Special Project
A minisemester on evolution of interfaces,
Sapporo July 12- August 13, 2010

Contents

Program : Tutorial Lectures and Interdisciplinary Conference “Mathematical Aspects of Crystal Growth”

July 26 (Monday)
09:00-09:50 Registration
09:50-10:00 Opening
10:00-10:50 Dionisios Margetis (Univ. of Maryland)
(Lecture I) A tale of two scales: Fundamentals of crystal surface morphological evolution » PDF file
11:10-12:00 Russel E. Caflisch (UCLA)
(Lecture I) Modeling and simulation for the growth of thin films » PDF file
14:00-14:30 Takeshi Ohtsuka (Gunma Univ.)
A level set method for spiral crystal growth and growth rate of crystal surface » PDF file
14:40-15:10 Gen Sazaki (Hokkaido Univ.)
Direct observation of elementary growth processes of ice crystals by advanced optical microscopy
15:30 - 16:00 Koichi Sudoh (Osaka Univ.)
Evolution of microsctructures on silicon substrates by surface diffusion » PDF file
16:20-00:00 Poster and Party
July 27 (Tuesday)
10:00-10:50 Dionisios Margetis (Univ. of Maryland)
(Lecture II) From discrete schemes to macroscopic evolution laws: I. Coarse graining and homogenization in epitaxial relaxation » PDF file
11:10-12:00 Russel E. Caflisch (UCLA)
(Lecture II) Strain and structure of thin films » PDF file
13:40 - 14:10 Follow-up time for tutorials
14:20 - 14:50 Atsushi Yagi (Osaka Univ.)
On the longtime behavior of solutions to a model for epitaxial growth » PDF file
15:00-00:00 Visit to Furukawa's Lab
July 28 (Wednesday)
10:00-10:50 James W. Evans (Iowa State Univ.)
Atomistic and coarse-grained modeling of epitaxial thin film growth » PDF file
11:10-12:00 Regis Monneau (ENPC)
(Lecture I) Introduction to dislocation dynamics » PDF file
July 29 (Thursday)
10:00-10:50 Regis Monneau (ENPC)
(Lecture II) Mean curvature motion (MCM) as a singular limit of dislocation dynamics » PDF file
11:10-12:00 Russel E. Caflisch (UCLA)
(Lecture III) Pattern formation on thin films » PDF file
14:00-14:30 Follow-up time for tutorials
14:40-15:30 Peter G. Vekilov (Univ. of Houston)
Kink generation by the association of 2D clusters » PDF file
15:50-16:20 Hiroyoshi Mitake (Hiroshima Univ.)
Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations » PDF file
16:30-17:00 Harald Garcke (Univ. of Regensburg)
Efficient computation of crystal growth using sharp interface methods » PDF file
July 30 (Friday)
10:00-10:50 Regis Monneau (ENPC)
(Lecture III) Homogenization of dislocation dynamics and of particle systems » PDF file
11:10-12:00 Dionisios Margetis (Univ. of Maryland)
(Lecture III) From discrete schemes to macroscopic evolution laws: II. Crystal facets and boundary conditions » PDF file
14:00-14:30 Follow-up time for tutorials
14:40-15:10 Yoshihito Kohsaka (Muroran Institute of Technology)
Stability analysis of steady states for surface diffusion equation in a bounded domain » PDF file
15:20-16:00 Discussion: ‘What is the next step?’
【Poster Session】
July 26 (Monday)
Vladimir Chalupecky (Kyushu Univ.)
Numerical solution of a two-scale system for concrete corrosion in sewer pipes » PDF file
Hiroki Hibino (NTT Basic Research Laboratories)
Dynamics of Si surface morphology » PDF file
Sarah Hormozi (Univ. of British Columbia)
Experimental studies on visco-plastic lubrication of visco-elastic fluid » PDF file
Qing Liu (Univ. of Tokyo)
Large-time asymptotics for a class of non-coercive Hamilton-Jacobi equations appearing in crystal growth » PDF file
Naohisa Ogawa (Hokkaido Institute of Technology)
Curvature dependent diffusion flow on surface with thickness » PDF file
Takeshi Ohtsuka (Gunma Univ.)
Numerical simulations for spiral crystal growth with impurity, interlaced spiral and variable step velocity » PDF file
Gen Sazaki (Hokkaido Univ.)
The appearances of two types of quasi-liquid layers at air-ice crystal interfaces observed by advanced optical microscopy
Koichi Sudoh (Osaka Univ.)
Step dynamics in relaxation of gratings on Si surfaces » PPT file
Yuen Au Yeung (TU Munich)
Crystallization in the Wulff shape via Gamma-Convergence » PDF file
Xiao-Yu Zhang (Yamagata Univ.)
High order numerical method for nonlinear two-point boundary value problems » PDF file
* Professor Ishiwata unfortunately had to cancel the lecture.