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| The talk will discuss the internal waves moving under the gravity in stratified fluids. First, it is assumed the fluid is bounded above and below by horizontal rigid plates and the density is stratified vertically. Using Sturm-Liouville theory, it is shown that if the amplitudes of the waves are small and the wave lengths are long, then the approximating model equations are the classical Boussinesq systems of infinite dimensions. Similar systems can be derived for internal gravity waves in stratified fluids with free surfaces. |
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