The equations of a viscous incompressible chemically active fluid: Existence and uniqueness of strong solutions in an unbounded domain

A. C. Moretti; M. A. Rojas-Medar; M. Drina Rojas-Medar

doi:10.1016/S0898-1221(02)00148-7

The equations of a viscous incompressible chemically active fluid: Existence and uniqueness of strong solutions in an unbounded domain

A. C. Moretti
, M. A. Rojas-Medar
, M. Drina Rojas-Medar

Universidade Estadual de Campinas
Universidad de Antofagasta

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

3 Scopus citations

Abstract

The existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain was established. The initial boundary value problem for the equations describing the motion of a viscous-chemically-active fluid was studied. The results were proved using an iterative procedure together with the results due for nonstationary Stokes problem and parabolic problems. Results showed that the arguments were true for bounded and unbounded domains.

Original language	English
Pages (from-to)	287-299
Number of pages	13
Journal	Computers and Mathematics with Applications
Volume	44
Issue number	3-4
DOIs	https://doi.org/10.1016/S0898-1221(02)00148-7
State	Published - Aug 2002
Externally published	Yes

Keywords

Chemically active fluid
Navier-Stokes equations
Regularity of solutions
Unbounded domain

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10.1016/S0898-1221(02)00148-7

Cite this

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title = "The equations of a viscous incompressible chemically active fluid: Existence and uniqueness of strong solutions in an unbounded domain",

abstract = "The existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain was established. The initial boundary value problem for the equations describing the motion of a viscous-chemically-active fluid was studied. The results were proved using an iterative procedure together with the results due for nonstationary Stokes problem and parabolic problems. Results showed that the arguments were true for bounded and unbounded domains.",

keywords = "Chemically active fluid, Navier-Stokes equations, Regularity of solutions, Unbounded domain",

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AU - Rojas-Medar, M. Drina

PY - 2002/8

Y1 - 2002/8

N2 - The existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain was established. The initial boundary value problem for the equations describing the motion of a viscous-chemically-active fluid was studied. The results were proved using an iterative procedure together with the results due for nonstationary Stokes problem and parabolic problems. Results showed that the arguments were true for bounded and unbounded domains.

AB - The existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain was established. The initial boundary value problem for the equations describing the motion of a viscous-chemically-active fluid was studied. The results were proved using an iterative procedure together with the results due for nonstationary Stokes problem and parabolic problems. Results showed that the arguments were true for bounded and unbounded domains.

KW - Chemically active fluid

KW - Navier-Stokes equations

KW - Regularity of solutions

KW - Unbounded domain

UR - https://www.scopus.com/pages/publications/0036681367

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DO - 10.1016/S0898-1221(02)00148-7

M3 - Article

AN - SCOPUS:0036681367

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3-4

ER -

The equations of a viscous incompressible chemically active fluid: Existence and uniqueness of strong solutions in an unbounded domain

Abstract

Keywords

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