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Global well‐posedness and large time behavior to the two‐phase compressible‐incompressible flow with free boundary
Author(s) -
Yan Niannian,
Zhao Bin
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6499
Subject(s) - compressibility , mathematics , mathematical analysis , flow (mathematics) , compressible flow , boundary value problem , incompressible flow , phase (matter) , boundary (topology) , free surface , surface tension , mechanics , geometry , physics , thermodynamics , quantum mechanics
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.