Andreas Rätz
Andreas Rätz
Postdoc Mathematics, HHU Düsseldorf University
Verified email at - Homepage
Cited by
Cited by
Solving PDEs in complex geometries: a diffuse domain approach
X Li, J Lowengrub, A Rätz, A Voigt
Communications in mathematical sciences 7 (1), 81, 2009
Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission
JS Lowengrub, A Rätz, A Voigt
Physical Review E 79 (3), 031926, 2009
PDE's on surfaces---a diffuse interface approach
A Rätz, A Voigt
Communications in Mathematical Sciences 4 (3), 575-590, 2006
Surface evolution of elastically stressed films under deposition by a diffuse interface model
A Rätz, A Ribalta, A Voigt
Journal of Computational Physics 214 (1), 187-208, 2006
Nucleation and growth by a phase field crystal (PFC) model
R Backofen, A Rätz, A Voigt
Philosophical Magazine Letters 87 (11), 813-820, 2007
Turing instabilities in a mathematical model for signaling networks
A Rätz, M Röger
Journal of mathematical biology 65 (6), 1215-1244, 2012
Geometric evolution laws for thin crystalline films: modeling and numerics
B Li, J Lowengrub, A Ratz, A Voigt
Communications in Computational Physics 6 (3), 433, 2009
Symmetry breaking in a bulk–surface reaction–diffusion model for signalling networks
A Rätz, M Röger
Nonlinearity 27 (8), 1805, 2014
A diffuse-interface approximation for step flow in epitaxial growth
F Otto, P Penzler, A Rätz, T Rump, A Voigt
Nonlinearity 17 (2), 477, 2003
Two-phase flow equations with a dynamic capillary pressure
J Koch, A Rätz, B Schweizer
European Journal of Applied Mathematics 24 (1), 49-75, 2013
Hysteresis models and gravity fingering in porous media
A Rätz, B Schweizer
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2014
Extracting grain boundaries and macroscopic deformations from images on atomic scale
B Berkels, A Rätz, M Rumpf, A Voigt
Journal of Scientific Computing 35 (1), 1-23, 2008
10.1103/PhysRevE. 79.031926
JS Lowengrub, A Rätz, A Voigt
Phys. Rev. E 79 (031926), 13, 2009
A well-posed hysteresis model for flows in porous media and applications to fingering effects
A Lamacz, A Rätz, B Schweizer
Advances in Mathematical Sciences and Applications 21 (2), 33, 2011
Spiral growth and Step edge barriers
A Redinger, O Ricken, P Kuhn, A Rätz, A Voigt, J Krug, T Michely
Physical review letters 100 (3), 035506, 2008
A diffuse-interface approximation for surface diffusion including adatoms
A Rätz, A Voigt
Nonlinearity 20 (1), 177, 2006
A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
H Garcke, J Kampmann, A Rätz, M Röger
Mathematical Models and Methods in Applied Sciences 26 (06), 1149-1189, 2016
Phase-field model for island dynamics in epitaxial growth
A Rätz, A Voigt
Applicable Analysis 83 (10), 1015-1025, 2004
Various phase-field approximations for epitaxial growth
A Rätz, A Voigt
Journal of crystal growth 266 (1-3), 278-282, 2004
Thermodynamically consistent models for two-component vesicles
F HAUßER, S Li, J Lowengrub, W Marth, A Rätz, A Voigt
Int. J. Biomath. Biostat 2 (1), 19-48, 2013
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