Workshop

UK-Japan Workshop on Nonlinear PDEs: Singularities and asymptotic patterns in Fluids, Chemotaxis and Geometric PDEs

30 Jun 2025 - 04 Jul 2025

ICMS, Bayes Centre, Edinburgh

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Scientific Organisers

Manuel Del Pino, University of Bath

Yoshitsugu Kabeya, Osaka Metropolitan University

Toru Kan, Osaka Metropolitan University

Vitaly Moroz, Swansea University

Hirokazu Ninomiya , Meiji University

About Workshop

An insightful event on UK-Japan Workshop on Nonlinear PDEs: Singularities and asymptotic patterns in Fluids, Chemotaxis and Geometric PDEs, where experts explored the latest advancements in computational modeling for disease progression, treatment strategies, and healthcare solutions. This event brought together researchers, professionals, and students to discuss innovative approaches in biomedical modeling, predictive analytics, and precision medicine.

The week-long UK-Japan Workshop on Nonlinear PDEs aimed at fostering bonds and research collaborations between mathematicians in the UK and Japan who are working in the area of Nonlinear Partial Differential Equations (PDEs). The workshop would focus on singularities and asymptotic pattern formation within three distinct but closely interconnected themes: Fluids, Chemotaxis, and Geometric PDEs. These areas had seen a surge in activity over the past decade, and the UK and Japan are leading the recent advancements.

ICMS gratefully acknowledged the generous donation from Tim Hennock that made this workshop possible.

Programme

MONDAY 30 JUNE

09.00-09.45

Registration

09.45-10.00

Housekeeping by ICMS

10.00-10.15

Introduction by organisers

10.15-11.00

Eiji Yanagida, University of Tokyo (Japan)

Traveling singularities in the fast-diffusion equation

11.00-11.30

Coffee Break

11.30-12.15

Juan Davila, University of Bath (UK)

Global in Time Vortex Configurations for the 2D Euler Equations

12.15-13.00

Hirokazu Ninomiya, Meiji University (Japan)

Dynamics of Area-Preserving Curvature Flow

13.00-14.00

Lunch

14.00-14.45

Chiun-Chuan Chen, National Taiwan University (Taiwan)

Non-monotone travelling wave solutions of the diffusive Lotka–Volterra system with three competing species

14.45-15.30

Elaine Crooks, Swansea University (UK)

Self-similar fast-reaction limits of reaction-diffusion systems with nonlinear diffusion

15.30-16.00

Coffee Break

16.00-17.00

ECRs session (15 min talks including questions)

Short talk 1: Maxwell Stolarski, University of Warwick (UK)

Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers

Short talk 2: Yoshitaro Tanaka, Future University Hakodate (Japan)

Keller-Segel type approximation for nonlocal Fokker-Planck equations in one-dimensional bounded domain

17.00-17.30

Japan Society for the Promotion of Science (JSPS) information session: Professor Masahiko Hara, JSPS London (Director)

Overview of JSPS International Activities

17.00-17.30

Asuka Nishida, JSPS London (International Programme Associate)

Overview of JSPS Fellowship Programme

17.30-18.30

Welcome reception hosted at ICMS

TUESDAY 1 JULY

09.30-10.15

Peter Topping, University of Warwick (UK)

Delayed parabolic regularity for curve shortening flow

10.15-11.00

Yoshihiro Tonegawa, Institute of Science Tokyo (Japan)

The epsilon-regularity theorem for Brakke flows near triple junctions

11.00-11.30

Coffee Break

11.30-12.15

Marco Guaraco, Imperial College London (UK)

On the Plateau problem and the Allen-Cahn equation

12.15-13.00

Federica Dragoni, Cardiff University (UK)

Semiconcavity of the square distance in Carnot groups

13.00-14.00

Lunch

14.00-14.45

Miles Wheeler, University of Bath (UK)

Self-similar implosion of hollow vortices

14.45-15.30

Futoshi Takahashi, Osaka Metropolitan University (Japan)

The Critical Hardy inequality for mean zero functions in two dimensions

15.30-16.00

Coffee Break

16.00-16.45

Yasuhito Miyamoto, University of Tokyo (Japan)

Structure of positive radial solutions for supercritical elliptic equations

16.45-17.30

Dmitri Finkelshtein, Swansea University (UK)

Extinction threshold in the spatial stochastic logistic model

WEDNESDAY 2 JULY

09.30-10.15

Yuan Lou, Shanghai Jiao Tong University (China)

On principal eigenvalues for second order elliptic operators

10.15-11.00

Ayuki Sekisaka, Meiji University (Japan)

Topological approach to the stability problem for multi-dimensional traveling waves

11.00-11.30

Coffee Break

11.30-12.15

Asuka Takatsu, University of Tokyo (Japan)

Optimal transport metrics on metric fiber bundles via disintegration

12.15-13.00

Toru Kan, Osaka Metropolitan University (Japan)

Boundedness of global solutions of superlinear heat equations

13.00-14.00

Lunch

14.00

Free afternoon

THURSDAY 3 JULY

09.30-10.15

Yoshie Sugiyama, Osaka University (Japan)

Unique Continuation for the Drift-Diffusion Equation via Carleman Estimates and Its Consequence on Infinite Speed of Propagation

10.15-11.00

Gianmarco Sperone, Pontifical Catholic University of Chile

The steady Navier-Stokes equations in a system of unbounded channels with sources and sink

11.00-11.30

Coffee Break

11.30-12.15

Sachiko Ishida, Chiba University (Japan)

Global boundedness for a tumor invasion model under small initial data in a scaling invariant space

12.15-13.00

Lucia Scardia, Heriot-Watt University (UK)

Shape Optimisation for nonlocal anisotropic energies

13.00-14.00

Lunch

14.00-14.45

Jaeyoung Byeon, KAIST (Republic of Korea)

Nonlinear Schroedinger systems with all attractive forces

14.45-15.30

Masato Hashizume, Osaka University (Japan)

Relationship between maximizers of maximization problems and ground state solutions of semilinear elliptic equations

15.30-16.00

Coffee Break

16.00-17.15

ECRs and PhD students session (15 min talks including questions)

Short talk 1: Averkios Averkiou, University of Bath (UK)

Compactly Supported Helical Filaments for the Incompressible Euler Equations

Short talk 2: Shuang Liu, Beijing Institute of Technology (China)

Qualitative analysis of the principal eigenvalues for some time-periodic parabolic operators

Short talk 3: Masamitsu Suzuki, Meiji University (Japan)

Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms

Short talk 4: Sho Katayama, University of Tokyo (Japan)

Supercritical Lane-Emden equation on a cone with an inhomogeneous Drich-let boundary condition

Short talk 5: Kosuke Shibata, Osaka University (Japan)

Existence of Axis-Symmetric Blow-up Solution with Multiple Peak Aggrega-tions for the 2D Keller-Segel Systems Coupled Bipolar Source and Sink Flow

18.00

Workshop dinner hosted at Canny Man’s

237 Morningside Rd, Edinburgh EH10 4QU

FRIDAY 4 JULY

09.30-10.15

Norihisa Ikoma, Keio University (Japan)

Existence of L^2-normalized solutions to equations with nonlocal and nonline-ar potentials

10.15-11.00

Rowan Juneman, University of Bath (UK)

Vortex dynamics for the Gross-Pitaevskii equation

11.00-11.30

Coffee Break

11.30-12.15

David Bourne, Heriot-Watt University (UK)

Optimal transport theory and the semi-geostrophic equations

12.15-13.00

Yoshitsugu Kabeya, Osaka Metropolitan University (Japan)

Radial solutions to an elliptic system of Choquard-type and related topics

13.00-16.00

Lunch and free discussions

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