Strong solutions to the equations of the unconsolidated porous media in 3D thin domains

Felipe W. Cruz; Elva E. Ortega-Torres; Marko A. Rojas-Medar

doi:10.1080/00036811.2023.2217825

Strong solutions to the equations of the unconsolidated porous media in 3D thin domains

Felipe W. Cruz
, Elva E. Ortega-Torres
, Marko A. Rojas-Medar

Department of Mathematics

Universidade Federal de Pernambuco
Universidad Católica del Norte

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove the existence of global in time strong solutions of incompressible flow equations through isotropic granular (unconsolidated) porous media in thin domains of the form (Formula presented.) with (Formula presented.). Also, we demonstrate that as (Formula presented.) the fluid velocity tends to vanish away from the initial time.

Original language	English
Pages (from-to)	970-984
Number of pages	15
Journal	Applicable Analysis
Volume	103
Issue number	5
DOIs	https://doi.org/10.1080/00036811.2023.2217825
State	Published - 2024

Keywords

Navier–Stokes equations
Porous medium
thin domain

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10.1080/00036811.2023.2217825

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title = "Strong solutions to the equations of the unconsolidated porous media in 3D thin domains",

abstract = "We prove the existence of global in time strong solutions of incompressible flow equations through isotropic granular (unconsolidated) porous media in thin domains of the form (Formula presented.) with (Formula presented.). Also, we demonstrate that as (Formula presented.) the fluid velocity tends to vanish away from the initial time.",

keywords = "Navier–Stokes equations, Porous medium, thin domain",

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AU - Cruz, Felipe W.

AU - Ortega-Torres, Elva E.

AU - Rojas-Medar, Marko A.

PY - 2024

Y1 - 2024

N2 - We prove the existence of global in time strong solutions of incompressible flow equations through isotropic granular (unconsolidated) porous media in thin domains of the form (Formula presented.) with (Formula presented.). Also, we demonstrate that as (Formula presented.) the fluid velocity tends to vanish away from the initial time.

AB - We prove the existence of global in time strong solutions of incompressible flow equations through isotropic granular (unconsolidated) porous media in thin domains of the form (Formula presented.) with (Formula presented.). Also, we demonstrate that as (Formula presented.) the fluid velocity tends to vanish away from the initial time.

KW - Navier–Stokes equations

KW - Porous medium

KW - thin domain

UR - https://www.scopus.com/pages/publications/85160553547

U2 - 10.1080/00036811.2023.2217825

DO - 10.1080/00036811.2023.2217825

M3 - Article

AN - SCOPUS:85160553547

SN - 0003-6811

VL - 103

SP - 970

EP - 984

JO - Applicable Analysis

JF - Applicable Analysis

IS - 5

ER -

Strong solutions to the equations of the unconsolidated porous media in 3D thin domains

Abstract

Keywords

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