Shock profiles of Navier-Stokes equations for compressible medium

被引：0
作者：
Chang, Chueh-Hsin [1 ]
Liu, Tai-Ping [2 ,3 ]
机构：
[1] Natl Chung Cheng Univ, Dept Math, Chiayi, Taiwan
[2] Inst Math Acad Sinica, Taipei, Taiwan
[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA
来源：
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2023年 / 20卷 / 02期
关键词：
Shock waves; viscous profiles; Euler and Navier-Stokes equations; SYSTEMS;
D O I：
10.1142/S0219891623500157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct the viscous profile of the Navier-Stokes equations for compressible media under certain sufficient local hypotheses of the constitutive relation. Our result applies to shocks of arbitrary strength and generalizes the classical work of Gilbarg for the convex constitutive relation of Bethe-Weyl.
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页码：499 / 515
页数：17
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