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Global well-posedness and large time behavior to the two-phase compressible-incompressible flow with free boundary
Authors:Niannian Yan  Bin Zhao
Institution:1. School of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, China;2. School of Mathematical Sciences, Capital Normal University, Beijing, China
Abstract:In present paper, the free boundary value problem to the two-phase compressible-incompressible flow with surface tension is investigated. The global well-posedness and the exponential decay to the steady state are obtained if the initial data are perturbated around the stationary state.
Keywords:free boundary  global well-posedness  large time behavior  two-phase flow
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