Lagrangian Structure for Compressible Flow in the Halfspace with the Navier Boundary Condition
Abstract
We show the uniqueness of particle paths of a velocity field, which solves the compressible isentropic NavierStokes equations in the halfspace $\mathbb{R}_+^3$ 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2018
 arXiv:
 arXiv:1805.00052
 Bibcode:
 2018arXiv180500052S
 Keywords:

 Mathematics  Analysis of PDEs