2 papers
math.NA2021
Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids
Léa Batteux, Thierry Gallouët, Raphaele Herbin +2
The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density…
math.AP2020
Asymptotic stability of viscous shocks in the modular Burgers equation
Uyen Le, Dmitry E. Pelinovsky, Pascal Poullet
Dynamics of viscous shocks is considered in the modular Burgers equation, where the time evolution becomes complicated due to singularities produced by the modular nonlinearity. We…