An exact solution for the semi-stationary compressible Stokes problem

An exact solution for the semi-stationary compressible Stokes problem

In this note, we present an exact solution for the semi-stationary compressible Stokes problem in R N . In the case of radial symmetry, an exact solution with velocity of the form c ( t ) r s is obtained for s = 1 - N γ + γ γ + 1 , where γ > 1 is the adiabatic index and r = | x | . Some interesti...

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Veröffentlicht in:Ricerche di matematica 2022, Vol.71 (1), p.265-269
1. Verfasser: Dong, Jianwei
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Compressibility
Exact solutions
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
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Zusammenfassung:In this note, we present an exact solution for the semi-stationary compressible Stokes problem in R N . In the case of radial symmetry, an exact solution with velocity of the form c ( t ) r s is obtained for s = 1 - N γ + γ γ + 1 , where γ > 1 is the adiabatic index and r = | x | . Some interesting properties of the exact solution are analyzed.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-021-00684-z