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.
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The second author gratefully acknowledges support by DFG SPP 1506 “Transport Processes at Fluidic Interfaces”.
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Köhne, M., Lengeler, D. Local well-posedness for relaxational fluid vesicle dynamics. J. Evol. Equ. 18, 1787–1818 (2018). https://doi.org/10.1007/s00028-018-0461-3
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DOI: https://doi.org/10.1007/s00028-018-0461-3