbl 1406.35251) Full Text: DOI OpenURL
Martin, Calin Iulian On the time evolution of the velocity in equatorial ocean waves approaching breaking. (English) Zbl 1398.35155 J. Evol. Equ. 18, No. 2, 615-626 (2018). MSC: 35Q31 35Q35 76B15 35R35 35B50 76U05 PDF BibTeX XML Cite \textit{C. I. Martin}, J. Evol. Equ. 18, No. 2, 615--626 (2018; Zbl 1398.35155) Full Text: DOI OpenURL
Martin, Calin Iulian Two-dimensionality of gravity water flows governed by the equatorial \(f\)-plane approximation. (English) Zbl 1382.35202 Ann. Mat. Pura Appl. (4) 196, No. 6, 2253-2260 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 35Q35 35Q86 76U05 76B15 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, Ann. Mat. Pura Appl. (4) 196, No. 6, 2253--2260 (2017; Zbl 1382.35202) Full Text: DOI OpenURL
Hsu, Hung-Chu; Martin, Calin Iulian On the existence of solutions and the pressure function related to the antarctic circumpolar current. (English) Zbl 1368.35214 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 285-293 (2017). MSC: 35Q31 35Q35 35Q86 76U05 86A05 35R35 PDF BibTeX XML Cite \textit{H.-C. Hsu} and \textit{C. I. Martin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 285--293 (2017; Zbl 1368.35214) Full Text: DOI OpenURL
Martin, Calin Iulian On the existence of free-surface azimuthal equatorial flows. (English) Zbl 1368.35215 Appl. Anal. 96, No. 7, 1207-1214 (2017). MSC: 35Q31 35Q35 35Q86 76U05 86A05 35R35 76D05 PDF BibTeX XML Cite \textit{C. I. Martin}, Appl. Anal. 96, No. 7, 1207--1214 (2017; Zbl 1368.35215) Full Text: DOI OpenURL
Ionescu-Kruse, Delia; Martin, Calin Iulian Periodic equatorial water flows from a Hamiltonian perspective. (English) Zbl 1358.35103 J. Differ. Equations 262, No. 8, 4451-4474 (2017). MSC: 35Q31 35Q35 76B15 76D33 12D10 76D50 86A05 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse} and \textit{C. I. Martin}, J. Differ. Equations 262, No. 8, 4451--4474 (2017; Zbl 1358.35103) Full Text: DOI OpenURL
Martin, Calin Iulian A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows. (English) Zbl 1364.35251 Discrete Contin. Dyn. Syst. 37, No. 1, 387-404 (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q31 35Q35 76B15 76D45 76D33 76B70 76U05 76B45 PDF BibTeX XML Cite \textit{C. I. Martin}, Discrete Contin. Dyn. Syst. 37, No. 1, 387--404 (2017; Zbl 1364.35251) Full Text: DOI OpenURL
Martin, Calin Iulian On the maximal horizontal surface velocity for a rotational water wave near breaking. (English) Zbl 1348.35176 Ann. Mat. Pura Appl. (4) 195, No. 5, 1659-1664 (2016). MSC: 35Q31 35Q35 76B15 35R35 35B50 PDF BibTeX XML Cite \textit{C. I. Martin}, Ann. Mat. Pura Appl. (4) 195, No. 5, 1659--1664 (2016; Zbl 1348.35176) Full Text: DOI OpenURL
Hsu, Hung-Chu; Martin, Calin Iulian Free-surface capillary-gravity azimuthal equatorial flows. (English) Zbl 1346.35153 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 1-9 (2016). MSC: 35Q31 35Q35 35Q86 76U05 86A05 PDF BibTeX XML Cite \textit{H.-C. Hsu} and \textit{C. I. Martin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 1--9 (2016; Zbl 1346.35153) Full Text: DOI OpenURL
Constantin, A.; Ivanov, R. I.; Martin, C.-I. Hamiltonian formulation for wave-current interactions in stratified rotational flows. (English) Zbl 1344.35084 Arch. Ration. Mech. Anal. 221, No. 3, 1417-1447 (2016). MSC: 35Q31 76B15 86A05 35R35 76B55 76U05 76B70 PDF BibTeX XML Cite \textit{A. Constantin} et al., Arch. Ration. Mech. Anal. 221, No. 3, 1417--1447 (2016; Zbl 1344.35084) Full Text: DOI OpenURL
Martin, Calin Iulian Hamiltonian structure for rotational capillary waves in stratified flows. (English) Zbl 1341.35106 J. Differ. Equations 261, No. 1, 373-395 (2016). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q31 35Q35 76B15 76D45 76D33 PDF BibTeX XML Cite \textit{C. I. Martin}, J. Differ. Equations 261, No. 1, 373--395 (2016; Zbl 1341.35106) Full Text: DOI OpenURL
Martin, Calin Iulian Dynamics of the thermocline in the equatorial region of the Pacific Ocean. (English) Zbl 1420.35216 J. Nonlinear Math. Phys. 22, No. 4, 516-522 (2015). MSC: 35Q31 35Q35 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, J. Nonlinear Math. Phys. 22, No. 4, 516--522 (2015; Zbl 1420.35216) Full Text: DOI OpenURL
Martin, Calin Iulian Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity. (English) Zbl 1334.35245 Nonlinear Anal., Real World Appl. 21, 27-33 (2015). MSC: 35Q35 35B65 35Q31 76B03 76B15 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, Nonlinear Anal., Real World Appl. 21, 27--33 (2015; Zbl 1334.35245) Full Text: DOI OpenURL
Martin, Calin Iulian Dispersion relations for periodic water waves with surface tension and discontinuous vorticity. (English) Zbl 1292.35220 Discrete Contin. Dyn. Syst. 34, No. 8, 3109-3123 (2014). MSC: 35Q31 35Q35 76D33 76D45 12D10 PDF BibTeX XML Cite \textit{C. I. Martin}, Discrete Contin. Dyn. Syst. 34, No. 8, 3109--3123 (2014; Zbl 1292.35220) Full Text: DOI OpenURL