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Journal of Evolution Equations

, Volume 18, Issue 4, pp 1787–1818 | Cite as

Local well-posedness for relaxational fluid vesicle dynamics

  • Matthias Köhne
  • Daniel Lengeler
Article
  • 16 Downloads

Abstract

We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument. Our approach is based on the maximal \(L_p\)-regularity of the model’s linearization.

Keywords

Stokes equations Fluid dynamics Biological membrane Canham–Helfrich energy Lipid bilayer Local well-posedness Maximal regularity 

Mathematics Subject Classification

Primary 35Q92 Secondary 35A01 35A02 35Q74 35K25 76D27 

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Mathematisches InstitutHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany
  2. 2.Fakultät für MathematikUniversität RegensburgRegensburgGermany

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