May 30, 2024Open Access

On blow-up for the supercritical defocusing nonlinear wave equation

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Abstract

In this paper, we consider the defocusing nonlinear wave equation -ₜ²u+ u=|u|^p-1u in R Rᵈ. Building on our companion work (Self-similar imploding solutions of the relativistic Euler equations), we prove that for d=4, p 29 and d 5, p 17, there exists a smooth complex-valued solution that blows up in finite time.

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Shao et al. (Thu,) studied this question.

synapsesocial.com/papers/68e67bb1b6db643587605f45 https://doi.org/https://doi.org/10.48550/arxiv.2405.19674

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