BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS

DOI10.1017/S144678871000008XzbMath1191.35210OpenAlexW2160551962MaRDI QIDQ3560284

Zhong Tan, Yanjin Wang

Publication date: 19 May 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678871000008x

zbMATH Keywords

Navier-Stokes equationsblow-uplife spancompressibleheat-conducting fluids

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44)

Related Items (5)

Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Blow-up for the compressible isentropic Navier-Stokes-Poisson equations ⋮ Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball ⋮ Strong solutions to the incompressible magnetohydrodynamic equations

Cites Work

• Formation of singularities in three-dimensional compressible fluids
• Blow-up of viscous heat-conducting compressible flows
• Weakly Differentiable Functions
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density

This page was built for publication: BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS