Uniqueness of blowup at singular points for superconductivity problem
Lili Du, Xu Tang, Cong Wang
TL;DR
This paper proves the uniqueness of blowup at singular points in the superconductivity problem using monotonicity formulas, building on recent related work.
Contribution
It introduces a proof of blowup uniqueness at singular points for superconductivity problems based on Weiss-type and Monneau-type formulas, inspired by recent research.
Findings
Established blowup uniqueness at maximum points of the coincidence set
Utilized Weiss-type and Monneau-type monotonicity formulas
Extended recent methods to superconductivity singularity analysis
Abstract
In this paper, we prove that the uniqueness of blowup at the maximum point of coincidence set of the superconductivity problem, mainly based on the Weiss-type and Monneau-type monotonicity formulas, and the proof of the main results in this paper is inspired the recent paper \cite{CFL22} by Chen-Feng-Li.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Numerical Methods in Computational Mathematics · Advanced Mathematical Modeling in Engineering