Mugnai, Luca
- The Allen-Cahn Action functional in higher dimensions
2007/04/16 by Luca Mugnai, Matthias Röger, Mugnai, Luca +1 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #35R60 #49J45 (Primary) #53C44 (Secondary) #60F10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
2009/02/11 by Mugnai, Luca, Röger, Matthias · 2 citations
#35K55 #49Q15 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- A phase field model for the optimization of the Willmore energy in the\n class of connected surfaces
2013/05/22 by Patrick Dondl, Luca Mugnai, Dondl, Patrick W. +3 · 2 citations
Computer Science · Engineering · Materials Science · Mathematics · #49Q10 #74G65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations #Quasicrystal Structures and Properties #Solidification and crystal growth phenomena
- Global solutions to the volume-preserving mean-curvature flow
2015/02/25 by Luca Mugnai, Mugnai, Luca, Christian Seis +3 · 2 citations
Engineering · Mathematics · #53C44 #58E12 #65M06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- Confined elastic curves
2010/05/20 by Dondl, Patrick W., Mugnai, Luca, Röger, Matthias · 1 citation
#49Q10 #74G65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)