Global existence and decay estimates of solutions for the compressible Prandtl type equations with small analytic data

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cauchy-Kovalevskaya theorems (35A10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

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