| Name |
Topic (s) |
| Andrea Bertozzi |
Phase field models and threshold dynamics in microfluidics and data science
free boundary problems in data science; surface area minimization problems in micro fluidic encapsulation
Energy minimizing surfaces for microencapsulation |
| Xingzhi Bian |
|
| Tokuhiro Eto |
I'm interested in solving the mean curvature flow and the Mullins-Sekerka flow in terms of translating them into variational problems. Deep learning scheme for PDE is currently hot subject to me. |
| Frédéric Flin |
A tentative presentation title:
Snow isothermal metamorphism described by a phase-field model applicable on microtomographic images: first results and outlooks
Main topics of interest:
-snow and ice physics
-modeling of free boundaries
-tomography and image analysis |
| Harald Garcke |
Viscoelastic phase field models for tumor growth
Interaction of mean curvature flow and diffusion on surfaces |
| Mi-Ho Giga |
Partial differential equations of diffusion type |
| Michael Gößwein |
Geometric Flows, Parabolic PDEs |
| Philip Herbert |
Shape optimisation using Lipschitz functions |
| Hiroki Hibino |
|
| Matthias Hieber |
|
| Michael Hintermüller |
|
| Pen-Yuan Hsu |
I am interested in regularity theory for the Navier-Stokes equations, self similar solution, vortex, and tornado-like flow simulation. |
| Takashi Kagaya |
Geometric flow, Boundary condition, Asymptotic behavior |
| Masato Kimura |
|
|
| John King |
Mathematical biology and continuum mechanics |
| Yoshihito Kohsaka |
higher order geometric evolution equation |
| Miyuki Koiso |
crystalline variational problems |
| Balázs Kovács |
|
| Shodai Kubota |
optimal control problem |
| Hirotoshi Kuroda |
|
| Michal Lasica |
My interests include functionals of linear growth, gradient flows and fourth order problems. |
| Chun Liu |
|
| Qing Liu |
I am interested in the following topics:
(1) recent developments in convex analysis for material sciences, image processing, control theory, etc: I would like to learn more recent math models arising in these fields for which convexity structures of PDEs or solutions plays an important role.
(2) analysis on non-Euclidean geometry and applications in control theory and data science: For example, analysis and PDEs on general metric spaces has recently attracted a great deal of attention. I am interested in this topic very much. I hope to find more real-world applications in connection with machine learning and data science to motivate our further work. |
| Dionisios Margetis |
4th-order singular parabolic PDE for epitaxial growth with exponential mobility |
| Jeremy Louis Marzuola |
Weighted gradient flows in material science models |
| Kuniyasu Misu |
obstacle problem
mean curvature flow equation
minimal surface |
| Hiroyoshi Mitake |
|
| Hitoshi Miura |
|
| Tatsu-Hiko Miura |
Interested in PDEs in thin domains and on surfaces |
| Tatsuya Miura |
elastic curve, elastic knot, elastic flow, surface diffusion flow, Topping conjecture, isoperimetric inequality, minimal surface, singular set of distance function |
Masashi Mizuno |
grain boundary motion and mean curvature flow, a stochastic model of grain boundary dynamics, nonlinear Fokker-Planck model |
| Takayuki Nakamuro |
crystallization, nucleation, crystal growth, transmission microscopy, image analysis, material science
Operando Observation of Crystallization at the Molecular Level by TEM |
| Atsushi Nakayasu |
|
| Masaki Ohnuma |
|
| Takeshi Ohtsuka |
Geometric evolution equation, Crystalline motion, Level set method, Allen-Cahn type equation, Viscosity solution, Numerical analysis, Evolution of spirals |
| Shinya Okabe
|
Geometric evolution equations, Higher order parabolic equations, Sobolev gradient flows, Obstacle problems. |
| Jun Okamoto
|
Calculus of variations, Phase-field model |
| Olivier Pierre-Louis
|
I can talk about: Dynamic Programming; Thermal fluctuations of clusters at surfaces.
