activity
20122026
most citedExistence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

178 citations · 316 across the 39 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AP2022

On the regularity of weak solutions to the fluid-rigid body interaction problem

Boris Muha, Šárka Nečasová, Ana Radošević

We study a 3D fluid-rigid body interaction problem. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a sy…

math.AP2022★ 1 cited

Global weak solutions in nonlinear 3D thermoelasticity

Tomasz Cieślak, Boris Muha, Srđan Trifunović

Here we study a nonlinear thermoelasticity hyperbolic-parabolic system describing the balance of momentum and internal energy of a heat-conducting elastic body, preserving the posi…

math.AP2022

Mathematical Effects of Linear Visco-elasticity in Quasi-static Biot Models

Lorena Bociu, Boris Muha, Justin T. Webster

We investigate and clarify the mathematical properties of linear poro-elastic systems in the presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quanti…

math.AP2022★ 2 cited

Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid -- structure interaction problem

Mario Bukal, Boris Muha

Starting from a nonlinear 2D/1D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic structure, on the vanishing limit of the relative flu…

math.AP2022

Rational Decay of A Multilayered Structure-Fluid PDE System

George Avalos, Pelin G. Geredeli, Boris Muha

In this work, we consider a certain multilayered (thick layer) wave--(thin layer) wave--heat (fluid) interactive PDE system. Such coupled PDE systems have been used in the literatu…