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Mathematics > Analysis of PDEs

arXiv:1807.07348 (math)
[Submitted on 19 Jul 2018]

Title:Global weak solutions for an Newtonian Fluid interacting with a Koiter Type Shell under natural boundary conditions

Authors:Hannes Eberlein, Michael Ruzicka
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Abstract:We consider an viscous, incompressible Newtonian fluid flowing through a thin elastic structure. The motion of the structure is described by the equations of a linearised Koiter shell, whose motion is restricted to transverse displacements. The fluid and the structure are coupled by the continuity of velocities and an equilibrium of surface forces on the interface between fluid and structure. On a fixed in- and outflow region we prescribe natural boundary conditions. We show that weak solutions exist as long as the shell does not self-intersect.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 76D05, 74F10
Cite as: arXiv:1807.07348 [math.AP]
  (or arXiv:1807.07348v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1807.07348

Submission history

From: Michael Ruzicka [view email]
[v1] Thu, 19 Jul 2018 11:33:02 UTC (116 KB)
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