抛物粘合方法与奇性形成——献给陈化教授 70 寿辰

摘要/Abstract

摘要：

近年来, 非线性偏微分方程的奇性形成问题备受关注. 此综述文章将介绍抛物粘合方法及其在一些来源于几何、物理、生物数学中的抛物型方程奇性形成研究中的广泛应用. 该文将回顾两个模型问题以具体阐明抛物粘合方法的基本思想.

Abstract:

Singularity formation for nonlinear PDEs has attracted much attention in recent years. In this survey article, some recent progress on the parabolic gluing method and its wide applications in investigating the singularity formation for parabolic flows, originating from geometry, mathematical physics and mathematical biology, will be introduced. Two model problems will be revisited to illustrate the key ideas of the gluing method in detail.

Key words: parabolic gluing method, blow-up analysis, energy-critical parabolic problems

中图分类号:

O175.23

魏军城, 周一夫. 抛物粘合方法与奇性形成——献给陈化教授 70 寿辰[J]. 数学物理学报, 2026, 46(2): 646-668.

Juncheng Wei, Yifu Zhou. Parabolic Gluing Method and Singularity Formation[J]. Acta mathematica scientia,Series A, 2026, 46(2): 646-668.

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