In this paper we present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales. The higher level porosity associated with the mesoscopic structure is constituted by channels in a matrix made of a microporous material cons...

Croatian is poorly resourced and highly inflected language from Slavic language family. Nowadays, research is focusing mostly on English. We created a new word analogy dataset based on the original English Word2vec word analogy dataset and added some of the specific linguistic aspects&#...

We investigate strong and weak versions of maximum and comparison principles for a class of quasilinear parabolic equations with the p-Laplacian ∂tu−Δpu=λ|u|p−2u+f(x,t) under zero boundary and nonnegative initial conditions on a bounded cylindrical domain Ω×(0,T), λ∈R, and f∈L∞(Ω×(0,T)). Several relat...

We build a family of entire solutions to the Allen–Cahn equation in RN+1 for N≥3, whose zero level set approaches the higher-dimensional catenoid in a compact region and has two logarithmic ends governed by the solutions to the Liouville equation.

Using the variational structure of the second order periodic problems we find an optimal impulsive control which forces the conservative system into a periodic motion. In particular, our main results concern the system of charged planar pendulums with external disturbances and neglected ...