The Role of Metrics in the Theory of Partial Differential Equations

and at Akira Suzuki Hall during July 9 - July 13, respectively.

10:30 - 10:40 | Opening Remarks |
---|---|

10:40 - 11:30 | Sergiu Klainerman On the mathematical theory of black holes, I Slides |

13:30 - 14:50 | Poster Session (Venue: Conference Room 1) |

15:00 - 15:50 | Gerhard Huisken Mean curvature flow with surgery of embedded mean-convex surfaces in 3-manifolds |
---|---|

16:00 - 16:50 | Mu-Tao Wang Quasilocal mass and isometric embedding Slides |

15:00 - 15:50 | Yi Zhou Global instability of the multi-dimensional plane shocks for the isothermal Euler equations Slides |
---|---|

16:00 - 16:50 | Piero D'Ancona On the defocusing supercritical wave equation outside a ball Slides |

09:30 - 10:20 | Mihalis Dafermos Black hole interiors and the strong cosmic censorship conjecture in general relativity, I |
---|---|

10:40 - 11:30 | Sergiu Klainerman On the mathematical theory of black holes, II Slides |

13:30 - 14:00 | Toru Kajigaya Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow |
---|---|

14:10 - 14:40 | Norihiro Tanahashi Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects Slides |

15:00 - 15:50 | Gilbert Weinstein Harmonic maps with prescribed singularities and applications in general relativity Slides |

16:00 - 16:50 | Sumio Yamada Harmonic maps in general relativity |

13:30 - 14:00 | Mamoru Okamoto Random data Cauchy problem for the energy-critical nonlinear Schrodinger equations |
---|---|

14:10 - 14:40 | Takahisa Inui Global behavior of solutions to the energy critical nonlinear damped wave equation |

15:00 - 15:50 | Kenichi Ito Asymptotics of generalized eigenfunctions on manifold with Euclidean and/or hyperbolic ends Slides |

16:00 - 16:50 | Wei-Min Wang Time quasi-periodic solutions to the nonlinear Klein-Gordon equations Slides |

09:30 - 10:20 | Jean-Marc Delort Long time existence results for Hamiltonian non-linear Klein-Gordon equations on some compact manifolds, I Slides |
---|---|

10:40 - 11:30 | Mihalis Dafermos Black hole interiors and the strong cosmic censorship conjecture in general relativity, II |

12:00 - | Excursion |

09:30 - 10:20 | Sergiu Klainerman On the mathematical theory of black holes, III Slides |
---|---|

10:40 - 11:30 | Jean-Marc Delort Long time existence results for Hamiltonian non-linear Klein-Gordon equations on some compact manifolds, II |

13:30 - 14:50 | Poster Session (Venue: Hall) |

15:00 - 15:50 | Vanessa Styles Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface |
---|---|

16:00 - 16:50 | Richard Tsai Volumetric extensions of variational problems defined on surfaces |

15:00 - 15:50 | Joachim Krieger On stability of blow up solutions for the critical co-rotational wave maps problem |
---|---|

16:00 - 16:50 | Soichiro Katayama Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition |

09:30 - 10:20 | Mihalis Dafermos Black hole interiors and the strong cosmic censorship conjecture in general relativity, III |
---|---|

10:40 - 11:30 | Jean-Marc Delort Long time existence results for Hamiltonian non-linear Klein-Gordon equations on some compact manifolds, III |

13:30 - 14:00 | Koya Sakakibara Numerical analysis of one-harmonic equation with values in matrix Lie group |
---|---|

14:10 - 14:40 | Tatsu-Hiko Miura Singular limit problem for the Navier-Stokes equations in a curved thin domain |

15:00 - 15:50 | Seiro Omata Free boundary problems of hyperbolic type with a focus on the free boundary conditions |

16:00 - 16:50 | Selim Esedoglu Algorithms for motion of networks by weighted mean curvature |

13:30 - 14:00 | Masahiro Ikeda Blow-up of solutions to semilinear wave equation with a scaling invariant critical damping Slides |
---|---|

14:10 - 14:40 | Hayato Miyazaki The initial value problem for the generalized KdV equation with low degree of non-linearity Slides |

