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

Santos, Marcelo M.Teixeira, Edson J.2021-12-032021-12-032019-09-18Santos, 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. 1-26.1072-6691https://hdl.handle.net/10877/14998We show the uniqueness of particle paths of a velocity field, which solves the compressible isentropic Navier-Stokes equations in the half-space ℝ3+ 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.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalNavier-Stokes equationsLagrangian structureNavier boundary conditionLagrangian structure for compressible flow in the half-space with Navier boundary conditionArticle