Homogenization of an incompressible non-Newtonian flow through a thin porous medium
M Anguiano, FJ Suárez-Grau - Zeitschrift für angewandte Mathematik und …, 2017 - Springer
In this paper, we consider a non-Newtonian flow in a thin porous medium Ω _ ε Ω ε of
thickness ε ε which is perforated by periodically solid cylinders of size a_ ε a ε. The flow is …
thickness ε ε which is perforated by periodically solid cylinders of size a_ ε a ε. The flow is …
The p-Laplacian equation in thin domains: The unfolding approach
In this work we apply the so called Unfolding Operator Method to analyze the asymptotic
behavior of the solutions of the p-Laplacian equation with Neumann boundary condition in a …
behavior of the solutions of the p-Laplacian equation with Neumann boundary condition in a …
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
M Anguiano, FJ Suárez-Grau - IMA Journal of Applied …, 2019 - academic.oup.com
We consider a non-Newtonian fluid flow in a thin domain with thickness and an oscillating
top boundary of period. The flow is described by the 3D incompressible Navier-Stokes …
top boundary of period. The flow is described by the 3D incompressible Navier-Stokes …
[HTML][HTML] Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries
In this work we study the behavior of a family of solutions of a semilinear elliptic equation,
with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating …
with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating …
[PDF][PDF] Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary
In this paper we analyze the asymptotic behavior of a family of solutions of a semilinear
elliptic equation, with homogeneous Neumann boundary condition, posed in a two …
elliptic equation, with homogeneous Neumann boundary condition, posed in a two …
A classical approach for the -Laplacian in oscillating thin domains
JC Nakasato, MC Pereira - 2021 - projecteuclid.org
In this work we study the asymptotic behavior of solutions to the p-Laplacian equation posed
in a 2-dimensional open set which degenerates into a line segment when a positive …
in a 2-dimensional open set which degenerates into a line segment when a positive …
The p-laplacian operator in oscillating thin domains
JC Nakasato, MC Pereira - arXiv preprint arXiv:1803.11310, 2018 - arxiv.org
In this paper we study the asymptotic behavior of the solutions of a class of nonlinear elliptic
problems posed in a 2-dimensional domain that degenerates into a line segment (a thin …
problems posed in a 2-dimensional domain that degenerates into a line segment (a thin …
[PDF][PDF] The p-Laplacian in thin channels with locally periodic rough boundaries
JC Nakasato, MC Pereira - arXiv preprint arXiv:2012.07650, 2020 - arxiv.org
In this work we analyze the asymptotic behavior of the solutions of the $ p $-Laplacian
equation with homogeneous Neumann boundary conditions set in bounded thin domains as …
equation with homogeneous Neumann boundary conditions set in bounded thin domains as …
Integrais concentradas na fronteira e aplicações para problemas elípticos semilineares
A Nogueira - 2017 - teses.usp.br
Neste trabalho estudamos propriedades de integrais concentradas, ou seja, integrais cujo
integrando atua apenas em uma vizinhança do domínio em questão. Tais termos são …
integrando atua apenas em uma vizinhança do domínio em questão. Tais termos são …
O p-Laplaciano em domínios finos oscilantes
JC Nakasato - 2019 - teses.usp.br
Nesse trabalho, usamos métodos da teoria de homogeneização para analisar o compor-
tamento assintótico das soluções da equação do p-Laplaciano com condição de contorno …
tamento assintótico das soluções da equação do p-Laplaciano com condição de contorno …