Decay rate of strong solutions to compressible Navier-Stokes-Poisson equations with external force

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dc.contributor.authorLi, Yeping
dc.contributor.authorZhang, Nengqiu
dc.date.accessioned2021-11-05T19:54:56Z
dc.date.available2021-11-05T19:54:56Z
dc.date.issued2019-05-07
dc.description.abstractIn this article, we consider the three dimensional compressible Navier-Stokes-Poisson equations with the effect of external potential force. First, the stationary solution is established by solving a nonlinear elliptic system. Next, we show global well-posedness of the strong solutions for the initial value problem to the three dimensional compressible Navier-Stokes-Poisson equations when the initial data are close to the stationary solution in H2(ℝ3)-norm of initial perturbation is finite, we prove the optimal Lp(ℝ3) (2 ≤ p ≤ 6) decay rates for such strong solution and L2(ℝ3) decay rate of its first-order spatial derivatives via a low frequency and high frequency decomposition.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, Y., & Zhang, N. (2019). Decay rate of strong solutions to compressible Navier-Stokes-Poisson equations with external force. <i>Electronic Journal of Differential Equations, 2019</i>(61), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14794
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNavier-Stokes-Poisson equation
dc.subjectStationary solution
dc.subjectStrong solution
dc.subjectEnergy estimate
dc.subjectOptimal decay rate
dc.titleDecay rate of strong solutions to compressible Navier-Stokes-Poisson equations with external force
dc.typeArticle

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