On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method-Reference-Cited by-同舟云学术

On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method

Published:2017-10-23 Issue:01 Volume:20 Page:1650064
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Berselli Luigi C.¹,Spirito Stefano²

Affiliation:

1. Dipartimento di Matematica, Università di Pisa, I-56127 Pisa, Italy

2. GSSI – Gran Sasso Science Institute, 67100 L’Aquila, Italy

Abstract

We prove that suitable weak solutions of 3D Navier–Stokes equations in bounded domains can be constructed by a particular type of artificial compressibility approximation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500644

Reference36 articles.

1. Lp-theory for Stokes and Navier–Stokes equations with Navier boundary condition

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