Norbert Požár

Norbert Požár

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 Rn
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