[HTML][HTML] On the nonlinear relationship between wall shear stress topology and multi-directionality in coronary atherosclerosis

HJ Carpenter, MH Ghayesh, AC Zander… - Computer Methods and …, 2023 - Elsevier
Abstract Background and Objective In this paper we investigate twelve multi-
directional/topological wall shear stress (WSS) derived metrics and their relationships with …

Coupled moving particle simulation–finite-element method analysis of fluid–structure interaction in geodisasters

C Zhu, Z Chen, Y Huang - International Journal of Geomechanics, 2021 - ascelibrary.org
Geodisasters associated with fluidized geomaterials, such as flow-like landslides, flow
slides, and debris flows, pose a tremendous threat to communities and the environment …

A Nitsche-based formulation for fluid-structure interactions with contact

E Burman, MA Fernández, S Frei - ESAIM: Mathematical Modelling …, 2020 - esaim-m2an.org
We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with
contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 …

A variational approach to hyperbolic evolutions and fluid-structure interactions

B Benešová, M Kampschulte… - Journal of the …, 2023 - content.ems.press
We show the existence of a weak solution for a system of partial differential equations
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …

[HTML][HTML] Analysis of the coupled Navier–Stokes/Biot problem

A Cesmelioglu - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
We analyze a weak formulation of the coupled problem defining the interaction between a
free fluid and a poroelastic structure. The problem is governed by the time-dependent …

Small data global existence for a fluid-structure model

M Ignatova, I Kukavica, I Lasiecka, A Tuffaha - Nonlinearity, 2017 - iopscience.iop.org
We address the system of partial differential equations modeling motion of an elastic body
inside an incompressible fluid. The fluid is modeled by the incompressible Navier–Stokes …

Moving boundary problems

S Čanić - Bulletin of the American Mathematical Society, 2021 - ams.org
Moving boundary problems are ubiquitous in nature, technology, and engineering.
Examples include the human heart and heart valves interacting with blood flow …

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

V Mácha, B Muha, Š Nečasová, A Roy… - … in partial differential …, 2022 - Taylor & Francis
In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a
heat-conducting fluid. The shell is governed by linear thermoelasticity equations and …

Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media

J Kuan, S Čanić, B Muha - Comptes …, 2023 - comptes-rendus.academie-sciences …
We study the existence of a weak solution to a regularized, moving boundary, fluid-structure
interaction problem with multi-layered poroelastic media consisting of a reticular plate …

The existence of a weak solution for a compressible multicomponent fluid structure interaction problem

M Kalousek, S Mitra, Š Nečasová - Journal de Mathématiques Pures et …, 2024 - Elsevier
We analyze a system of PDEs governing the interaction between two compressible mutually
noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain …