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}
}
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. 
Lagrangian structure for two dimensional non-barotropic compressible fluids
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