Existence and Stability of Multidimensional Shock Fronts in the Vanishing Viscosity Limit

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Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum (2012, background): “The stability and regularity of themultidimensional shock solutionwas initiated in [28] and extensively studied by [12–14], and [31] (see the references in these articles for a more extensive bibliography).”
Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum (2009, background): “ transitions such as the motion of gas into the vacuum state considered herein. The stability and regularity of the multi-D shock solution was initiated in [29] and extensively studied by [13], [14], [15], and [32] (see the references in these articles for a more extensive bibliography). The shock w”