Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows

From MaRDI portal
Publication:376572

DOI10.1007/s00220-013-1791-1zbMath1280.35093arXiv1210.5930OpenAlexW3122146039MaRDI QIDQ376572

Xiangdi Huang, Jing Li

Publication date: 5 November 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5930



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (85)

Classical solution to 1D viscous polytropic perfect fluids with constant diffusion coefficients and vacuumGlobal strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinityA regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equationsOn local strong solutions to the Cauchy problem of the two-dimensional full compressible magnetohydrodynamic equations with vacuum and zero heat conductionBlow-up criterion for two-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flowsWell-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuumThe sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic fieldLcontinuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivityOn global strong solutions to the 3D MHD flows with density-temperature-dependent viscositiesGlobal well-posedness for 2D non-resistive compressible MHD system in periodic domainOn continuation criteria for the full compressible Navier-Stokes equations in Lorentz spacesA blowup criterion for viscous, compressible, and heat-conductive magnetohydrodynamic flowsGlobal well-posedness for the full compressible Navier-Stokes equationsA Beale-Kato-Majda criterion for three dimensional compressible viscous non-isentropic magnetohydrodynamic flows without heat-conductivityOn global solutions to the 3D viscous, compressible, and heat-conducting magnetohydrodynamic flowsMass concentration phenomenon to the two-dimensional Cauchy problem of the compressible magnetohydrodynamic equationsA regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivityGlobal strong solutions to the 3D compressible non-isentropic MHD equations with zero resistivityA regularity criterion for the \(3D\) full compressible Navier-Stokes-Maxwell system in a bounded domainGlobal small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantityGlobal strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial dataBlow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuumLong-time behavior for three dimensional compressible viscousand heat-conductive gasesLocal well-posedness for a compressible full MHD-\(P1\) approximate model arising in radiation MHDThe Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat ConductivityLarge global solutions of the compressible Navier-Stokes equations in three dimensionsStability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2Global Solutions to 3D Incompressible MHD System with Dissipation in Only One DirectionSingularity formation to the 2D Cauchy problem of nonbarotropic magnetohydrodynamic equations without heat conductivityFormation of singularity for full compressible magnetohydrodynamic equations with zero resistivity in two dimensional bounded domainsBlow up criteria for the 2D compressible Navier-Stokes equations in bounded domains with vacuumUnnamed ItemGlobal strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domainError estimates of a finite volume method for the compressible Navier–Stokes–Fourier systemCalderón–Zygmund theory in Lorentz mixed‐norm spaces and its application to compressible fluidsA regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flowsGlobal strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domainsConditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditionsThe sharp time-decay rates for one-dimensional compressible isentropic Navier-Stokes and magnetohydrodynamic flowsA new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equationsHall effect on the asymptotic stability of the planar compressible MHD flowsExistence and exponential growth of global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domainsSingularity formation of the non-barotropic compressible magnetohydrodynamic equations without heat conductivitySerrin-type blowup criterion for full compressible Navier-Stokes-Maxwell system with vacuumUniform global solutions of the 3D compressible MHD system in a bounded domainEntropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinityOn classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum statesGlobal well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial dataA continuation principle to the Cauchy problem of two-dimensional compressible Navier-Stokes equations with variable viscosityGlobal strong solution to the two dimensional nonhomogeneous incompressible heat conducting Navier-Stokes flows with vacuumRegularity criteria for the three-dimensional magnetohydrodynamic equationsGlobal well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuumSingularity formation of the compressible non-barotropic flows with zero heat conductivityRegularity and uniqueness for the compressible full Navier-Stokes equationsBlow-up of smooth solutions to the compressible magnetohydrodynamic flowsGlobal solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibriumA regularity criterion for compressible nematic liquid crystal flowsWeak Serrin-type blowup criterion for three-dimensional nonhomogeneous viscous incompressible heat conducting flowsGlobal stability of large solutions of the 3-D compressible magnetohydrodynamic equationsWeak Serrin‐type criterion for the three‐dimensional viscous compressible Navier–Stokes systemDecay of strong solution for the compressible Navier-Stokes equations with large initial dataBlowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensionsGlobal small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusionMass concentration phenomenon to the 2D Cauchy problem of the compressible Navier-Stokes equationsStrong solutions to 3D compressible magnetohydrodynamic equations with Navier‐slip conditionA regularity criterion for the 2D full compressible MHD equations with zero heat conductivityGlobal well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuumOn formation of singularity for full compressible Navier-Stokes system with zero heat conductionThe local existence and blowup criterion for strong solutions to the kinetic Cucker-Smale model coupled with the compressible Navier-Stokes equationsSingularity formation to the two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction in a bounded domainGlobal regularity for the Cauchy problem of three-dimensional compressible magnetohydrodynamics equationsBlow-up criterion for the compressible magnetohydrodynamic equations with vacuumGlobal well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domainsOn formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conductionGlobal well-posedness of the full compressible Hall-MHD equationsRefined blow-up criteria for the full compressible Navier-Stokes equations involving temperatureAnalytical solution to 1D compressible Navier-Stokes equationsBlow up criterion for the 2D full compressible Navier–Stokes equations involving temperature in critical spacesLocal well-posedness for the isentropic compressible MHD system with vacuumLocal well-posedness for the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinityOn formation of singularity of spherically symmetric nonbarotropic flowsOn the ideal compressible magnetohydrodynamic equationsA blow-up criterion to the 2D full compressible magnetohydrodynamic equationsUniform regularity for the nonisentropic MHD systemOn formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity



Cites Work


This page was built for publication: Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows