Serrin-type blowup criterion for full compressible Navier-Stokes system
From MaRDI portal
Publication:1944713
DOI10.1007/s00205-012-0577-5zbMath1260.35114OpenAlexW2032024523MaRDI QIDQ1944713
Xiangdi Huang, Jing Li, Yong Wang
Publication date: 27 March 2013
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-012-0577-5
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)
Related Items (44)
Blowup criteria for full compressible Navier-Stokes equations with vacuum state ⋮ Classical solution to 1D viscous polytropic perfect fluids with constant diffusion coefficients and vacuum ⋮ Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large data ⋮ A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations ⋮ Blow-up criterion for two-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows ⋮ Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum ⋮ Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier-Stokes equations ⋮ On continuation criteria for the full compressible Navier-Stokes equations in Lorentz spaces ⋮ A blowup criterion for viscous, compressible, and heat-conductive magnetohydrodynamic flows ⋮ Global well-posedness for the full compressible Navier-Stokes equations ⋮ A Beale-Kato-Majda criterion for three dimensional compressible viscous non-isentropic magnetohydrodynamic flows without heat-conductivity ⋮ Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows ⋮ Long-time behavior for three dimensional compressible viscousand heat-conductive gases ⋮ The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity ⋮ Large global solutions of the compressible Navier-Stokes equations in three dimensions ⋮ Global existence of strong solutions and Serrin-type blowup criterion for 3D combustion model in bounded domains ⋮ Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain ⋮ Global existence and large time behavior for the 2-D compressible Navier-Stokes equations without heat conductivity ⋮ On one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains ⋮ Blowup criteria for strong solutions to the compressible Navier-Stokes equations with variable viscosity ⋮ Calderón–Zygmund theory in Lorentz mixed‐norm spaces and its application to compressible fluids ⋮ A regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flows ⋮ Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum ⋮ Global strong solution to the two dimensional nonhomogeneous incompressible heat conducting Navier-Stokes flows with vacuum ⋮ Regularity and uniqueness for the compressible full Navier-Stokes equations ⋮ Weak Serrin-type blowup criterion for three-dimensional nonhomogeneous viscous incompressible heat conducting flows ⋮ Weak Serrin‐type criterion for the three‐dimensional viscous compressible Navier–Stokes system ⋮ Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions ⋮ A blowup criterion for the 2D \(k\)-\(\epsilon\) model equations for turbulent flows ⋮ Mass concentration phenomenon to the 2D Cauchy problem of the compressible Navier-Stokes equations ⋮ On formation of singularity for full compressible Navier-Stokes system with zero heat conduction ⋮ The local existence and blowup criterion for strong solutions to the kinetic Cucker-Smale model coupled with the compressible Navier-Stokes equations ⋮ One new blowup criterion for the 2D full compressible Navier-Stokes system ⋮ Global regularity for the Cauchy problem of three-dimensional compressible magnetohydrodynamics equations ⋮ On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction ⋮ Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature ⋮ Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations ⋮ Global strong solution to the two-dimensional full compressible Navier-Stokes equations with large viscosity ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes equations with vacuum and large oscillations ⋮ Blow up criterion for the 2D full compressible Navier–Stokes equations involving temperature in critical spaces ⋮ Global strong solutions to the two-dimensional full compressible Navier-Stokes equations with vacuum ⋮ A blowup criterion for the compressible nematic liquid crystal flows in dimension two ⋮ Blow-up Criteria for the 2D Full Compressible MHD system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On breakdown of solutions to the full compressible Navier-Stokes equations
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Blowup criterion for viscous baratropic flows with vacuum states
- A Beale-Kato-Majda criterion for three-dimensional compressible viscous heat-conductive flows
- On the uniqueness of compressible fluid motions
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Existence results for viscous polytropic fluids with vacuum
- Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
- A blow-up criterion for classical solutions to the compressible Navier-Stokes equations
- Cauchy problem for viscous gas equations
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Le problème de Cauchy pour les équations différentielles d'un fluide général
- A blow-up criterion for compressible viscous heat-conductive flows
- On the existence of globally defined weak solutions to the Navier-Stokes equations
This page was built for publication: Serrin-type blowup criterion for full compressible Navier-Stokes system