Optimal time decay rates for the compressible Navier-Stokes system with and without Yukawa-type potential

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dc.contributor.authorChen, Qing
dc.contributor.authorWu, Guochun
dc.contributor.authorZhang, Yinghui
dc.contributor.authorZou, Lan
dc.date.accessioned2021-10-04T21:13:00Z
dc.date.available2021-10-04T21:13:00Z
dc.date.issued2020-09-29
dc.description.abstractWe consider the time decay rates of smooth solutions to the Cauchy problem for the compressible Navier-Stokes system with and without a Yukawa-type potential. We prove the existence and uniqueness of global solutions by the standard energy method under small initial data assumptions. Furthermore, if the initial data belong to L1(ℝ3), we establish the optimal time decay rates of the solution as well as its higher-order spatial derivatives. In particular, we obtain the optimal decay rates of the highest-order spatial derivatives of the velocity. Finally, we derive the lower bound time decay rates for the solution and its spacial derivatives.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChen, Q., Wu, G., Zhang, Y., & Zou, L. (2020). Optimal time decay rates for the compressible Navier-Stokes system with and without Yukawa-type potential. <i>Electronic Journal of Differential Equations, 2020</i>(102), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14609
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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCompressible flow
dc.subjectEnergy method
dc.subjectOptimal decay rates
dc.titleOptimal time decay rates for the compressible Navier-Stokes system with and without Yukawa-type potential
dc.typeArticle

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