Sequential stability of weak solutions in compressible self‐gravitating fluids and stationary problem |
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Authors: | Weiwei Wang Fei Jiang Zhensheng Gao |
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Institution: | 1. School of Mathematical Sciences, Xiamen University, , Xiamen, 361005 China;2. Institute of Applied Physics and Computational Mathematics, , Beijing, 100088 China;3. School of Mathematical Sciences, Huaqiao University, , Quanzhou, 362021 China |
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Abstract: | In this paper, we prove the sequential stability of weak solutions over time, in relation to the Navier–Stokes system of compressible self‐gravitating fluids in a three‐dimensional domain. As a byproduct, we show that there exists at least one non‐negative solution to the stationary problem in any bounded domain with a given mass for the adiabatic constant γ > 3 ∕ 2. In particular, for the spherically symmetric case, these conclusions still hold for γ > 4 ∕ 3 or γ = 4 ∕ 3 with a small mass. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | compressible Navier– Stokes equations weak solution self‐gravitating fluids stationary problem |
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