General Problem Formulation of Wind Wave Modelling in a Non-Uniform Ocean

The evolution of wind waves should be considered as the self-consistent mo­tion of a two-layer water-air system under the corresponding dynamic and kinematic conditions in the two-media interface. The media motion is as­sumed to be determined by the laws of mass and momentum conservation. The former (i.e., the law of mass conservation) is written as: 1.1% MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaaca % WGKbGaeqyWdi3aaSbaaSqaaiaadMgaaeqaaaGcbaGaamizaiaadsha % aaGaey4kaSIaeqyWdi3aaSbaaSqaaiaadMgaaeqaaOGaamizaiaadM % gacaWG2bWaaeWaaeaacaWGvbWaaSbaaSqaaiaadMgaaeqaaaGccaGL % OaGaayzkaaGaeyypa0JaaGimaiaacYcaaaa!4843!]></EquationSource><EquationSource Format="TEX"><![CDATA[$$\frac{{d{\rho _i}}}{{dt}} + {\rho _i}div\left( {{U_i}} \right) = 0,$$ where p _i is the air (i = 1) or water (i = 2) density, respectively; U _i is the velocity of the medium motion.