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math.AP2026
Norm inflation and low-regularity ill-posedness for the rod equation
Jinlu Li, Yanghai Yu
In this paper, we consider the Cauchy problem for the rod equation in the line. By constructing an explicit smooth initial data, we present a new method to prove that this problem…
math.AP2026
The Coriolis effect-induced and ill-posedness in the 3D rotating Euler equations
Jinlu Li, Yanghai Yu
In this paper, we establish the ill-posedness of the 3D rotating Euler equations in endpoint and -based spaces. More precisely, our aim is two fold: (1) we prove…