The stability of strong viscous contact discontinuity to a free boundary problem for compressible Navier-Stokes equations · arXivDesk
1407.5502Jul 21, 2014This paper was finished after our work that is "The stability of strong viscous contact discontinuity to an inflow problem for compressible navier-stokes equations"
The stability of strong viscous contact discontinuity to a free boundary problem for compressible Navier-Stokes equations
This paper is concerned with nonlinear stability of viscous contact discontinuity to a free boundary problem for the one-dimensional full compressible Navier-Stokes equations in half space [0,∞). For the case when the local stability of the contact discontinuities was first studied by [1],later generalized by [2], local stability of weak viscous contact discontinuity is well-established by [4-8], but for the global stability of the impermeable gas with big oscillation ends (∣θ+−θ−∣>1)
Nearby in the stack
, fewer results have been obtained excluding zero dissipation [9] or
γ→1
gas see [10]. Our main purpose is to deduce the corresponding nonlinear stability result with the two different ends to temperature by exploiting the elementary energy method. As a first step towards this goal, we will show in this paper that with a certain class of big perturbation which can allow