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

作者：Huang, Bingkang^*; Zhang, Lan

来源：Journal of Differential Equations, 2022, 318: 187-229.

DOI：10.1016/j.jde.2022.02.028

• Well-posedness
• Large initial data
• Micropolar equations
• Schrodinger equation
• Well-posedness

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.

• 单位
  武汉理工大学