$$L^p$$-theory for a fluid–structure interaction model
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Abstract We consider a fluid–structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in $$L^p$$ L p -Sobolev spaces for a linearized version. Based on this, we show existence and uniqueness of the strong solution of the nonlinear system for small data.
2017 ◽
2017 ◽
Vol 232
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pp. 012030
2018 ◽
Vol 9
(4)
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pp. 739-751
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2018 ◽
Vol 21
(16)
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pp. 813-823
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2016 ◽
Vol 2
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pp. 2439-2446
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2012 ◽
Vol 231
(4)
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pp. 1822-1847
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