Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Local and global existence for the coupled Navier-Stokes-Poisson problem


Author: Donatella Donatelli
Journal: Quart. Appl. Math. 61 (2003), 345-361
MSC: Primary 35Q30; Secondary 35D05, 76D03, 76X05
DOI: https://doi.org/10.1090/qam/1976375
MathSciNet review: MR1976375
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Abstract: In this paper we investigate the Cauchy Problem for coupled Navier-Stokes-Poisson equation. The global existence of weak solutions in Sobolev framework is proved by using some compactification properties deduced from the Poisson equation.


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DOI: https://doi.org/10.1090/qam/1976375
Article copyright: © Copyright 2003 American Mathematical Society


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