Lagrangian Structure for Compressible Flow in the Half-space with the Navier Boundary Condition
Analysis of PDEs
2018-05-02 v1
Abstract
We show the uniqueness of particle paths of a velocity field, which solves the compressible isentropic Navier-Stokes equations in the half-space with the Navier boundary condition. In particular, by means of energy estimates and the assumption of small energy we prove that the velocity field satisfies the necessary regularity needed to prove the uniqueness of particle paths.
Keywords
Cite
@article{arxiv.1805.00052,
title = {Lagrangian Structure for Compressible Flow in the Half-space with the Navier Boundary Condition},
author = {Marcelo M. Santos and Edson J. Teixeira},
journal= {arXiv preprint arXiv:1805.00052},
year = {2018}
}