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math.AP2023★ 1 cited
On the stability of multi-dimensional rarefaction waves II: existence of solutions and applications to Riemann problem
Tian-Wen Luo, Pin Yu
This is the second paper in a series studying the nonlinear stability of rarefaction waves in multi-dimensional gas dynamics. We construct initial data near singularities in the ra…
math.AP2023★ 1 cited
On the stability of multi-dimensional rarefaction waves I: the energy estimates
Tian-Wen Luo, Pin Yu
We study the resolution of discontinuous singularities in gas dynamics via rarefaction waves. The mechanism is well-understood in the one dimensional case. We will prove the non-no…