Global‐in‐time well‐posedness of solutions for the 2D hyperbolic Prandtl equations in an analytic framework

Abstract

In this paper, we consider the 2D hyperbolic Prandtl equations on the half plane. Firstly, we obtain the global existence of solutions by using the classical energy methods in an analytic framework. Then, we prove the uniqueness of solutions. Besides, we also obtain a time exponential decay in analytic regularity norm of the solutions for any time .