 R. I. Ivanov and C.I. Martin. Hamiltonian approach to modelling interfacial internal waves over variable bottom , Physica D: Nonlinear Phenomena, 433 (2022), 133190.
 C.I. Martin. Some explicit solutions of the threedimensional Euler equations with a free surface , Mathematische Annalen 2021.
 C.I. Martin and R. Quirchmayr. Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates, Stud. Appl. Math. 148 (2022), no. 3, 1021  1039.
 C.I. Martin. On flow simplification occurring in viscous threedimensional water flows with constant nonvanishing vorticity, Appl. Math. Letters 124 (2022), 107690.
 C.I. Martin. On threedimensional freesurface water flows with constant vorticity , Comm. Pure Appl. Anal. 21 (2022), no. 7, 24152431.
 C.I. Martin. On azimuthally propagating equatorial atmospheric waves , Monatsh. Math. (2022), in press.
 C.I. Martin and A. Petrusel Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude, Ann. Mat.Pura Appl. 201 (2022), no. 6, 26772690.
 C.I. Martin and B. Basu An alternative approach to study irrotational periodic gravity water waves, Z. Angew. Math. Phys. 72 (2021), no. 4, 155.
 B. Basu, L. Chen and C.I. Martin. On rotational flows with discontinuous vorticity beneath steady water waves near stagnation, J. Fluid Mechanics 912 (2021), A44.
 C.I. Martin. Some explicit solutions to the threedimensional nonlinear water wave problem , J. Math. Fluid Mech. 23 (2021), Paper no. 33.
 C.I. Martin. Azimuthal equatorial flows in spherical coordinates with discontinuous stratification, Phys. Fluids. 33 (2021), 026602.
 C.I. Martin and B. Basu. Resonances for water waves over flows with piecewise constant vorticity , Nonlinear Analysis: Real World Applications 57 (2021), 103176.
 C.I. Martin. Geophysical water flows with constant vorticity and centripetal terms , Ann. Mat. Pura Appl. 200 (2021), 101116.
 B. Basu and C.I. Martin. Capillarygravity water waves: Modified flow force formulation , J. Differential Equations 269 (2020), 1123111251.
 D. Henry and C.I. Martin. Stratified equatorial flows in cylindrical coordinates , Nonlinearity 33 (2020) 38893904.
 C.I. Martin and R. Quirchmayr. A model for the Antarctic Circumpolar Current with eddy viscosity and variable density , Monatshefte Math. 192 (2020), 401407.
 C.I. Martin and A. Petrusel. A fixedpoint approach for azimuthal equatorial ocean flows , to appear in Applicable Analysis.
 R. I. Ivanov and C.I. Martin. On the timeevolution of resonant triads in rotational capillarygravity water waves , Physics of Fluids 31 (2019) no. 11, 117103.
 C.I. Martin and R. Quirchmayr. Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates , J. Math. Phys. 60 (2019) no. 10, 101505.
 C.I. Martin. Constant vorticity water flows with full Coriolis term , Nonlinearity 32 (2019) no. 7, 23272336.
 C.I. Martin and A. RodriguezSanjurjo. Dispersion relations for steady periodic water waves of fixed meandepth with two rotational layers , Discrete Contin. Dyn. Syst. A 39 (2019) no. 9, 51495169.
 D. Henry and C.I. Martin. Exact, freesurface equatorial flows with general stratification in spherical coordinates, Arch. Ration. Mech. Anal. 233 (2019) no. 1, 497512.
 C.I. Martin. On constant vorticity water flows in the βplane approximation, J. Fluid Mechanics 865 (2019), 762774.
 M. Kluczek and C.I. Martin. Dispersion relations for fixed meandepth flows with two discontinuities in vorticity, Nonlinear Analysis: Theory, Methods
and Applications 181 (2019), 6286.
 D. Henry and C.I. Martin. Freesurface, purely azimuthal equatorial flows in spherical coordinates with stratification, J. Differential Equations 266 (2019), no. 10, 67886808.
 A. Compelli, R. I. Ivanov, C.I. Martin and M. Todorov. Surface waves over currents and uneven bottom DeepSea Research, Part II 160 (2019), 2531.
 C.I. Martin. On the vorticity of mesoscale ocean currents, Oceanography 31 (2018) no. 3, 2835.
 C.I. Martin. Nonexistence of timedependent threedimensional gravity water flows with constant nonzero vorticity, Physics of Fluids 30 (2018) no. 10, 107102 .
 B. Basu and C.I. Martin. Resonant interactions of rotational water waves in the equatorial fplane approximation, J. Math. Phys. 59 (2018) no. 10, 103101 .
 D. Henry and C.I. Martin. Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates, Dynamics of Partial Differential Equations 15 (2018), no. 4, 337349.
 C.I. Martin. On the time evolution of the velocity in equatorial ocean waves approaching breaking, J. Evolution Equations 18 (2018), no. 2, 615626.
 C.I. Martin. On periodic geophysical water flows with discontinuous vorticity in the equatorial fplane approximation, Phil. Trans. R. Soc. A. 376 (2018), 20170096
 D. IonescuKruse and C. I. Martin. Local stability for an exact steady purely azimuthal equatorial flow, J. Math. Fluid Mech. 20 (2018), no. 1, 2734.
