Global well-posedness of classical solution to the interactions between short-long waves with large initial data

摘要

We present the global existence and uniqueness of the classical solution to a system describing the in-teractions of short waves and long waves. This coupled system is formed by the compressible micropolar equations in Eulerian coordinates and the Schrodinger equation in Lagrangian coordinates. This paper es-tablishes a sufficient frame condition to guarantee the well-posedness of the coupled system with large initial data in the two-dimensional torus.

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