Date

2021年5月27日 (木) 13:00 14:00

Sponsored and organized by TDIC

Date

2021年5月27日 (木) 10:00 11:00

Professor Irene Fonseca, Carnegie Mellon University

Title: Phase Transitions in Heterogeneous Media: Equilibria and Geometric Flows

Abstract:

A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In the case where the scale of the small homogeneities is of the same order of the scale governing the phase transition, the interaction between homogenization and the phase transitions process leads to an anisotropic interfacial energy.

The underlying gradient flow provides unconditional convergence results for an Allen-Cahn type bi-stable reaction diffusion equation in a periodic medium. The limiting dynamics are given by an analog for anisotropic mean curvature flow, of the formulation due to Ken Brakke. As an essential ingredient in the analysis, an explicit expression for the effective surface tension, which dictates the limiting anisotropic mean curvature, is obtained.

This is joint work with Riccardo Cristoferi (Radboud University, The Netherlands), Adrian Hagerty, Cristina Popovici, Rustum Choksi (McGill), Jessica Lin (McGill), and Raghavendra Venkatraman (CMU).

Date

2021年5月13日 (木) 10:00 11:00

Professor Giovanni Leoni , Carnegie Mellon University

Title: Some remarks on homogeneous fractional Sobolev spaces

Date

2021年4月19日 (月) 9:00

Language: English

Date

2021年4月14日 (水) 16:30 17:30

Prof. Meheboob Alam, Jawaharlal Nehru Centre for Advanced Scientific Research (JNCASR), Language: English, no interpretation.

Date

2021年4月14日 (水) 10:00 11:00

"Dr. Reiko Sugiura, Professor, Kindai University. Language: English, no interpretation."

Date

2021年4月15日 (木) 16:00 17:00

Professor Giuseppe Mingione, University of Parma

Title: Perturbations beyond Schauder

Date

2021年4月21日 (水) 16:30 18:30

★SPECIAL LECTURE Part 2/3

Dr. Adolfo Arroyo-Rabasa, University of Warwick

Title: Slicing and fine properties for functions with Bounded \(\mathcal{A}\)-variation - Proof of the slicing characterization and statement of the structure theorem

Date

2021年4月14日 (水) 16:30 18:30

★SPECIAL LECTURE Part 2/3

Dr. Adolfo Arroyo-Rabasa, University of Warwick

Title: Slicing and fine properties for functions with Bounded \(\mathcal{A}\)-variation - Proof of the slicing characterization and statement of the structure theorem

Date

2021年4月7日 (水) 16:30 18:30

Dr. Adolfo Arroyo-Rabasa, University of Warwick

Title: Slicing and fine properties for functions with Bounded \(\mathcal{A}\)-variation - Introduction  and characterization of slicing properties

Pages