Self-similar solutions of the compressible Navier-Stokes equations

被引：2

作者：

Germain, Pierre ^{[1
]}

Iwabuchi, Tsukasa ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

[2] Toboku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2021年 / 240卷 / 03期

关键词：

D O I：

10.1007/s00205-021-01645-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct forward self-similar solutions (expanders) for the compressible Navier-Stokes equations. Some of these self-similar solutions are smooth, while others exhibit a singularity due to cavitation at the origin.

引用

页码：1645 / 1673

页数：29

共 50 条

[1] Backward self-similar solutions for compressible Navier-Stokes equations
Germain, Pierre
Iwabuchi, Tsukasa
Leger, Tristan
[J]. NONLINEARITY, 2021, 34 (02) : 868 - 893
[2] On Self-similar Solutions to Degenerate Compressible Navier-Stokes Equations
Germain, Pierre
Iwabuchi, Tsukasa
Leger, Tristan
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 381 (03) : 1001 - 1030
[3] Self-similar solutions to the isothermal compressible Navier-Stokes equations
Guo, Zhenhua
Jiang, Song
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2006, 71 (05) : 658 - 669
[4] Self-similar solutions of the compressible Navier–Stokes equations
Pierre Germain
Tsukasa Iwabuchi
[J]. Archive for Rational Mechanics and Analysis, 2021, 240 : 1645 - 1673
[5] Self-similar solutions of stationary Navier-Stokes equations
Shi, Zuoshunhua
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (03) : 1550 - 1580
[6] On Self-similar Solutions to Degenerate Compressible Navier–Stokes Equations
Pierre Germain
Tsukasa Iwabuchi
Tristan Léger
[J]. Communications in Mathematical Physics, 2021, 381 : 1001 - 1030
[7] Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in RN
Yuen, Manwai
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 4524 - 4528
[8] The self-similar solutions to full compressible Navier-Stokes equations without heat conductivity
Liu, Xin
Yuan, Yuan
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2019, 29 (12): : 2271 - 2320
[9] Fine Properties of Self-Similar Solutions of the Navier-Stokes Equations
Brandolese, Lorenzo
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 192 (03) : 375 - 401
[10] Self-similar solutions for Navier-Stokes equations in R(3)
Cannone, M
Planchon, F
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (1-2) : 179 - 193

← 1 2 3 4 5 →