Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids
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The authors prove two global existence results of strong solutions of the isen-tropic compressible Navier-Stokes-Poisson equations in one-dimensional bounded intervals. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition. In this paper the initial vacuum is allowed, and T is bounded.
KeywordsGlobal strong solutions Navier-Stokes-Poisson equations Existence and uniqueness
2000 MR Subject Classification35A05 35Q30
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