# Norbert Požár

- Researcher (特任研究員)

- University of Tokyo
- Graduate School of Mathematical Sciences
- 東京大学大学院数理科学研究科

# Norbert Pozar’s homepage

## Research

- Curriculum Vitae

### Papers and preprints

- Anisotropic total variation flow of non-divergence type on a higher dimensional torus
- with M.-H. Giga and Y. Giga. To appear in Adv. Math. Sci. Appl. arXiv
- Homogenization of the Hele-Shaw problem in periodic spatiotemporal media
- Submitted. arXiv
- Periodic total variation flow of non-divergence type in
*R*^{n} - with M.-H. Giga and Y. Giga. Submitted. arXiv
- Nonlinear elliptic-parabolic problems
- with I. Kim. To appear in Arch. Rational Mech. Anal. arXiv
- Long-time behavior of a Hele-Shaw type problem in random media
- Interfaces Free Bound.
**13**(2011), no. 3, 373–395. (article link) - Viscosity Solutions for the two-phase Stefan Problem
- with I. Kim. Comm. Partial Differential Equations
**36**(2011), no. 1, 42–66 (article link) - Selected properties of stationary axially symmetric fields in general relativity
- Master’s thesis

### Numerics

- CrystalSolver
- 2D finite difference solver in Javascript running on GPU through WebGL (two-phase Stefan problem and total variation flow)
- Two-phase Stefan problem with a mushy region
- videos

### Notes

- Viscosity solutions for the porous medium equation
- old notes

## Links

### Useful math tools

- git –
*the fast version control system*. Great tool when collaborating on a TeX document with multiple people, automatic version tracking, merging… - pandoc – converter between many formats, in particular markdown, HTML and LaTeX. Easy to create structured well-formed HTML pages, include math formulas into HTML pages (supports MathJax).
- GNU make for Windows – automatization of the build process.
- Inkscape – great vector drawing program, supports automatic export of images to
`.pdf`

,`.ps`

,`.dvi`

with labels stored in LaTeX.

Made with Notepad++, pandoc and less.js/less.js-windows.

Math delivered using MathJax.

Norbert Požár, 2012