Global strong solutions for variable density incompressible asymmetric fluids in thin domains

Pablo Braz e Silva; Felipe W. Cruz; Marko A. Rojas-Medar

doi:10.1016/j.nonrwa.2020.103125

Global strong solutions for variable density incompressible asymmetric fluids in thin domains

Pablo Braz e Silva
, Felipe W. Cruz
, Marko A. Rojas-Medar

Department of Mathematics

Universidade Federal de Pernambuco

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

11 Scopus citations

Abstract

We prove existence of global in time strong solutions for the system of equations modelling nonstationary flows of variable density incompressible asymmetric fluids in 3-dimensional thin domains of the form Ω=defR²×(0,ϵ), where 0<ϵ≤1. Moreover, we show that, when ϵ→0⁺, the linear and angular velocities tend to vanish away from the initial time.

Original language	English
Article number	103125
Journal	Nonlinear Analysis: Real World Applications
Volume	55
DOIs	https://doi.org/10.1016/j.nonrwa.2020.103125
State	Published - Oct 2020

Keywords

Asymmetric fluids
Strong solutions
Thin domains

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10.1016/j.nonrwa.2020.103125

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title = "Global strong solutions for variable density incompressible asymmetric fluids in thin domains",

abstract = "We prove existence of global in time strong solutions for the system of equations modelling nonstationary flows of variable density incompressible asymmetric fluids in 3-dimensional thin domains of the form Ω=defR2{\texttimes}(0,ϵ), where 0<ϵ≤1. Moreover, we show that, when ϵ→0+, the linear and angular velocities tend to vanish away from the initial time.",

keywords = "Asymmetric fluids, Strong solutions, Thin domains",

author = "\{Braz e Silva\}, Pablo and Cruz, \{Felipe W.\} and Rojas-Medar, \{Marko A.\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = oct,

doi = "10.1016/j.nonrwa.2020.103125",

language = "English",

volume = "55",

journal = "Nonlinear Analysis: Real World Applications",

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T1 - Global strong solutions for variable density incompressible asymmetric fluids in thin domains

AU - Braz e Silva, Pablo

AU - Cruz, Felipe W.

AU - Rojas-Medar, Marko A.

PY - 2020/10

Y1 - 2020/10

N2 - We prove existence of global in time strong solutions for the system of equations modelling nonstationary flows of variable density incompressible asymmetric fluids in 3-dimensional thin domains of the form Ω=defR2×(0,ϵ), where 0<ϵ≤1. Moreover, we show that, when ϵ→0+, the linear and angular velocities tend to vanish away from the initial time.

AB - We prove existence of global in time strong solutions for the system of equations modelling nonstationary flows of variable density incompressible asymmetric fluids in 3-dimensional thin domains of the form Ω=defR2×(0,ϵ), where 0<ϵ≤1. Moreover, we show that, when ϵ→0+, the linear and angular velocities tend to vanish away from the initial time.

KW - Asymmetric fluids

KW - Strong solutions

KW - Thin domains

UR - https://www.scopus.com/pages/publications/85081997111

U2 - 10.1016/j.nonrwa.2020.103125

DO - 10.1016/j.nonrwa.2020.103125

M3 - Article

AN - SCOPUS:85081997111

SN - 1468-1218

VL - 55

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

M1 - 103125

ER -

Global strong solutions for variable density incompressible asymmetric fluids in thin domains

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Keywords

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