Boundary control of small solutions to fluid-structure interactions arising in coupling of elasticity with Navier-Stokes equation under mixed boundary conditions

DOI10.1016/j.nonrwa.2018.04.004zbMath1406.35229OpenAlexW2806346803WikidataQ129795993 ScholiaQ129795993MaRDI QIDQ1994848

Katarzyna Szulc, Irena Lasiecka, Antoni Żochowski

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.04.004

zbMATH Keywords

mixed boundary conditionsfluid-structure interactionoptimal boundary control problemminimization of hydrostatic pressure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains ⋮ The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces ⋮ Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channel ⋮ Well-posedness for incompressible fluid-solid interaction with vorticity

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