 C.I. Martin. Two dimensionality of gravity water flows governed by the equatorial fplane approximation, Annali di Matematica Pura ed Applicata 196 (2017) no. 6, 22532260
 H.C. Hsu and C.I. Martin. On the existence of solutions and the pressure function related to the Antarctic Circumpolar Current, Nonlinear Analysis: Theory, Methods and Applications 155 (2017), 285293.
 H.C. Hsu and C.I. Martin. Azimuthal equatorial capillarygravity flows in spherical coordinates, Nonlinear Analysis Series B: Real World Applications 36 (2017), 278286.
 D. IonescuKruse and C. I. Martin. Periodic Equatorial water flows from a Hamiltonian perspective, J. Differential Equations 262 (2017) no. 8, 44514474.
 C.I. Martin. Resonant interactions of capillarygravity water waves, J. Math. Fluid Mech. 19 (2017), no. 4, 807817.
 C.I. Martin. Surface tension effects in the equatorial ocean dynamics, Monatshefte für Mathematik 182 (2017) no. 3, 675682
 C.I. Martin. A Hamiltonian approach for nonlinear rotational capillarygravity water waves in stratified flows, DCDSA 37 (2017), no. 1, 387404.
 C.I. Martin. On the existence of freesurface azimuthal equatorial flows, Applicable Analysis 96 (2017) no. 7, 12071214.
 H.C. Hsu and C.I. Martin. Freesurface capillarygravity azimuthal equatorial flows , Nonlinear Analysis: Theory, Methods & Applications, 144 (2016), 19.
 C.I. Martin. Hamiltonian structure for rotational capillary waves in stratified flows, J. Differential Equations, 261 (2016), no. 1, 373395.
 A. Constantin, R. Ivanov and C.I. Martin. Hamiltonian formulation for wavecurrent interactions in stratified rotational flows, Arch. Ration. Mech. Anal. 221 (2016), 14171447.
 C.I. Martin. On the maximal horizontal surface velocity for a rotational water wave near breaking, Annali di Matematica Pura ed Applicata 195 (2016), no. 5, 16591664.
 C.I. Martin and B.V. Matioc. Gravity water flows with discontinuous vorticity and stagnation points, Comm. Math. Sciences, (14), No. 2, 415441, (2016).
 C.I. Martin. Dynamics of the thermocline in the equatorial region of the Pacific Ocean, J. Nonl. Math. Phys., 22 (2015), no. 4, 516522.
 C.I. Martin. Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity,, Nonlinear Analysis: Real World Applications, (21), 2733, (2015).
 C.I. Martin. Dispersion relations for gravity water flows with two rotational layers, European J. Mechanics B/Fluids, (50), 918, (2015).
 C.I. Martin. Dispersion relations for flows having two jumps in the vorticity distribution J. Math. Analysis and Applications, (418), No.2, 595611, (2014).
 C.I. Martin and B.V. Matioc. Steady periodic water waves with unbounded vorticity: Equivalent formulations and existence results, J. Nonlinear Science, (24), No. 4, 633659, (2014).
 C.I. Martin and B.V. Matioc. Existence of capillarygravity water waves with piecewise constant vorticity, J. Diff. Equations, (256), 30863114, (2014).
 C.I. Martin. Dispersion relations for periodic water waves with surface tension and discontinuous vorticity, Discrete Cont. Dyn. Sys. Ser. A. (34), No. 8, 31093123, (2014).
 C.I. Martin. Equatorial wind waves with capillary effects and stagnation points, Nonlinear Analysis: Theory, Methods and Applications, (96), 118, (2014).
 C.I. Martin. On the Crapper's wave, Applicable Analysis, (93), No. 5, 11061113, (2014).
 C.I. Martin and B.V. Matioc. Existence of Wilton ripples for water waves with constant vorticity and capillary effects, SIAM J. Appl. Math, (73), No.4, 15821595, (2013).
 C.I. Martin. A regularity result for Calderón commutators, Monatshefte für Mathematik, (172), No.1, 8596, (2013).
 C.I. Martin. Local bifurcation and regularity for steady periodic capillarygravity water waves with constant vorticity, Nonlinear Anal. Real World Appl. (14), No.1, 131149, (2013).
 C.I. Martin. Local bifurcation for steady periodic capillary water waves with constant vorticity, J. Math. Fluid Mech., (15), No.1, 155170, (2013).
 C.I. Martin. Regularity of steady periodic capillary water waves with constant vorticity, J. Nonlinear Math. Phys., (19), Suppl.1, 1240006, 7pp, (2012).
 C.I. Martin. The generalized dock problem, Applicable Analysis, (90), No.5, 843859, (2011).
 C.I. Martin and B.W. Schulze. Parameter dependent Edge Operators. Annals of Global Analysis and Geometry, (38), 2, 171190, (2010).
 C.I. Martin. Corner operators and applications to elliptic complexes. Fields Institute Communications, Vol. 52, 85130, (2007).
 C.I. Martin and B.W. Schulze. The quantisation of edge symbols. Operator Theory: Advances and Applications, Vol. 172, 131, Birkhaeuser Verlag, Basel, (2006).
 D. Calvo, C.I. Martin, and B.W. Schulze. Symbolic structures on corner manifolds. In: RIMS Kokyuroku, 1397, 2235, (2004).
