Naslov
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction

Autori
Caggio, Matteo ; Kreml, Ondřej ; Nečasová Šárka ; Roy Arnab ; Tang Tong

Izvornik
Journal of mathematical fluid mechanics (1422-6928) 23 (2021), 3; 50, 24

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Euler equations ; Fluid-rigid body interaction ; Measure-valued solutions ; Weak–strong uniqueness

Sažetak
We consider a coupled system of partial and ordinary differential equations describing the interaction between an incompressible inviscid fluid and a rigid body moving freely inside the fluid. We prove the existence of measure-valued solutions which is generated by the vanishing viscosity limit of incompressible fluid–rigid body interaction system under some physically constitutive relations. Moreover, we show that the measure-valued solution coincides with strong solution on the interval of its existence. This relies on the weak–strong uniqueness analysis. This is the first result of an existence of measure-valued solution and weak–strong uniqueness in measure-valued sense in the case of inviscid fluid–structure interaction.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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