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 descending
Localized slow patterns in singularly perturbed 2-component reaction-diffusion equations Arjen Doelman May 10, 2021 - 4:00pm
Localised patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems Alan Champneys May 10, 2021 - 5:00pm
Recent Progress and Open Frontiers in Turing-Type Morphogenesis Andrew Krause May 10, 2021 - 6:00pm
The Phase-Field-Crystal Model at Large and Small Scales Rustum Choksi May 10, 2021 - 7:00pm
A ring of spikes for the Schnakenberg model Theodore Kolokolnikov May 10, 2021 - 10:00pm
Noise and Spike Dynamics for the Gierer-Meinhardt Equations David Iron May 10, 2021 - 11:00pm
Boundary Layer Solutions in the Gierer-Meinhardt System Daniel Gomez May 11, 2021 - 12:00am
Resource-mediated competition between two plant species with different rates of water intake Chunyi Gai May 11, 2021 - 12:30am
Modelling collective cell movement in biology and medicine Philip Maini May 11, 2021 - 3:30pm
Stable spikes for a reaction-diffusion system with two activators and one inhibitor Matthias Winter May 11, 2021 - 4:30pm
Extreme first passage times Sean Lawley May 11, 2021 - 5:30pm
A brief overview of methods and results for localized patterns and narrow escape problems Justin Tzou May 11, 2021 - 10:00pm
Growth Control in the Drosophila Wing Imaginal Disc. Jia Gou May 11, 2021 - 11:00pm
Spike patterns as a window into non-injective transient diffusive processes Yana Nec May 12, 2021 - 12:00am
Traveling pulses with oscillatory tails, figure-eight stack of isolas, and dynamics in heterogeneous media Yasumasa Nishiura May 12, 2021 - 3:30pm
The conserved Swift-Hohenberg equation and crystallization Edgar Knobloch May 12, 2021 - 4:30pm
Non-hexagonal lattices from a two species interacting system Xiaofeng Ren May 12, 2021 - 5:30pm
Mathematics of diffusive signaling and the role of receptor clustering in chemoreception. Alan Lindsay May 12, 2021 - 6:30pm
Patterns, waves and bufurcations in cell migration Leah Edelstein-Keshet , Andreas Buttenschoen May 13, 2021 - 3:30pm
Symmetries and bifurcations in non-local cell adhesion models Thomas Hillen May 13, 2021 - 4:30pm
Narrow Escape and Narrow Capture Problems in Three Dimensions: Solutions and the Optimization of Trap Configurations Alexei Cheviakov May 13, 2021 - 5:20pm