Corpus ID: 88504013

# Lagrangian Structure for Compressible Flow in the Half-space with the Navier Boundary Condition.

@article{Santos2018LagrangianSF,
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: Analysis of PDEs},
year={2018}
}
• Published 30 April 2018
• Mathematics
• arXiv: Analysis of PDEs
We show the uniqueness of particle paths of a velocity field, which solves the compressible isentropic Navier-Stokes equations in the half-space $\mathbb{R}_+^3$ 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.
1 Citations
Lagrangian structure for two dimensional non-barotropic compressible fluids
• Mathematics, Physics
• Journal of Mathematical Analysis and Applications
• 2019
We study the lagrangian structure for weak solutions of two dimensional Navier-Stokes equations for a non-barotropic compressible fluid, i.e. we show the uniqueness of particle trajectories for twoExpand

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