Borderline spaces of Besov type consist of tempered distributions satisfying the property that the partial sums of their B ∞,1-norm diverge in a controlled way. We prove an existence and uniqueness result for the three-dimensional axisymmetric Euler equations without swirl when initial vorticity belongs to these spaces. We also prove that for this class of solutions the vanishing viscosity limi...

The telecommunications-centric business model of mobile operators is under attack due to technological convergence in the communication and content industries. This has resulted in a plethora of academic contributions on the design of new business models and service platform architectures. However, a discussion of the challenges that operators are facing in adopting these models is lacking. We ...

In the present paper, solvability of stochastic Helmholtz problem is investigated in class differential equations equivalent distribution. Earlier, by additional variables method was almost surely (a.s.). The study distribution allows us to significantly expand region its solvability. This due possibility using well-known methods theory processes, such as phase space transformation, absolutely ...

in methods presented to calculate the voltage collapse point, the transmission system is usually the only part of the power system that is completely modeled. distribution systems are often replaced by aggregate load models because the use of the detailed model of distribution systems in voltage stability analysis not only increases the computation time, but also decreases the probability of co...