On the solvability of the compressible Navier–Stokes system in bounded domains

DOI10.1088/0951-7715/23/2/009zbMath1184.35238OpenAlexW2044123680MaRDI QIDQ3408268

Raphaël Danchin

Publication date: 25 February 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/2/009

zbMATH Keywords

Dirichlet boundary conditionsunique local solutionbarotropic Navier-Stokes system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ Critical regularity issues for the compressible Navier-Stokes system in bounded domains ⋮ Compressible Navier‐Stokes equations with ripped density ⋮ A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations ⋮ Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor ⋮ From compressible to incompressible inhomogeneous flows in the case of large data ⋮ A Lagrangian approach for the compressible Navier-Stokes equations ⋮ Robustness of one-dimensional viscous fluid motion under multidimensional perturbations ⋮ Dynamical stability of non-constant equilibria for the compressible Navier-Stokes equations in Eulerian coordinates ⋮ A well-posedness result for viscous compressible fluids with only bounded density

This page was built for publication: On the solvability of the compressible Navier–Stokes system in bounded domains