Shock-wave formation in Rosenau's extended hydrodynamics

被引:3
作者
Escudero, C [1 ]
机构
[1] Univ Nacl Educ Distancia, Dept Fis Fundamental, Madrid 28040, Spain
来源
PHYSICAL REVIEW E | 2005年 / 71卷 / 04期
关键词
D O I
10.1103/PhysRevE.71.047302
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study the extended hydrodynamics proposed by Rosenau [Phys. Rev. A 40, 7193 (1989)] in the context of a regularization of the Chapman-Enskog expansion. We are able to prove that shock waves appear in finite time in Rosenau's extended Burgers equation, and we discuss the physical implications of this fact and its connection with a possible extension of hydrodynamics to the short-wavelength domain.
引用
收藏
页数:3
相关论文
共 7 条
[1]  
Chapman S., 1970, The Mathematical Theory of Non-Uniform Gases, V3rd
[2]   RANDOM-WALK IN A QUASI-CONTINUUM [J].
DOERING, CR ;
HAGAN, PS ;
ROSENAU, P .
PHYSICAL REVIEW A, 1987, 36 (02) :985-988
[3]  
Evans L. C., 2002, PARTIAL DIFFERENTIAL
[4]   INITIATION OF SLIME MOLD AGGREGATION VIEWED AS AN INSTABILITY [J].
KELLER, EF ;
SEGEL, LA .
JOURNAL OF THEORETICAL BIOLOGY, 1970, 26 (03) :399-&
[5]   Continuum approach to discreteness [J].
Kevrekidis, P.G. ;
Kevrekidis, I.G. ;
Bishop, A.R. ;
Titi, E.S. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (04) :1-046613
[6]   EXTENDING HYDRODYNAMICS VIA THE REGULARIZATION OF THE CHAPMAN-ENSKOG EXPANSION [J].
ROSENAU, P .
PHYSICAL REVIEW A, 1989, 40 (12) :7193-7196
[7]  
Stein E. M., 1970, SINGULAR INTEGRALS D