Yingmo Zhang

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math.AP2026

Well--posedness for the continuum Calogero--Moser equations by parabolic regularization

Yingmo Zhang

We prove that the focusing and defocusing continuum Calogero--Moser equations are globally well-posed in $H_{+}^{s} (R)$ for every integer $s \geq 3$ . In the focusing case, this…

math.AP2026

Scattering for the quintic generalized Benjamin-Bona-Mahony equation

Gong Chen, Yingmo Zhang

We consider the quintic generalized Benjamin-Bona-Mahony equation $u_{t} - u_{xx t} + \partial_{x} (u + u^{5}) = 0, (t, x) \in R_{+} \times R .$ Using the spa…