Blowup dynamics for mass critical Half-wave equation in 2D

Vladimir Georgiev; Yuan Li

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arXiv · 2211.09494

Blowup dynamics for mass critical Half-wave equation in 2D

Vladimir Georgiev·Yuan Li

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Abstract

We consider the half-wave equation $iu_t=Du-|u|u$ in two dimensions. For the initial data $u_0(x)\in H^{s}(\mathbb{R}^2)$, $s\in\left(\frac{3}{4},1\right)$, we obtain the non-radial ground state mass blow-up solutions with the blow-up speed $\|D^{\frac{1}{2}}u(t)\|_{L^2}\sim\frac{1}{|t|}$ as $t\to 0^-$.

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Vladimir Georgiev, Yuan Li. 2022-11-17. Blowup dynamics for mass critical Half-wave equation in 2D. https://arxiv.org/abs/2211.09494

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