A New Class of Exact Time-Dependent Solutions of the Vorticity Equation

Michel Rochas Direction de la Météorologie, EERM, 92106 Boulogne, France

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Abstract

A new class of exact time-dependent solutions of the vorticity equation for nondivergent barotropic flows, which generalizes the previous solutions, is derived. An important characteristic of the new solutions is that the amplitudes of the waves described are time dependent, not just their phases as in Ertel's solutions.

Abstract

A new class of exact time-dependent solutions of the vorticity equation for nondivergent barotropic flows, which generalizes the previous solutions, is derived. An important characteristic of the new solutions is that the amplitudes of the waves described are time dependent, not just their phases as in Ertel's solutions.

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