Lagrangian structure for compressible flow in the half-space with Navier boundary condition

Date

2019-09-18

Authors

Santos, Marcelo M.
Teixeira, Edson J.

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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.

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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. <i>Electronic Journal of Differential Equations, 2019</i>(106), pp. 1-26.

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Attribution 4.0 International

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