Nonlinearly stability of solutions on the outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity
In this paper, the one-dimensional compressible Navier-Stokes system with outer pressure boundary conditions is investigated. Under some suitable assumptions, we prove that the specific volume and the temperature are bounded from below and above independently of time, and then give the local and glo...
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| description | In this paper, the one-dimensional compressible Navier-Stokes system with outer pressure boundary conditions is investigated. Under some suitable assumptions, we prove that the specific volume and the temperature are bounded from below and above independently of time, and then give the local and global existence of strong solutions. Furthermore, we also obtain the convergence of the global strong solution to a stationary state and the nonlinearly stability of its convergence. It is worth noticing that all the assumptions imposed on the initial data are the same as Takeyuki Nagasawa [Japan.J.Appl.Math.(1988)]. Therefore, our work can be regarded as an improvement of the results of Takeyuki. |
| doi_str_mv | 10.48550/arxiv.2107.04744 |
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| subjects | Boundary conditions Compressibility Convergence Fluid dynamics Fluid flow Mathematics - Analysis of PDEs Navier-Stokes equations Specific volume Stability Temperature dependence Thermal conductivity |
| title | Nonlinearly stability of solutions on the outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity |
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