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Global well-posedness of regular solutions to the 1-D reduced gravity two-and-a-half layer model

Global well-posedness of regular solutions to the 1-D reduced gravity two-and-a-half layer model

In this paper, we establish the global existence and uniqueness of regular solutions to the Cauchy problem for the reduced gravity two-and-a-half layer model with large data in 1-D. In view of the singular structure of this model, we introduce some new variables, combining with the Bresch-Desjardins entropy estimates and …