Using a hydrostatic Lagrangian transformation and H∞-calculus for the associated hydrostatic Lamé and Stokes operators, the authors prove local and global strong well-posedness for compressible primitive equations under several pressure laws, including with gravity.
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The Lagrangian approach to the compressible primitive equations
Using a hydrostatic Lagrangian transformation and H∞-calculus for the associated hydrostatic Lamé and Stokes operators, the authors prove local and global strong well-posedness for compressible primitive equations under several pressure laws, including with gravity.