I would like to hear about: Cahn-Hilliard and Cahn-Allen models; Control and optimal control. |
| Norbert Požár |
Continuum limit of dislocations with annihilation in one dimension |
| Paola Pozzi |
At the moment I am interested in the problem of finding a formulation of parametric elastic flow for curves in R^n that is amenable for FE- analysis and at the same yields good mesh properties. This is an ongoing research project in collaboration with Bjoern Stinner and not all results are finalized yet, therefore I would be extremely grateful if you could ask me in advance, whether I am ready to give a talk on this subject, before deciding to assign me a time slot (if any is available). |
| Thomas Ranner |
Numerical methods - especially finite element methods
Numerical analysis of partial differential equations
Fluid flow problems
Biologically inspired problems |
| Elisabetta Rocca |
Recent advances in phase-field modelling and analysis for tutor growth dynamics |
| Marcel J. Rost |
I can talk about:
- 1) an unusual, non-random nucleation of adatom islands on Pt(111)
- 2) a surprising place-exchange mechanism, where two oxygens lift a Pt atom almost 1monolayer high
- 3) a general growth mechanism that leads to nano-island formation during surface reactions with increased lattice constant
- 4) an overview on: surface science meets electrochemistry: our challenges for the future
I am interested in:
- a) proper interfacial energy descriptions taking into account also local curvature (Gibbs-Thomson), interaction energies, and surface strain/stress
- b) 3-fold symmetry of the herringbone reconstruction including stress/strain relation
- c) Frumkin Isotherms with rate constant or (even better) differential equation descriptions allowing the inclusion of diffusion terms
|
| Piotr Rybka |
crystal growth, Cahn-Hilliard type equations, total variation flow, convergence of gradient systems, stabilization of solutions to gradient flows |
| Koya Sakakibara |
Mathematical and numerical analysis of moving boundary problems |
| James A. Sethian |
|
| Ken Shirakawa |
gradient system of Kobayashi--Warren--Carter type, phase-field model of grain boundary motion, optimal control problem governed by Kobyashi--Warren--Carter type system |
| Bjorn Stinner |
If still possible I'd be delighted if I could give a talk titled "A finite element method for a network of curves evolving by curvature flow with triple junctions"
It is based on joint work with Paola Pozzi and a paper that has recently appeared. Here is a short abstract:
We present a computational method for curvature flow of a network of planar curves. Specifically, we study three parametrised curves that are connected by a triple junction in which conditions are imposed on the angles at which the curves meet. One of the key problems is the choice of a suitable tangential velocity that allows for motion of the triple junction, does not lead to mesh degeneration, and is amenable to an error analysis.
The idea is to start with a classical formulation that accounts for the geometric evolution, i.e., the movement in normal direction of the curves and the angel conditions in the triple junction. We then add a tangential movement such that the impact on the geometric evolution scales with a small regularisation parameter.
The problem admits a natural variational formulation that can be naturally discretised with finite elements. Convergence of the new semi-discrete finite element scheme including optimal error estimates for a fixed regularisation parameter are proved. The influence of the regularisation on the properties of the scheme and the accuracy of the results is numerically investigated. |
| Koichi Sudoh |
1) Experimental research on surface morphology.
2) Modeling and simulation of morphological evolution. |
| Keisuke Takasao |
Partial differential equation, Mean curvature flow, Minimal surface, Phase field method, Allen-Cahn equation. |
| Shuntaro Tsubouchi |
I am interested in regularity theory on a minimizer of certain energy functionals that involve the total variation energy. My particular interest lies in a very singular equation involving anisotropic diffusivity, which often appears in mathematical modeling of materials, including motion of fluid and crystal growth. |
| Yuki Ueda |
|
| Masaaki Uesaka |
|
| Yves van Gennip |
Differential equations on graphs; discrete-to-continuum convergence; image/data analysis applications
Variational models and PDEs (discrete and continuous) for image processing and data analysis |
| Chandrasekhar Venkataraman |
Numerical methods for PDE, Mathematical modeling especially of biological phenomena, Mathematical problems in cell biology |
| Hiroshi Watanabe |
Kobayashi-Warren-Carter model, Grain boundary motion, Phase field model, Gradient flow, Free boundary problem |
| John S. Wettlaufer |
|
| Glen Wheeler |
Geometric PDE, parabolic PDE, nonlinear PDE, Curvature flow |
| Masahiro Yamamoto |
|