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Title: Modified FVK Model
Authors: Del Corso, G.
Georgiev, V.
Keywords: Liquid crystal
Föppl–von Kärmán model
Vibrating elastic plate
Strichartz estimates
Yukawa potential
Issue Date: 2019
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 55p-70p
Abstract: This paper considers a generalization of Föppl–von Kärmán model for elastic plate depending on a parameter σ. We prove global well posedness for the Cauchy problem with small initial data and σ = 1 via Strichartz estimate for vibrating plate and Riesz transform. We generalize this result to a perturbed version of the original case (σ = 2) with the use of Yukawa potential. 2010 Mathematics Subject Classification: 35J50, 35Q40, 35J45.
Description: [Georgiev V.; Георгиев В.]
ISSN: 0204-9805
Appears in Collections:2019 Volume 30

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