Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Avalos, George"'
A result of Gevrey regularity is ascertained for a semigroup which models a fluid-structure interaction problem. In this model, the fluid evolves in a piecewise smooth or convex geometry $\mathcal{O}$. On a portion of the boundary, a fourth order pla
Externí odkaz:
http://arxiv.org/abs/2408.12000
A filtration system, comprising a Biot poroelastic solid coupled to an incompressible Stokes free-flow, is considered in 3D. Across the flat 2D interface, the Beavers-Joseph-Saffman coupling conditions are taken. In the inertial, linear, and non-dege
Externí odkaz:
http://arxiv.org/abs/2401.03897
Autor:
Egging, Paula, Avalos, George
This work presents qualitative and numerical results on a system of partial differential equations (PDEs) which models certain fluid-fluid interaction dynamics. This system models a compressible fluid in a domain $\Omega^+ \subset \mathbb{R}^2$, coup
Externí odkaz:
http://arxiv.org/abs/2210.12895
In this work, we consider a certain multilayered (thick layer) wave--(thin layer) wave--heat (fluid) interactive PDE system. Such coupled PDE systems have been used in the literature to describe the blood transport process in mammalian vascular syste
Externí odkaz:
http://arxiv.org/abs/2201.04320
Autor:
Avalos, George, Geredeli, Pelin G.
We consider a multilayer hyperbolic-parabolic PDE system which constitutes a coupling of 3D thermal - 2D elastic - 3D elastic dynamics, in which the boundary interface coupling between 3D fluid and 3D structure is realized via a 2D elastic equation.
Externí odkaz:
http://arxiv.org/abs/2103.00326
n this work we consider a multilayered heat-wave system where a 3-D heat equation is coupled with a 3-D wave equation via a 2-D interface whose dynamics is described by a 2-D wave equation. This system can be viewed as a simplification of a certain f
Externí odkaz:
http://arxiv.org/abs/1910.08596
We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so the fluid PD
Externí odkaz:
http://arxiv.org/abs/1808.05485
Autor:
Avalos, George, Geredeli, Pelin G.
In this study we consider a coupled system of partial differential equations (PDE's) which describes a certain structural acoustics interaction. One component of this PDE system is a wave equation, which serves to model the interior acoustic wave med
Externí odkaz:
http://arxiv.org/abs/1801.00051
Autor:
Avalos, George, Geredeli, Pelin G.
In this work, a result of exponential stability is obtained for solutions of a compressible flow-structure partial differential equation (PDE) model which has recently appeared in the literature. In particular, a compressible flow PDE and its associa
Externí odkaz:
http://arxiv.org/abs/1712.02852
We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unlike existing work in the literature, we linearize the compressible Navi
Externí odkaz:
http://arxiv.org/abs/1703.10855