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In this paper, we consider an initial-boundary value problem for the equations of a fluid spherical model of neutron star considered by Lattimer et al. We establish the global existence and regularity of the spherically symmetric solutions in H i ( i = 1 , 2 , 4 ) of this fluid model. These results improve and generalize the results of Ducomet and Necasova (Ann. Univ...
Based on the notation of time-dependent attractors, we prove the existence and the regularity of time-dependent global attractors for a class of nonclassical reaction-diffusion equations when the forcing term g ( x ) ∈ H − 1 ( Ω ) $g(x)\in H^{-1}(\Omega)$ and the nonlinear function satisfies the critical exponent growth, which is weaker than the conditions used in (Jing and Liu in Appl...
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