Concise network models of memory dynamics reveal explainable patterns in path data
Sahasrabuddhe, R
Lambiotte, R
Rosvall, M
Science Advances
volume 11
issue 41
(10 Oct 2025)
Mon, 24 Nov 2025
16:30 -
17:30
L4
On models for morphoelastic growth
Prof. Georg Dolzman
(The University of Regensburg)
Abstract
Mathematical models for elastic materials undergoing growth will be considered. The characteristic feature is a multiplicative decomposition of the deformation gradient into an elastic part a growth-related part. Approaches towards the existence of solutions will be discussed in
various settings, including models with and without codimension. This is joint work with Kira Bangert and Julian Blawid.
Mon, 09 Mar 2026
16:30 -
17:30
L4
TBA
Dr. Andre Guerra
(Department of Applied Mathematics and Theoretical Physics University of Cambridge)
Abstract
TBA
Mon, 23 Feb 2026
16:30 -
17:30
L4
Mon, 09 Feb 2026
16:30 -
17:30
L4
Scattering and Asymptotics for Critically Weakly Hyperbolic and Singular Systems
Dr. Arick Shao
(Queen Mary University of London)
Abstract
We study a very general class of first-order linear hyperbolic
systems that both become weakly hyperbolic and contain singular
lower-order coefficients at a single time t = 0. In "critical" weakly
hyperbolic settings, it is well-known that solutions lose a finite
amount of regularity at t = 0. Here, we both improve upon the analysis
in the weakly hyperbolic setting, and we extend this analysis to systems
containing critically singular coefficients, which may also exhibit
modified asymptotics and regularity loss at t = 0.
In particular, we give precise quantifications for (1) the asymptotics
of solutions as t approaches 0, (2) the scattering problem of solving
the system with asymptotic data at t = 0, and (3) the loss of regularity
due to the degeneracies at t = 0. Finally, we discuss a wide range of
applications for these results, including weakly hyperbolic wave
equations (and equations of higher order), as well as equations arising
from relativity and cosmology (e.g. at big bang singularities).
This is joint work with Bolys Sabitbek (Ghent).
Mon, 08 Dec 2025
16:30 -
17:30
L5
Improved regularity for nodal sets of Abelian Yang-Mills-Higgs equations.
Dr. Shengwen Wang
(Queen Mary University of London)
Abstract
We consider Yang-Mills-Higgs equations with U(1) gauge group. There is a deep relation between the adiabatic limit of a sequence of this physical PDEs and geometric PDE of minimal submanifolds. It is known that the energy measures are converging to a codimension 2 stationary varifold and the energy functional is converging to the codimension 2 mass. When the ambient dimension is \leq 4 or the sequence is minimizing, we can improve the weak convergence above and obtain strong regularity for the nodal sets that they are converging to the limit minimal submanifold with uniform $C^{2,\alpha}$ bounds. This is joint work with Huy Nguyen.
Thu, 20 Nov 2025
12:00 -
13:00
C5
Existence and weak-strong uniqueness of measure solutions to Euler-alignment/Aw-Rascle-Zhang model of collective behaviour
Ewelina Zatorska
(University of Warwick)
Abstract
I will discuss the multi-dimensional Euler–alignment system with a matrix-valued communication kernel, which is motivated by models of anticipation dynamics in collective behaviour. A key feature of this system is its formal equivalence to a nonlocal variant of the Aw–Rascle–Zhang (ARZ) traffic model, in which the desired velocity is modified by a nonlocal gradient interaction. The global-in-time existence of measure solutions to both formulations, can be obtained via a single degenerate pressureless Navier–Stokes approximation. I will also discuss a weak–strong uniqueness principle adapted to the pressureless setting and to nonlocal alignment forces. As a consequence of these results we can rigorously justify the formal correspondence between the nonlocal ARZ and Euler–alignment models: they arise from the same inviscid limit, and the weak–strong uniqueness property ensures that, whenever a classical solution exists, both formulations coincide with it.