数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (6): 2107-2121.doi: 10.1016/S0252-9602(11)60387-1

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SOME EXACT SOLUTIONS OF 3-DIMENSIONAL ZERO-PRESSURE GAS DYNAMICS SYSTEM

K.T. Joseph and Manas R. Sahoo   

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
  • 收稿日期:2011-03-13 出版日期:2011-11-20 发布日期:2011-11-20

SOME EXACT SOLUTIONS OF 3-DIMENSIONAL ZERO-PRESSURE GAS DYNAMICS SYSTEM

K.T. Joseph and Manas R. Sahoo   

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
  • Received:2011-03-13 Online:2011-11-20 Published:2011-11-20

摘要:

The 3-dimensional zero-pressure gas dynamics system appears in the modeling for the large scale structure formation in the universe. The aim of this paper is to construct spherically symmetric solutions to the system. The radial component of the velocity and density satisfy a simpler one dimensional problem. First we construct explicit solutions of this one dimensional case with initial and boundary conditions. Then we get special radial solutions with different behaviours at the origin.

关键词: zero-pressure gas dynamics, spherically symmetric solutions

Abstract:

The 3-dimensional zero-pressure gas dynamics system appears in the modeling for the large scale structure formation in the universe. The aim of this paper is to construct spherically symmetric solutions to the system. The radial component of the velocity and density satisfy a simpler one dimensional problem. First we construct explicit solutions of this one dimensional case with initial and boundary conditions. Then we get special radial solutions with different behaviours at the origin.

Key words: zero-pressure gas dynamics, spherically symmetric solutions

中图分类号: 

  • 35A22