Program and slides

Program for 2024

Monday, June 3, 2024

Breakfast
Opening presentation (Fujihara Foundation and Organizers)
Photo session and coffee break
Charles M. Elliott (University of Warwick)
PDEs on evolving domains and evolving finite elements
Marcel J. Rost (Leiden University)
Arrhenius follows Frumkin to describe atomic diffusion involved peaks in cyclic voltammograms: the reversible place-exchange on Pt(111)
Coffee break
Michael Hinze (University of Koblenz)
Shape optimization with Lipschitz methods
Masahiro Yamamoto (The University of Tokyo)
Uniqueness in inverse problem of determining shapes of sub-boundaries by nonstationary heat equations without initial conditions
Move for lunch after hand-washing
Lunch
Coffee and cookies
Jeremy Louis Marzuola (University of North Carolina at Chapel Hill)
On 4th order nonlinear thin-film like PDEs describing crystal surface evolution
Takayuki Nakamuro (The University of Tokyo)
Quantitative analysis around crystallization phenomena via molecular electron microscopy
Coffee break
Tim Laux (University of Regensburg)
Stability of volume-preserving mean curvature flow & optimal convergence rates for the nonlocal Allen–Cahn equation
Keisuke Takasao (Kyoto University)
On obstacle problem for Brakke's mean curvature flow with Neumann boundary condition
Move for dinner after hand-washing
Dinner

Tuesday, June 4, 2024

Breakfast
Harald Garcke (University of Regensburg)
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity
Bjorn Stinner (University of Warwick)
Convergent finite element schemes with mesh smoothing for geometrically evolving curves and networks
Koichi Sudoh (Osaka University)
Geometric model of nanoparticle-assisted nanopore formation on solid substrates
Coffee break
Glen Wheeler (University of Wollongong)
A simple and effective PDE model for bushfires
Michał Łasica (Polish Academy of Sciences)
Existence for a class of fourth-order quasilinear parabolic equations
Hiroyoshi Mitake (The University of Tokyo)
On asymptotic growth rate of solutions to level-set forced mean curvature flows with evolving spirals
Move for lunch after hand-washing
Lunch
Coffee and cookies
James A. Sethian (University of California, Berkeley)
Fluid interfaces and transport in industrial processes
Hiroshi Watanabe (Oita University)
A constrained gradient system associated with 3D grain boundary motion
Coffee break
Olivier Pierre-Louis (CNRS, Claude Bernard Lyon 1 University, Institute of Light and Matter)
Macroscopic avalanches in motion by curvature with many obstacles
Koya Sakakibara (Kanazawa University)
Fractional time differential equation as a singular limit of the Kobayashi‒Warren‒Carter system
Move for dinner after hand-washing
Dinner

Wednesday, June 5, 2024

Breakfast
Matthias Hieber (Technical University of Darmstadt)
Free boundary problems for viscous incompressible fluids via Da Prato–Grisvard theory
Arnold Reusken (RWTH Aachen University)
On a new narrow band level set method
Tatsu-Hiko Miura (Hirosaki University)
Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation
Coffee break
John King (University of Nottingham)
Biological moving boundary problems
Takeshi Ohtsuka (Gunma University)
A minimizing movement approach without using distance function for evolving spirals by crystalline curvature
Shinya Okabe (Tohoku University)
Ideal curve flow with constraints on length
Move for lunch after hand-washing
Lunch
Free afternoon
Move for dinner after hand-washing
Dinner
Session for short communications

