THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE 3D COMPRESSIBLE ISOTHERMAL NAVIER-STOKES EQUATIONS

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摘要 This paper concerns the global existence of strong solutions to the 3 D compressible isothermal Navier-Stokes equations with a vacuum at infinity.Based on the special structure of the Zlotnik inequality,the time uniform upper bounds for density are established through some time-dependant a priori estimates under the assumption that the total mass is suitably small.

作者 Haibo YU 于海波(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2022年第1期233-246,共14页 数学物理学报（B辑英文版）

基金 partially supported by the National Natural Science Foundation of China(11701192)。

关键词 global strong solution compressible isothermal Navier-Stokes equations VACUUM

分类号 O175 [理学—基础数学]

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1张培欣,邓雪梅,赵俊宁.GLOBAL CLASSICAL SOLUTIONS TO THE 3-D ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL INITIAL ENERGY[J].Acta Mathematica Scientia,2012,32(6):2141-2160. 被引量：2

二级参考文献20

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THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE 3D COMPRESSIBLE ISOTHERMAL NAVIER-STOKES EQUATIONS

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