University of Cambridge > Talks.cam > Geometric Analysis & Partial Differential Equations seminar > Infinite time blow-up for the 3D energy critical heat equation in bounded domains

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Infinite time blow-up for the 3D energy critical heat equation in bounded domains

Download to your calendar using vCal

If you have a question about this talk, please contact Zexing Li .

A positive solution to the Dirichlet problem for the energy-critical heat equation typically decays exponentially fast or blows up in finite time. In this talk, I will present the first examples of 3D global unbounded solutions without radial symmetry, precisely describing asymptotic behavior and stability. The dimension plays a crucial role, making the heart of the problem nonlocal and revealing a connection with the Brezis-Nirenberg problem. This is joint work with Manuel del Pino.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Audit Room, Kings College Cambridge Heart and Lung Research Institute (R.100 to 102) Lewin Stroke & Rehabilitation Unit, Seminar Room, R2, Addenbrooke's Hospital

Other talks

Looking for intelligence in minds, machines and mathematics Seminars in Cancer Group Work Wolfson Tool Factory Bacterial Physiology During Growth Arrest: Can It Be Targeted by Anti-Bacterial Therapeutics? Zooming in on the assembly of galaxies in the early Universe
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity