2 citations · 4 across the 7 of their papers we have counts for
7 papers · 1 filter
Piecewise regular solutions to scalar balance laws with singular nonlocal sources
Lorena Bociu, Evangelia Ftaka, Khai T. Nguyen +1
The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels.…
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…
Weak Solutions in Nonlinear Poroelasticity with Incompressible Constituents
Lorena Bociu, Boris Muha, Justin T. Webster
We consider quasi-static poroelastic systems with incompressible constituents. The nonlinear permeability is taken to be dependent on solid dilation, and physical types of boundary…
Multilayered Poroelasticity Interacting with Stokes Flow
Lorena Bociu, Sunčica Čanić, Boris Muha +1
We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linea…
Nonlinear Quasi-static Poroelasticity
Lorena Bociu, Justin T. Webster
We analyze a quasi-static Biot system of poroelasticity for both compressible and incompressible constituents. The main feature of this model is a nonlinear coupling of pressure an…
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
Maurizio Verri, Giovanna Guidoboni, Lorena Bociu +1
The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous…