Singularity Formation in Nonlinear Waves: Existence, Stability and Asymptotics

Organizers of this minisymposium are

A fundamental question in the study of nonlinear evolution equations is that of potential formation of singularities in finite time. Understanding the mechanisms leading to blowup, as well as the structure and stability of singular solutions, is therefore of central importance from both mathematical and physical perspectives. Over the past decade, substantial progress has been made in this direction, particularly for equations modeling wave phenomena, including nonlinear wave equations and related geometric flows, as well as equations arising in fluid dynamics and general relativity.
The goal of this minisymposium is to bring together experts as well as young researchers working on different aspects of singularity formation in nonlinear hyperbolic equations and related models. The talks will highlight recent advances in the construction of singular solutions, the analysis of stability and instability mechanisms, and spectral, dynamical, as well as numerical approaches to blowup.