Lagrangian structure for compressible flow in the half-space with Navier boundary condition
Date
2019-09-18
Authors
Santos, Marcelo M.
Teixeira, Edson J.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We show the uniqueness of particle paths of a velocity field, which solves the compressible isentropic Navier-Stokes equations in the half-space ℝ<sup>3</sup><sub>+</sub> with the Navier boundary condition. More precisely, by energy estimates and the assumption of small energy we prove that the velocity field satisfies regularity estimates which imply the uniqueness of particle paths.
Description
Keywords
Navier-Stokes equations, Lagrangian structure, Navier boundary condition
Citation
Santos, M. M., & Teixeira, E. J. (2019). Lagrangian structure for compressible flow in the half-space with Navier boundary condition. Electronic Journal of Differential Equations, 2019(106), pp. 1-26.
Rights
Attribution 4.0 International