ERC Starting Grant · 2023
Interacting Solitary Waves in Nonlinear Wave Equations
Various models encountered in mathematical physics possess special solutions called solitary waves, which preserve their shape as time passes. In the case of dispersive models, small perturbations of the field tend to spread, so that their amplitude decays. The Soliton Resolution Conjecture predicts that, generically, a solution of a nonlinear dispersive partial differential equation decomposes into a superposition of solitary waves and a perturbation of small amplitude called radiation. Our study will focus on topological solitons appearing in models motivated by Quantum Field Theory: kinks in the phi4 theory and rational maps in the O(3) sigma model. We expect that the developed…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.