Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow

Publication date: April 2020Source: Nonlinear Analysis: Real World Applications, Volume 52Author(s): Shouqiong Sheng, Zhiqiang ShaoAbstractIn this paper, we study the limiting behavior of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow as γ tends to one. We show that the limit solution forms the delta wave to the pressureless Euler system of one-dimensional compressible fluid flow in the distribution sense. Some numerical results exhibiting the phenomena of concentration are also presented.

Source: Nonlinear Analysis: Real World Applications - September 28, 2019 Category: Research Source Type: research