Existence of global smooth solutions for Euler equations with symmetry (II)
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 187-203 |
| Journal / Publication | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 41 |
| Issue number | 1 |
| Publication status | Published - Jul 2000 |
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Abstract
The compressible Euler equations, which govern the gas flow surrounding a solid ball with mass M and frictional damping in n dimensions, ρt+▽·(ρu) = 0, (ρu)t+▽·ρ(u⊗u)+▽P(ρ)= -Mρx/|x|n-2αρu, where ρ, u, P and M are the density, velocity, pressure and mass of the gas, respectively, n≥3 is the dimension of x, and α>0 is the frictional constant, are examined. The pressure is assumed to satisfy the γ law and 12ργ, K is a positive constant. The existence and non-existence of global smooth solutions are studied for the initial boundary problem of the Euler equations.
Citation Format(s)
Existence of global smooth solutions for Euler equations with symmetry (II). / Yang, Tong; Zhu, Changjiang; Zheng, Yongshu.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 41, No. 1, 07.2000, p. 187-203.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
