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math.AP2018
Global Instability of the Multi-dimensional Plane Shocks for the isothermal flow
Ning-An Lai, Wei Xiang, Yi Zhou
In this paper, we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the compressible isothermal Euler equat…
math.AP2018
Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle
Feimin Huang, Jie Kuang, Dehua Wang +1
In this paper, we study the stability of supersonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle of varying cross-section…
math.AP2018
Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow
Gui-Qiang G. Chen, Mikhail Feldman, Wei Xiang
We are concerned with geometric properties of transonic shocks as free boundaries in two-dimensional self-similar coordinates for compressible fluid flows, which are not only impor…