On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations

On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations
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DOI:
10.1007/pl00000976
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发表时间:
2001-11-01
影响因子:
1.3
通讯作者:
Petzeltova, Hana
Petzeltova, Hana
中科院分区:
数学3区
文献类型:
--
作者:
Feireisl, Eduard;Novotny, Antonin;Petzeltova, Hana

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我们证明了在三个空间尺寸中,在三个空间尺寸中,在绝热常数满足伽马> 3/2的情况下,在三个空间尺寸中的Navier-Stokes方程存在全球定义的弱解。
We prove the existence of globally defined weak solutions to the Navier-Stokes equations of compressible isentropic flows in three space dimensions on condition that the adiabatic constant satisfies gamma > 3/2.