# Jian-Jun Xu

**E-mail:**
xu@math.mcgill.ca

**Office:** Burnside Hall, Room 1247

**Office Hours:** T. Th. 2:00 to 3:00pm

**Office Phone:** (514) 398-3849

**Office FAX:** (514) 398-3899

## Previous Courses

## Courses for Winter Term 2008

## Courses for Fall Term 2007

## Research Interests - Past and Present

### General Research Areas:

Applied Mathematics,
Asymptotics and Numerical Analysis,
Dynamical Systems of Non-Linear PDE
with particular
emphasis in the areas of material science;
solidification physics; fluid dynamics; interfacial wave theory; pattern
formation and crystal growth.

### Specific Research Subjects

- Before 1981:
Applied mathematical problems in chemical engineering:
physico-chemical hydrodynamics, fluidization, fluid dynamical instabilities,
etc.
Applied mathematical problems in
astro-physics: formation of spiral structure of galaxies, etc.
- 1981-1983:
Applied mathematical problems in crystal growth and micro-gravity science: floating zone technique in crystal growth, thermo-capillary instability of liquid bridge, etc.
- 1985-2004:
Some fundamental theoretical
problems in condensed matters physics, material science and
fluid dynamics: phase transition,
dendritic growth in solidification, interfacial instabilities,
viscous fingering
formation in Hele-Shaw flow, pattern formation in non-equilibrium systems, etc.
- 2004--present:
Mathematical material science and mathematical biology.

## Research Publications

*February 20, 2009*