On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows
From MaRDI portal
Publication:4431123
DOI10.1512/iumj.2002.51.2061zbMath1039.35085OpenAlexW2016980207MaRDI QIDQ4431123
Jens Lorenz, Thomas M. Hagstrom
Publication date: 13 October 2003
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2002.51.2061
existenceNavier-Stokes equationsapproximate solutionhyperbolic-parabolic systemsheat conducting fluid
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations, Low Mach number limit for the compressible Navier-Stokes equations with density-dependent viscosity and vorticity-slip boundary condition, Incompressible limit and stability of all-time solutions to 3-D full Navier-Stokes equations for perfect gases, The mathematical theory of low Mach number flows, Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary, Low Mach number limit of viscous polytropic fluid flows, Low Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domain, Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data, Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification, The Incompressible Limits of Viscous Polytropic Fluids with Zero Thermal Conductivity Coefficient, The low Mach number limit for the full Navier-Stokes-Fourier system, Incompressible limit of all-time solutions to 3-D full Navier-Stokes equations for perfect gas with well-prepared initial condition, Automatic Symmetrization and Energy Estimates Using Local Operators for Partial Differential Equations, Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains, Mathematical models of incompressible fluids as singular limits of complete fluid systems, Anelastic Approximation as a Singular Limit of the Compressible Navier–Stokes System, Energy decay of vortices in viscous fluids: an applied mathematics view, Existence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces, Robustness of strong solutions to the compressible Navier-Stokes system
