Miguel Loayza
Federal University of Pernambuco
23 Papers
57 Citations
Miguel Loayza is an academic researcher from Federal University of Pernambuco. The author has contributed to research in topics: Bounded function & Domain (mathematical analysis). The author has an hindex of 6, co-authored 14 publications.
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Papers
On the critical exponent for some semilinear reaction–diffusion systems on general domains
Ricardo Castillo,Miguel Loayza +1 more
TL;DR: In this paper, the authors considered the parabolic systems with homogeneous Dirichlet boundary conditions and gave conditions that guarantee the global existence (or the blow-up in finite time) of nonnegative solutions.
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A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations
Miguel Loayza,M. A. Rojas-Medar +1 more
TL;DR: In this paper, the authors investigated regularity criteria for weak solutions of micropolar fluid equations in a bounded three-dimensional domain, and showed that the solution (u, w) is strong on [0, T] if either u ∈ Ls( 0, T; Lr, ∞(Ω)) or ‖u ǫ ls,∞(0,T;Lr ∞ (Ω)), is bounded from above by a specific constant.
19
Life span of solutions of a weakly coupled parabolic system
Flávio Dickstein,Miguel Loayza +1 more
TL;DR: In this paper, the Cauchy problem for weakly coupled parabolic systems was considered and the blowup of w λ for λ small was studied. But the results were restricted to the case where the system is sub-critical and either φ1 or φ2 has slow decay at ∞.
15
The heat equation with singular nonlinearity and singular initial data
TL;DR: In this paper, the existence, uniqueness and regularity of positive solutions of the parabolic equation u t − Δ u = a (x ) u q + b ( x ) u p in a bounded domain and with Dirichlet's condition on the boundary were studied.
13
A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling
Miguel Loayza,I.G. Quinteiro +1 more
TL;DR: In this article, the Fujita critical exponent for the nonlocal coupled parabolic system was obtained for a bounded domain with smooth boundary and the initial data u ( 0, T ) × Ω.
9