The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density

DOI10.1016/j.nonrwa.2014.08.001zbMath1308.35234OpenAlexW2023506296MaRDI QIDQ475001

Zhong Tan, Xu Zhang

Publication date: 25 November 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.08.001

zbMATH Keywords

energy methodoptimal decay ratesSobolev interpolationheat conductinginhomogeneous incompressible fluids

Mathematics Subject Classification ID

Related Items (5)

Global well-posedness to the Cauchy problem of two-dimensional nonhomogeneous heat conducting Navier-Stokes equations ⋮ On the blow‐up phenomena of the compressible Navier‐Stokes‐Korteweg system with degenerate viscosity ⋮ Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes equations with vacuum and large oscillations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
• The Navier-Stokes initial value problem in \(L^ p\).
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Unique solvability for the density-dependent Navier-Stokes equations
• Incompressible flows with piecewise constant density
• On the Navier-Stokes initial value problem. I
• Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
• A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
• EXISTENCE RESULT FOR HEAT-CONDUCTING VISCOUS INCOMPRESSIBLE FLUIDS WITH VACUUM
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids

This page was built for publication: The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density