Three novel highly porous aluminophosphates were synthesized through mild hydrothermal methods. Interestingly, among them, α-NaAlPO4(OH) is polar and exhibits moderate nonlinear optical properties with a short cutoff edge.
Two novel alkali metal aluminophosphates, namely, Li3[Al(PO4)2(H2O)1.5] and Na[AlP2O7], have been synthesized through low temperature flux methods. They crystallized in, P4 and C2/c space groups, respectively. Both structures of Li3[Al(PO4)2(H2O)1.5]...
This paper is concerned with the traveling wave solutions of a competitive integrodifference system with Lotka-Volterra type nonlinearity. The existence of traveling wave solutions is proved by constructing generalized upper and lower solutions. The asymptotic behavior of traveling wave solutions is established by combining the theory of asymptotic spreading with the idea of contracting rectangles. The nonexistence of monotone traveling wave solutions is also confirmed by the theory of asymptotic spreading.
We investigate the saturation rank of a finite group scheme, defined over an algebraically closed field k of positive characteristic p. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group SLn.2010 Mathematics Subject Classification. 17B45.
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