An airflow in the first four generations of the tracheobronchial tree was simulated by the 1D model of incompressible fluid flow through the network of the elastic tubes coupled with 0D models of lumped alveolar components, which aggregates parts of the alveolar volume and smaller airways, extended with convective transport model throughout the lung and alveolar components which were combined w...

We introduce and solve a generalized 1+1D Lorentzian gravity model in which a certain subclass of baby-universes is allowed, the occurrence of these being governed by a coupling constant β. Combining transfer matrix-, saddle pointand path integral techniques we show that for β < 1 it is possible to take a continuum limit in which the model is described by a 1D quantum Calogero Hamiltonian. The ...

An analytical model developed to describe the crystallization kinetics of spherical glass particles has been derived in this work. A continuous phase transition from three-dimensional (3D)-like to 1D-like crystal growth has been considered and a procedure for the quantitative evaluation of the critical time for this 3D– 1D transition is proposed. This model also allows straightforward determina...

We derive here a simplified discrete one-dimensional (1D) model describing the main features of shock waves. In order to avoid expensive multidimensional simulations, 1D models are commonly used, but the existing ones often exhibit some spurious physically irrelevant behavior. Here we build a 1D model with perturbations arising from mean higher-dimensional behavior. The coupling of the system w...

Dimensionality in metal-oxide-semiconductor field-effect transistors: A comparison of one-dimensional and two-dimensional ballistic transistors" (2008). One-dimensional ͑1D͒ and two-dimensional ͑2D͒ metal-oxide-semiconductor field-effect transistors are compared using an approach based on the top-of-the-barrier ballistic transport model. The results for model devices show that 1D and 2D transistors...

We consider the coupling between three-dimensional (3D) and one-dimensional (1D) fluidstructure interaction (FSI) models describing blood flow inside compliant vessels. The 1D model is a hyperbolic system of partial differential equations. The 3D model consists of the Navier-Stokes equations for incompressible Newtonian fluids coupled with a model for the vessel wall dynamics. A non standard fo...

In this paper, we study the dynamic stability of the 3D axisymmetric NavierStokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis. An important property of this 1D model is that one can construct from its solutions a family of exact solutions of the 3D Navier-Stokes equations. The nonlinear...