A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis

A Ciorogar, R Stavre - Journal of Mathematical Fluid Mechanics, 2023 - Springer
This article presents a variational and numerical analysis for a thermal fluid–elastic structure
interaction problem related to the blood flow through a vessel. We prove the existence and …

Bibliographical Remarks

G Panasenko, K Pileckas - Multiscale Analysis of Viscous Flows in Thin …, 2024 - Springer
In this chapter we briefly describe the state of the art of the works on partial differential
equations set in thin domains. Such domains depend on the small parameter ε, which is the …

Nonstationary Navier-Stokes Equations in Tube Structures

G Panasenko, K Pileckas - Multiscale Analysis of Viscous Flows in Thin …, 2024 - Springer
Abstract Chapter Nonstationary Navier–Stokes Equations in Tube Structures formulates the
nonstationary initial boundary value problem for the Navier–Stokes equations in thin tube …