Thursday, June 6, 2024

Breakfast
Frédéric Flin (National Centre for Meteorological Research)
A snow isothermal metamorphism model applicable on microtomographic images
Philip Herbert (University of Sussex)
A combined shape and topology optimisation using phase fields and the W(1,∞) topology
Masato Kimura (Kanazawa University)
Well-posedness of Hele–Shaw type moving boundary problem associated with gradient method for shape optimization
Coffee break
Chandrasekhar Venkataraman (University of Sussex)
Moving boundary problems on moving cell boundaries
Piotr Rybka (University of Warsaw)
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
Masashi Mizuno (Nihon University)
Extension of the entropy dissipation method to inhomogeneous non-linear Fokker–planck equations
Move for lunch after hand-washing
Lunch
Coffee and cookies
Balázs Kovács (Paderborn University)
Numerical surgery for mean curvature flow of surfaces
Tatsuya Miura (Kyoto University)
Migrating elastic flows
Coffee break
Miyuki Koiso (Kyushu University)
A free boundary problem for anisotropic surface energy
Chun Liu (Illinois Institute of Technology)
Active complex fluids
Move for dinner after hand-washing
Dinner

Topics from participants(As of May 15)

*alphabetical order

Name Topic (s)
Charles Elliott PDEs in evolving domains
Tokuhiro Eto I would like to give a talk entitled "Numerical computation for geometric evolution equations using deep learning".
Frederic Flin A snow isothermal metamorphism model applicable on microtomographic images
Harald Garcke Viscoelastic phase-field model for tumour growth
Philip Herbert A combined diffuse interface and sharp interface method for shape optimisation
Matthias Hieber Global solvability of free boundary value problem for Navier-Stokes via L^1 maximal regularity or
poroelastic fluid interaction subject to Beaver-Joseph interface conditions or
coupled atmosphere-ocean models with dynamic wind driven interface conditions
Matthias Hieber "The title of my talk is:
Free boundary problems for viscous, incompressible fluids via Da Prato-Grisvard theory "
Masato Kimura Well-posedness of Hele-Shaw type moving boundary problem associated with gradient method for shape optimization
John King Biological moving boundary problems
Miyuki Koiso A free boundary problem for anisotropic surface energy
Balázs Kovács "- Numerical analysis of an evolving bulk--surface model of tumour growth
- Numerical surgery for mean curvature flow of surfaces"
Shodai Kubota Numerical algorithms for optimal control problems governed by Kobayashi--Warren--Carter type systems
Michal Lasica "Well-posedness for weighted 4th-order problems
Singular limits of gradient flows along changing metrics
Jump discontinuities of minimizers in variational denoising"
Michal Lasica Talk title: "Existence for a class of fourth-order quasilinear parabolic equations"
Chun Liu Thermodynamics for reactive fluids
Jeremy L. Marzuola Overview of progress on the dynamics of coarse grained adatom models in epitaxy
Hiroyoshi Mitake On asymptotic growth rate of solutions to level-set forced mean curvature flows with evolving spirals
Tatsu-Hiko Miura "Interested in PDEs in thin domains and on surfaces
Title of my talk: Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation"
Tatsuya Miura Title: Migrating elastic flows
Hitoshi Miura Behavior of impurities adsorbed on growing crystal surface and its effect on the crystal growth
Masashi Mizuno "<Title>Extension of the entropy dissipation method to inhomogeneous non-linear Fokker-Planck equations.
<Abstract>
The Fokker-Planck equation is a differential equation for density functions of state variables in mathematical modeling. The analysis of large-time asymptotics for solutions of the Fokker-Planck equation is related to the asymptotics to the system's equilibrium state. The entropy dissipation method is one way to study the long-time behavior of the solution to the Fokker-Planck equation.
In this talk, I will explain how to derive non-linear Fokker-Planck equations based on the dissipation of inhomogeneous free energy. Next, We will extend the entropy dissipation method to the non-linear Fokker-Planck equation. We will especially consider the large-time asymptotic behavior for the solution of the non-linear Fokker-Planck equation."
Takayuki Nakamuro Quantitative Analysis of Crystallization Phenomena via Molecular Electron Microscopy
Takeshi Ohtsuka "Research interests: Geometric evolution equation, Crystalline motion, Level set method, Allen-Cahn type equation, Viscosity solution, Numerical analysis, Evolution of spirals
Tentative title of my talk: A minimizing movement approach for spirals evolving by crystalline curvature "
Olivier Pierre-Louis "Current research topics:
(1) Interface dynamics and fluctuations, with applications to growth and disolution of crystals and to soft matter physics;
(2) Control (Optimal control, Dynamic Programming,Reinforcement Learning). "
Olivier Pierre-Louis "Title of my talk: "Macroscopic avalanches
in motion by curvature with many obstacles."
Arnold Reusken Analysis and numerical methods for surface Navier-Stokes equations
Arnold Reusken Navier-Stokes equations on surfaces: Analysis and numerical simulations
Arnold Reusken On a new narrow band level set method
Marcel Rost "title of my talk:
Arrhenius follows Frumkin to describe Atomic Diffusion involved Peaks in Cyclic Voltammograms: the Reversible Place-Exchange on Pt(111)"
Piotr Rybka "1) title: Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile

abstract
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique self-similar solution, and show that starting from arbitrary initial data, solution orbits converge to the self-similar solution. This is a joint work with D.Hilhorst and S.Roscani.

2) title: On the Dirichlet problem for the one-dimensional Rudin-Osher-Fatemi functional
abstract

In this paper we study when the minimizers of the one-dimensional ROF functional satisfy the Dirichlet boundary conditions in the trace sense."
Piotr Rybka Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
Koya Sakakibara Title of my talk: Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system
Bjorn Stinner Convergent finite element schemes with mesh smoothing for geometrically evolving curves and networks
Bjorn Stinner "Title:
Convergent finite element schemes with mesh smoothing for geometrically evolving curves and networks

Abstract:
Mesh-based methods for geometric evolution problems require adaptation and smoothing, particularly in the case of strong deformations. We consider finite element schemes based on classical approaches for geometric evolution equations but augmented with the gradient of the Dirichlet energy, or a variant of it, which is known to produce a tangential mesh movement beneficial for the mesh quality. However, this contribution ideally is accounted in a way such that the impact on the physics of the evolution is minimal. We focus on the one-dimensional case, where convergence of semi-discrete schemes can be proved, and discuss two cases. For curves moving by curvature whilst forming a triple junction, some tangential movement is required to ensure that the triple junction can move, too. Regarding the elastic flow of curves, the Dirichlet energy can serve as a replacement of the usual penalty in terms of the length functional in that, modulo rescaling, it yields the same minimisers in the long run. "
Bjorn Stinner "Title:
Convergent finite element schemes with mesh smoothing for geometrically evolving curves and networks

Abstract:
Mesh-based methods for geometric evolution problems require adaptation and smoothing, particularly in the case of strong deformations. We consider finite element schemes based on classical approaches for geometric evolution equations but augmented with the gradient of the Dirichlet energy, or a variant of it, which is known to produce a tangential mesh movement beneficial for the mesh quality. However, this contribution ideally is accounted in a way such that the impact on the physics of the evolution is minimal. We focus on the one-dimensional case, where convergence of semi-discrete schemes can be proved, and discuss two cases. For curves moving by curvature whilst forming a triple junction, some tangential movement is required to ensure that the triple junction can move, too. Regarding the elastic flow of curves, the Dirichlet energy can serve as a replacement of the usual penalty in terms of the length functional in that, modulo rescaling, it yields the same minimisers in the long run. "
Koichi Sudoh Geometric model of nanoparticle-assisted nanopore formation on solid substrates
Keisuke Takasao On obstacle problem for Brakke's mean curvature flow with Neumann boundary condition
Shuntaro Tsubouchi I am interested in the regularity of singular equations involving the one-Laplacian. A typical example of the fourth-order problem is found in Spohn's model of the crystal surface evolution. Also, second-order problems appear in the classical mathematical modeling of the motion of a Bingham flow. I have been studying gradient continuity, especially for second-order problems. I would be delighted if I could give a brief talk about the recent progress on these regularity results. The title of my talk is "Gradient continuity for very singular equations with one-Laplacian".
Yuki Ueda numerical analysis of PDE, total variation flow
Chandrasekhar Venkataraman Moving boundary problems on moving cell boundaries
Hiroshi Watanabe A constrained gradient system associated with 3D grain boundary motion
Glen Wheeler A simple and effective PDE model for bushfires
Masahiro Yamamoto Uniqueness in inverse problem of determining shapes of sub-boundaries by nonstationary heat equations

