Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

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

doi:10.1002/mma.4006

Semi-strong and strong solutions for variable density asymmetric fluids in unbounded 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

10 Scopus citations

Abstract

We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C³. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

Original language	English
Pages (from-to)	757-774
Number of pages	18
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	3
DOIs	https://doi.org/10.1002/mma.4006
State	Published - 1 Feb 2017

Keywords

35Q35
76D03
asymmetric fluids
regularity theory
semi-Galerkin approximations
semi-strong solutions
strong solutions
subclass 35Q30

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10.1002/mma.4006

Cite this

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title = "Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains",

abstract = "We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.",

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

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AU - Braz e Silva, Pablo

AU - Cruz, Felipe W.

AU - Rojas-Medar, Marko A.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

AB - We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

KW - 35Q35

KW - 76D03

KW - asymmetric fluids

KW - regularity theory

KW - semi-Galerkin approximations

KW - semi-strong solutions

KW - strong solutions

KW - subclass 35Q30

UR - https://www.scopus.com/pages/publications/84994175839

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DO - 10.1002/mma.4006

M3 - Article

AN - SCOPUS:84994175839

SN - 0170-4214

VL - 40

SP - 757

EP - 774

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 3

ER -

Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

Abstract

Keywords

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