55 citations · 196 across the 26 of their papers we have counts for
4 papers · 1 filter
The Lie Detector
Arthur Young, Andrew Lawrie
How many free variables do we really need to build a credible model of a physical system? Currently there is no systematic approach; we appeal to some physical principles, tune fre…
Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line
Jacek Jendrej, Michał Kowalczyk, Andrew Lawrie
This paper concerns classical nonlinear scalar field models on the real line. If the potential is a symmetric double-well, such a model admits static solutions called kinks and ant…
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane Under the Schrödinger Maps Evolution
Andrew Lawrie, Jonas Lührmann, Sung-Jin Oh +1
We consider the Cauchy problem for the Schrödinger maps evolution when the domain is the hyperbolic plane. An interesting feature of this problem compared to the more widely studie…
Dynamics of Bubbling Wave Maps with Prescribed Radiation
Jacek Jendrej, Andrew Lawrie, Casey Rodriguez
We study energy critical one-equivariant wave maps taking values in the two-sphere. It is known that any finite energy wave map that develops a singularity does so by concentrating…