Geodesic
Asymptotic stability of local Helfrich minimizers
Daniel Lengeler1
1Universität Regensburg, Germany
Interfaces and free boundaries, Tome 20 (2018) no. 4, pp. 533-550

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DOI

We show that local minimizers of the Canham–Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in previous papers ([13, 14]). The proof is based on a Łojasiewicz–Simon inequality.
DOI : 10.4171/ifb/411
Classification : 35-XX, 76-XX
Mots-clés : Willmore energy, Canham–Helfrich energy, gradient flow, geometric flow,Willmore flow, Helfrich flow, Helfrich equation, Stokes system, linear elliptic system, fluid dynamics, biological membrane, lipid bilayer, well-posedness, stability

Daniel Lengeler  1

1 Universität Regensburg, Germany 
Daniel Lengeler. Asymptotic stability of local Helfrich minimizers. Interfaces and free boundaries, Tome 20 (2018) no. 4, pp. 533-550. doi: 10.4171/ifb/411
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     author = {Daniel Lengeler},
     title = {Asymptotic stability of local {Helfrich} minimizers},
     journal = {Interfaces and free boundaries},
     pages = {533--550},
     year = {2018},
     volume = {20},
     number = {4},
     doi = {10.4171/ifb/411},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/411/}
}
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