15:00 - 15:50 | Jacob Sterbenz Local energy decay and the vector field method |

16:00 - 16:50 | Ning-An Lai Weighted L ^{2} - L^{2} estimate for wave equation and its applicationSlides |

10:40 - 11:30 | Felix Otto Nonlinear partial differential equations and interfacial motions as gradient flow, I |
---|---|

13:30 - 14:50 | Poster Session (Venue: Foyer) |

15:00 - 15:50 | Akito Futaki Geometric nonlinear problems and GIT stability through moment maps |
---|---|

16:00 - 16:50 | Yoshihiro Tonegawa Existence theorem for Brakke flow |

15:00 - 15:50 | Hiroyuki Takamura Multipliers on the wave-like blow-up for nonlinear damped wave equations Slides |
---|---|

16:00 - 16:50 | Yuichiro Sekiguchi Numerical relativity: generating space-time on computers Slides |

09:30 - 10:20 | Antonin Chambolle Anisotropic and crystalline mean curvature flows, I Slides |
---|---|

10:40 - 11:30 | Felix Otto Nonlinear partial differential equations and interfacial motions as gradient flow, II |

13:30 - 14:00 | Shouhei Honda Recent developments on metric measure spaces with Ricci bounds from below |
---|---|

14:10 - 14:40 | Kelei Wang Simons cone and saddle solutions of the Allen-Cahn equation Slides |

15:00 - 15:50 | Kazuo Akutagawa Edge-cone Einstein metrics and Yamabe metrics Slides |

16:00 - 16:50 | Matteo Novaga Evolution by curvature of planar networks Slides |

13:30 - 14:00 | Yusuke Sugiyama Global existence and degeneracy in finite time for 1D quasilinear wave equations Slides |
---|---|

14:10 - 14:40 | Takiko Sasaki The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension Slides |

15:00 - 15:50 | Karen Yagdjian A novel integral transform approach to solving hyperbolic equations in the curved spacetimes Slides |

16:00 - 16:50 | Makoto Nakamura On some effects of background metrics for several partial differential equations |

09:30 - 10:20 | Charles M. Elliott Variational, geometric and surface PDEs in cell biology, I |
---|---|

10:40 - 11:30 | Antonin Chambolle Anisotropic and crystalline mean curvature flows, II |

12:00 - | Excursion |

09:30 - 10:20 | Felix Otto Nonlinear partial differential equations and interfacial motions as gradient flow, III |
---|---|

10:40 - 11:30 | Charles M. Elliott Variational, geometric and surface PDEs in cell biology, II |

13:30 - 14:50 | Poster Session (Venue: Foyer) |

15:00 - 15:50 | Miyuki Koiso Uniqueness problem for closed non-smooth hypersurfaces with constant anisotropic mean curvature |
---|---|

16:00 - 16:50 | Neshan Wickramasekera Regularity of minimal and CMC stable hypersurfaces |

15:00 - 15:50 | Masaharu Taniguchi Multidimensional traveling fronts in reaction-diffusion equations |
---|---|

16:00 - 16:50 | Elliott Ginder Approximation methods for oscillatory and constrained interfacial dynamics |

09:30 - 10:20 | Antonin Chambolle Anisotropic and crystalline mean curvature flows, III |
---|---|

10:40 - 11:30 | Charles M. Elliott Variational, geometric and surface PDEs in cell biology, III |

13:30 - 14:00 | Qing Liu Large exponent behavior of power curvature flow and applications Slides |
---|---|

14:10 - 15:00 | Yoshihito Kohsaka On the dynamics for the volume-preserving geometric flows |

15:10 - 16:00 | Katsuyuki Ishii Convergence of a threshold-type algorithm for mean curvature flow |

13:30 - 14:00 | Bronwyn Hajek Analytical solutions of nonlinear reaction-diffusion equations in various coordinate systems Slides |
---|---|

14:10 - 15:00 | Petrus van Heijster Pinned localised solutions in a heterogeneous three-component FitzHugh-Nagumo model |

15:10 - 16:00 | Sanjeeva Balasuriya Stochastic sensitivity of finite-time Lagrangian motion |

16:00 - 16:10 | Closing |