Tropical Cyclones' (TCs) intensity heavily depends on the processes occurring at the air-sea interface. TCs draw their energy from the warmth of the ocean surface but they induce a sea surface cooling (Cold Wake CW) that negatively feeds back on their intensity. This dissertation first describes the processes explaining the surface cooling along with the characteristics of the TC and of the ocean that control its magnitude. Three main processes participate in the CW : vertical mixing, surface heat fluxes (mainly evaporation) and advection. By mixing together warm water from the surface and cold water from below, the first process cools the surface while warming the sub-surface. Mixing is responsible for the major part of the cooling right u...