Journal
ADVANCES IN MATHEMATICS
Volume 408, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2022.108633
Keywords
Yang-Mills equations; Supercritical; Self-similar solution; Blowup; Stability
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This paper considers the Yang-Mills equations in (1 + d)-dimensional Minkowski spacetime. It is known that in the supercritical case, i.e., for d >= 5, these equations admit closed form equivariant self-similar blowup solutions. These solutions are conjectured to be the universal attractors for generic large equivariant data evolutions. In this paper, the authors partially prove this conjecture by showing stability of the blowup mechanism exhibited by these solutions for all odd d >= 5.
We consider the Yang-Mills equations in (1 + d)-dimensional Minkowski spacetime. It is known that in the supercritical case, i.e., for d >= 5, these equations admit closed form equivariant self-similar blowup solutions [2]. These solutions are furthermore conjectured to be the universal attractors for generic large equivariant data evolutions. In this paper we partially prove this conjecture. Namely, we show that for all odd d >= 5 the blowup mechanism exhibited by these solutions is stable.(C) 2022 The Author(s). Published by Elsevier Inc.
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