On compressible Navier-Stokes equations with density dependent viscosities in bounded domains
From MaRDI portal
Publication:871051
DOI10.1016/j.matpur.2006.10.010zbMath1121.35093OpenAlexW2127065883MaRDI QIDQ871051
Benoît Desjardins, David Gérard-Varet, Bresch, Didier
Publication date: 15 March 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2006.10.010
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary, Viscosity effect on the degenerate lake equations, Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution, On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas, Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system, On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids, Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum, Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems, Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity, Global existence of weak solutions to the drift-flux system for general pressure laws, Global strong solutions to radial symmetric compressible Navier–Stokes equations bounded by a free surface, On the blow‐up phenomena of the compressible Navier‐Stokes‐Korteweg system with degenerate viscosity, Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity, Free boundary problem for the equations of spherically symmetric motion of compressible gas with density-dependent viscosity, Classical solutions to one-dimensional stationary quantum Navier-Stokes equations, The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow, Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid, Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations, Global existence of weak solution for the compressible Navier-Stokes-Poisson system for gaseous stars, Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities, Mixtures: sequential stability of variational entropy solutions, Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations, On one-dimensional compressible Navier-Stokes equations with degenerate viscosity and constant state at far fields, Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\), Remarks on classical solutions to steady quantum Navier-Stokes equations, Dynamical behaviors for 1D compressible Navier-Stokes equations with density-dependent viscosity, A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations, Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum, On global motions of a compressible barotropic and self-gravitating gas with density-dependent viscosities, A discontinuous Galerkin method for viscous compressible multifluids, Global weak solutions to a generic two-fluid model, A note on barotropic compressible quantum Navier-Stokes equations, HIGHER ORDER ENTROPIES FOR COMPRESSIBLE FLUID MODELS, Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations, EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR A COMPRESSIBLE MULTIPHASE NAVIER–STOKES MISCIBLE FLUID-FLOW PROBLEM IN DIMENSION n = 1, AN ENERGETICALLY CONSISTENT VISCOUS SEDIMENTATION MODEL, Weak solutions to the equations of motion for compressible magnetic fluids, A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients, Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities, Formal derivation and existence of global weak solutions of a two-dimensional bilayer model coupling shallow water and Reynolds lubrication equations, Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity, On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities, A deterministic model for the propagation of turbulent oscillations, On the existence of global weak solutions of a 2D sediment transport model, Global classical solution to the 3D isentropic compressible Navier-Stokes equations with general initial data and a density-dependent viscosity coefficient, Nonlinear Stability of Large Amplitude Viscous Shock Waves to the One-dimensional System of Viscoelasticity, On the resolvability of the dynamics of one fluid flow via a testing fluid in a two-fluids flow model, Global existence of weak solution for the compressible Navier-Stokes-Poisson system with density-dependent viscosity, Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient, Global solutions of the compressible Euler equations with large initial data of spherical symmetry and positive far-field density, The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some diffusive capillary models of Korteweg type
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- Stability of global weak solutions for the Navier-Stokes equations modelling compressible and heat-conducting fluids
- On the Barotropic Compressible Navier–Stokes Equations
- Wall laws for fluid flows at a boundary with random roughness
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
- On the existence of globally defined weak solutions to the Navier-Stokes equations
