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

doi:10.1016/S0252-9602(11)60387-1

Abstract

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

CLC Number:

35A22

K.T. Joseph and Manas R. Sahoo. SOME EXACT SOLUTIONS OF 3-DIMENSIONAL ZERO-PRESSURE GAS DYNAMICS SYSTEM[J].Acta mathematica scientia,Series B, 2011, 31(6): 2107-2121.

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