A group analysis of the 2D Navier-Stokes-Fourier equations

被引：9
|
作者：
Grassi, V
Leo, RA
Soliani, G
Tempesta, P
机构：
[1] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy
[2] Ist Nazl Fis Nucl, Sez Lecce, I-73100 Lecce, Italy
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2001年 / 293卷 / 3-4期
关键词：
Lie groups; fluid dynamics;
D O I：
10.1016/S0378-4371(00)00628-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a (2 + 1)-dimensional model of an incompressible thermoconducting fluid named Navier-Stokes-Fourier system. Wt: apply a group-theoretical analysis. In correspondence of the generators of the symmetry group allowed by this model, exact solutions are found. Some of them show possible interesting physical interpretations. In our first exploration, this feature is illustrated by dealing with simple special cases. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：421 / 434
页数：14
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