Pseudo-steady-state productivity formula for a partially penetrating vertical well in a box-shaped reservoir.
A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.
Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].
Dynamics of a modified Davey-Stewartson system in ℝ³
We study the Cauchy problem in ℝ³ for the modified Davey-Stewartson system , . Under certain conditions on λ₁ and λ₂, we provide a complete picture of the local and global well-posedness, scattering and blow-up of the solutions in the energy space. Methods used in the paper are based upon the perturbation theory from [Tao et al., Comm. Partial Differential Equations 32 (2007), 1281-1343] and the convexity method from [Glassey, J. Math. Phys. 18 (1977), 1794-1797].
Productivity formulas for a partially penetrating vertical well in a circular cylinder drainage volume.
Quasicontinuous spaces
We lift the notion of quasicontinuous posets to the topology context, called quasicontinuous spaces, and further study such spaces. The main results are: (1) A space is a quasicontinuous space if and only if is locally hypercompact if and only if is a hypercontinuous lattice; (2) a space is an -continuous space if and only if is a meet continuous and quasicontinuous space; (3) if a -space is a well-filtered poset under its specialization order, then is a quasicontinuous space...
Page 1