Progam of the last online meeting (2023)

preliminary meeting for the 81st Fujihara seminar

June 6 – 8, 2023

Program

June 6 (Tue)

1:00–1:25 PDT / 10:00–10:25 CEST / 17:00–17:25 JST
Tim Laux (Universität Bonn)
The large-data limit of the MBO scheme for data clustering

2:00–2:25 PDT / 11:00–11:25 CEST / 18:00–18:25 JST
Axel Voigt (Technische Universität Dresden)
Fluid deformable surfaces

June 7 (Wed)

6:00–6:25 PDT / 15:00–15:25 CEST / 22:00–22:25 JST
Masashi Mizuno (Nihon University)
A stochastic model of grain boundary motion

7:00–7:25 PDT / 16:00–16:25 CEST / 23:00–23:25 JST
Andrea Bertozzi (University of California, Los Angeles)
Energy Minimizing Surface Tension Configurations for Microparticles

June 8 (Thur)

1:00–1:25 PDT / 10:00–10:25 CEST / 17:00–17:25 JST
Hitoshi Miura (Nagoya City University)
Spontaneous oscillatory phenomenon in crystal growth, accompanied by accelerated growth rate

2:00–2:25 PDT / 11:00–11:25 CEST / 18:00–18:25 JST
Arnold Reusken (RWTH Aachen University)
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations

Organizers:

  • Charles M. Elliott (University of Warwick)
  • Yoshikazu Giga (The University of Tokyo)
  • Nao Hamamuki (Hokkaido University)
  • Michael Hinze (University of Koblenz)
  • Vanessa Styles (University of Sussex)
  • Etsuro Yokoyama (Gakushuin University)
  • Secretariat: Satoko Kimura / labgiga@ms.u-tokyo.ac.jp

Archive of the pre-conference ONLINE in 2022

June 7 (Tue), 2022

4:00–4:25 EDT / 10:00–10:25 CEST / 17:00–17:25 JST
Elisabetta Rocca (University of Pavia)
"A Cahn–Hilliard–Keller–Segel model with generalized logistic source describing tumor growth"

*Abstract available

5:00–5:25 EDT / 11:00–11:25 CEST / 18:00–18:25 JST
Koichi Sudoh (Osaka University)
"Surface diffusion driven evolution of periodic arrays of high aspect ratio holes: Experiment and simulation"



June 8 (Wed), 2022

8:00–8:25 EDT / 14:00–14:25 CEST / 21:00–21:25 JST
Jeremy Louis Marzuola (University of North Carolina at Chapel Hill)
"Recent progress on 2nd and 4th order nonlinear parabolic models related to epitaxy"


9:00–9:25 EDT / 15:00–15:25 CEST / 22:00–22:25 JST
Chun Liu (Illinois Institute of Technology)
"Energetic variational approaches for active and reactive fluids"

*Abstract available



June 9 (Thur), 2022

4:00–4:25 EDT / 10:00–10:25 CEST / 17:00–17:25 JST
Takashi Kagaya (Muroran Institute of Technology)
"Singular Neumann boundary condition for a class of fully nonlinear parabolic equations"

*Abstract available

5:00–5:25 EDT / 11:00–11:25 CEST / 18:00–18:25 JST
Balázs Kovács (University of Regensburg)
"A convergent algorithm for the interaction of mean curvature flow and diffusion"

*Abstract available