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math.AP2022
ill-posedness for 2D Elastic Wave system
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we prove that for the 2D elastic wave equations, a physical system with multiple wave-speeds, its Cauchy problem fails to be locally well-posed in $H^{\frac{11}{4}}(…
math.AP2022
The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in
Xinliang An, Haoyang Chen, Silu Yin
In a fractional Sobolev space with , we prove the low-regularity ill-posedness for the 2D compressible Euler equations and the 2D ideal compressib…