Estimates of intermittency, spectra, and blow-up in developed turbulence

Asymptotic analysis and estimates of blo

Asymptotic analysis and estimates of blow-up time for the radial symmetric semilinear heat equation in the open-spectrum case

✍ N. I. Kavallaris; A. A. Lacey; C. V. Nikolopoulos; D. E. Tzanetis 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 303 KB 👁 1 views

## Abstract We estimate the blow‐up time for the reaction diffusion equation __u__~__t__~=Δ__u__+ λ__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here λ>λ^\*^, where λ^\*^ is the ‘extremal’ (critical) value for