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Dispersion Estimates and Asymptotics for the Inviscid Boussinesq Equations with Stable Stratification

  • Ryo Takada

摘要

We review the results in [30, 32] on the initial value problem for the inviscid Boussinesq equations with stable stratification in two and three spatial dimensions. We discuss the dispersive and the space-time estimates for the linear propagators, and the convergences of solutions in the strongly stratified limit.