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math.AP2018
Two-Dimensional Vortex Sheets for the Nonisentropic Euler Equations: Nonlinear Stability
Alessandro Morando, Paola Trebeschi, Tao Wang
We show the short-time existence and nonlinear stability of vortex sheets for the nonisentropic compressible Euler equations in two spatial dimensions, based on the weakly linear s…
math.AP2018
On the evolution equation of compressible vortex sheets
Alessandro Morando, Paolo Secchi, Paola Trebeschi
We are concerned with supersonic vortex sheets for the Euler equations of compressible inviscid fluids in two space dimensions. For the problem with constant coefficients we derive…