Background: Physics-informed neural networks (PINNs) have emerged as a powerful tool for
solving inverse problems, especially in cases where no complete information about the …

We consider the steady Bingham flow in a two-dimensional thin Y-like shaped structure, with
no-slip boundary conditions and under the action of given external forces. After passage to …

The ADI type finite volume scheme is constructed to solve the non-classical heat conduction
equation. The original 3D model in a tube is reduced to a hybrid dimension model in a large …

Abstract The time periodic Navier–Stokes equations are considered in the three-
dimensional and two-dimensional settings with Dirichlet boundary conditions in thin tube …

In this paper, we construct an alternating direction implicit (ADI) type finite volume numerical
scheme to solve a nonclassical nonstationary heat conduction problem set in a 2D cross …

The method of asymptotic partial decomposition of a domain (MAPDD) proposed and
justified earlier for thin domains (rod structures, tube structures consisting of a set of thin …

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 …

The dissertation is dedicated to the simplified theoretical models for fluid flow in the network
of thin cylinders. The time-periodic Stokes system was considered in an unbounded domain …

El fenómeno de las mareas rojas ha afectado en las últimas décadas las costas del sur de
Chile, la región de los Lagos, la región de Aysén y la de Magallanes. En particular Chiloé se …

For the diagnosis, treatment planning and post-surgical monitoring of cardiovascular
disease (CVD), hemodynamic markers have proven to be of great utility. However, non …