Mathematics > Analysis of PDEs
[Submitted on 6 Mar 2025
]
Title: Stable blowup for supercritical wave maps into perturbed spheres
Title: 超临界波映射在扰动球面上的稳定爆破解
Abstract: We consider wave maps from $(1+d)$-dimensional Minkowski space, $d\geq3$, into rotationally symmetric manifolds which arise from small perturbations of the sphere $\mathbb S^d$. We prove the existence of co-rotational self-similar finite time blowup solutions with smooth blowup profiles. Furthermore, we show the nonlinear asymptotic stability of these solutions under suitably small co-rotational perturbations on the full space.
Submission history
From: Alexander Wittenstein [view email][v1] Thu, 6 Mar 2025 13:34:00 UTC (46 KB)
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