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Even in countries with formalised or long established BS, there is often no established regularity in the timing of BS in the different populations, possibly indicating instability of the system.
Qin [9] established the regularity and asymptotic behavior of global solutions with more general growth assumptions on p, e, κ than those in [7, 8].
In this paper, we have established the regularity of global solutions for the spherically symmetric compressible fluid with density-dependent viscosity in (H_{2}) and (H_{4}).
Jost-Meier [11] established full regularity in a neighborhood of boundary for minima of functionals with the form ∫ Ω A ( x, u ) | D u | 2 d x.
Furthermore, we establish another regularity criterion to the 2D Bénard system with vertical dissipation and horizontal thermal diffusivity.
In this paper we establish the regularity of global solutions to the compressible Navier-Stokes equations with cylinder symmetry in (R^{3}).
Furthermore, we establish some regularity criteria for the corresponding system.
Then the goal is to establish partial regularity theory.
Secondly, we establish some regularity criteria for the corresponding system.
The goal, then, is to establish partial regularity theory.
Jiu, Miao, Wu and Zhang [1, 31] established the global regularity to the 2D incompressible Boussinesq equations with general critical dissipation.
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