12 citations · 36 across the 20 of their papers we have counts for
33 papers
Semigroup Solutions for A Multilayered Filtration System
George Avalos, Galen Richard, Justin T. Webster
We investigate solutions to a coupled system of partial differential equations that describe a multilayered filtration system. Namely, we study the interaction of a viscous incompr…
Large Deflections of A Flow-Driven Cantilever with Kutta-Joukowski Flow Conditions
Maria Deliyianni, Irena Lasiecka, Justin T. Webster
We consider a canonical flow-structure system modeling airflow over a cantilevered beam. Flow-beam interactions arise in flight systems as well as alternative energy technologies,…
Uniqueness of Weak Solutions for Biot-Stokes Interactions
George Avalos, Justin T. Webster
We resolve the issue of uniqueness of weak solutions for linear, inertial fluid-poroelastic-structure coupled dynamics. The model comprises a 3D Biot poroelastic system coupled to…
Time-Periodic Solutions for Hyperbolic-Parabolic Systems
Stanislav Mosny, Boris Muha, Sebastian Schwarzacher +1
Time-periodic weak solutions for a coupled hyperbolic-parabolic system are obtained. A linear heat and wave equation are considered on two respective -dimensional spatial domain…
Weak and Strong Solutions for A Fluid-Poroelastic-Structure Interaction via A Semigroup Approach
George Avalos, Elena Gurvich, Justin T. Webster
A filtration system, comprising a Biot poroelastic solid coupled to an incompressible Stokes free-flow, is considered in 3D. Across the flat 2D interface, the Beavers-Joseph-Saffma…
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…