Manas Ranjan Sahoo, Abhrojyoti Sen
Published 2018-02-21Version 1
We study the limiting behavior of the solutions of Euler equations of one-dimensional compressible fluid flow as the pressure like term vanishes. This system can be thought of as an approximation for the one dimensional model for large scale structure formation of universe. We show that the solutions of former equation converges to the solution of later in the sense of distribution and agrees with the vanishing viscosity limit when the initial data is of Riemann type. A different approximations for the one dimensional model for large scale structure formation of universe are also studied.
Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow
The pressureless limits of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow with a source term
On the Liouville theorem for the Navier-Stokes and the Euler equations in $\Bbb R^N$
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