PIMS Workshop on New Trends in Localized Patterns in PDEs

PIMS workshop on New Trends in Localized Patterns in PDEs: Mathematical Theory and Applications to Physics, Biology and the Social Sciences- a Conference in Honour of the 60th Birthday of Michael J. Ward.

Localized spatial-temporal patterns commonly occur for various classes of linear and nonlinear diffusive processes. In recent years, we have witnessed an explosion of many new and exciting developments in the theory and applications of localized solutions in PDEs. Many new frontiers have opened while new connections between old fields have been discovered.

This workshop will highlight Prof.Ward's influential contributions to the mathematics and applications of localized solutions to PDEs. It brings together his students, colleagues and collaborators in a celebration of Prof.Ward's 60th birthday. Over his long career, Prof. Ward has made numerous invaluable contributions to many areas of applied mathematics, including fluid dynamics, metastability, reaction-diffusion equations, cell biology and pattern formation.

Lectures will be posted below in the next few days.

Title Speaker Datesort ascending
Narrow Escape and Narrow Capture Problems in Three Dimensions: Solutions and the Optimization of Trap Configurations Alexei Cheviakov 2021
Symmetries and bifurcations in non-local cell adhesion models Thomas Hillen 2021
Patterns, waves and bufurcations in cell migration Leah Edelstein-Keshet , Andreas Buttenschoen 2021
Mathematics of diffusive signaling and the role of receptor clustering in chemoreception. Alan Lindsay 2021
Non-hexagonal lattices from a two species interacting system Xiaofeng Ren 2021
The conserved Swift-Hohenberg equation and crystallization Edgar Knobloch 2021
Traveling pulses with oscillatory tails, figure-eight stack of isolas, and dynamics in heterogeneous media Yasumasa Nishiura 2021
Spike patterns as a window into non-injective transient diffusive processes Yana Nec 2021
Growth Control in the Drosophila Wing Imaginal Disc. Jia Gou 2021
A brief overview of methods and results for localized patterns and narrow escape problems Justin Tzou 2021
Extreme first passage times Sean Lawley 2021
Stable spikes for a reaction-diffusion system with two activators and one inhibitor Matthias Winter 2021
Modelling collective cell movement in biology and medicine Philip Maini 2021
Resource-mediated competition between two plant species with different rates of water intake Chunyi Gai 2021
Boundary Layer Solutions in the Gierer-Meinhardt System Daniel Gomez 2021
Noise and Spike Dynamics for the Gierer-Meinhardt Equations David Iron 2021
A ring of spikes for the Schnakenberg model Theodore Kolokolnikov 2021
The Phase-Field-Crystal Model at Large and Small Scales Rustum Choksi 2021
Recent Progress and Open Frontiers in Turing-Type Morphogenesis Andrew Krause 2021
Localised patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems Alan Champneys 2021
Localized slow patterns in singularly perturbed 2-component reaction-diffusion equations Arjen Doelman 2021