Existence of proper weak solutions to the Navier-Stokes-Fourier system

Details Existence of proper weak solutions to the Navier-Stokes-Fourier system Existence of proper weak solutions to the Navier-Stokes-Fourier system

Publishing date

2009-08-27

URL

arxiv.org/abs/0908.3978v2

Science

Mathematics

Field

Analysis of PDEs

Additional info

21 pages, v2: corrected typos

Type

Scientific paper

Abstract

The existence of proper weak solutions of the Dirichlet-Cauchy problem constituted by the Navier-Stokes-Fourier system which characterizes the incompressible homogeneous Newtonian fluids under thermal effects is studied. We call proper weak solutions such weak solutions that verify some local energy inequalities in analogy with the suitable weak solutions for the Navier-Stokes equations. Finally, we deal with some regularity for the temperature.

Affiliated with

Also associated with

No associations

Rating

Existence of proper weak solutions to the Navier-Stokes-Fourier system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence of proper weak solutions to the Navier-Stokes-Fourier system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of proper weak solutions to the Navier-Stokes-Fourier system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-411519