Strong solutions in \(L^2\) framework for fluid-rigid body interaction problem. Mixed case

DOI10.12775/TMNA.2018.028zbMath1410.35108arXiv1707.00858OpenAlexW2963456382MaRDI QIDQ1728921

Hind Al Baba, Boris Muha, Nikolai V. Chemetov, Šarka Matušú-Nečasová

Publication date: 26 February 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00858

zbMATH Keywords

strong solutionNavier boundary conditionfluid-rigid motion interaction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Dynamics of a rigid body and of multibody systems (70E99) PDEs in connection with mechanics of particles and systems of particles (35Q70) Strong solutions to PDEs (35D35)

Related Items (8)

Energy equality and uniqueness of weak solutions of a ``viscous incompressible fluid \(+\) rigid body system with Navier slip-with-friction conditions in a 2D bounded domain ⋮ Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel ⋮ A uniqueness result for 3D incompressible fluid-rigid body interaction problem ⋮ Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition ⋮ Moving boundary problems ⋮ On a Viscoelastoplastic Porous Medium Problem with Nonlinear Interaction ⋮ \(L^p\)-strong solution to fluid-rigid body interaction system with Navier slip boundary condition ⋮ Self-propelled motion of a rigid body inside a density dependent incompressible fluid

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