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Asymptotic behavior of solutions of the compressible Navier‐Stokes equations in a cylinder under the slip boundary condition
Author(s) -
Aihaiti Abulizi,
Kagei Yoshiyuki
Publication year - 2019
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.5578
Subject(s) - mathematics , superposition principle , compressibility , mathematical analysis , nonlinear system , navier–stokes equations , boundary value problem , slip (aerodynamics) , non dimensionalization and scaling of the navier–stokes equations , cylinder , hagen–poiseuille flow from the navier–stokes equations , compressible flow , mechanics , geometry , physics , thermodynamics , quantum mechanics
The large time behavior of solutions to the compressible Navier‐Stokes equations around the motionless state is considered in a cylinder under the slip boundary condition. It is shown that if the initial data are sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one‐dimensional nonlinear diffusion waves and a diffusive rigid rotation.