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 | 271 | 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—Statistical, Nonlinear, and Soft Matter Physics 79 (3 …, 2009 | 222 | 2009 |
PDE's on surfaces---a diffuse interface approach A Rätz, A Voigt | 160 | 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 | 134 | 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 | 125 | 2007 |
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 | 104 | 2009 |
Symmetry breaking in a bulk–surface reaction–diffusion model for signalling networks A Rätz, M Röger Nonlinearity 27 (8), 1805, 2014 | 88 | 2014 |
Turing instabilities in a mathematical model for signaling networks A Rätz, M Röger Journal of mathematical biology 65, 1215-1244, 2012 | 87 | 2012 |
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 | 55 | 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 | 54 | 2013 |
Hysteresis models and gravity fingering in porous media A Rätz, B Schweizer ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2014 | 44 | 2014 |
10.1103/PhysRevE. 79.031926 JS Lowengrub, A Rätz, A Voigt Phys. Rev. E 79 (031926), 13, 2009 | 38 | 2009 |
Extracting grain boundaries and macroscopic deformations from images on atomic scale B Berkels, A Rätz, M Rumpf, A Voigt Journal of Scientific Computing 35, 1-23, 2008 | 38 | 2008 |
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 | 37 | 2016 |
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 | 36 | 2011 |
A diffuse-interface approximation for surface diffusion including adatoms A Rätz, A Voigt Nonlinearity 20 (1), 177, 2006 | 31 | 2006 |
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 | 29 | 2008 |
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 | 26 | 2013 |
Buckling instability of viral capsids—a continuum approach S Aland, A Rätz, M Röger, A Voigt Multiscale Modeling & Simulation 10 (1), 82-110, 2012 | 24 | 2012 |
Phase-field model for island dynamics in epitaxial growth A Rätz, A Voigt Applicable Analysis 83 (10), 1015-1025, 2004 | 23 | 2004 |