@Article{IJNAM-15-4-5,
author = {Luigi, C., Berselli},
title = {Weak Solutions Constructed by Semi-Discretization are Suitable: The Case of Slip Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {15},
number = {4-5},
pages = {479--491},
abstract = {<p style="text-align: justify;">We consider the initial boundary value problem for the three dimensional Navier-Stokes
equations with Navier-type slip boundary conditions. After having properly formulated
the problem, we prove that weak solutions constructed by approximating the time-derivative by
backward finite differences (with Euler schemes) are suitable. The main novelty is the proof
of the local energy inequality in the case of a weak solution constructed by time discretization.
Moreover, the problem is analyzed with boundary conditions which are of particular interest in
view of applications to turbulent flows.</p>},
issn = {2617-8710},
doi = {https://doi.org/2018-IJNAM-12526},
url = {https://global-sci.com/article/83144/weak-solutions-constructed-by-semi-discretization-are-suitable-the-case-of-slip-boundary-conditions}
}