We study the so-called two-phase obstacle-type problem for the p-Laplacian when p is close to 2. We introduce a new method to obtain the optimal growth of the function from branch points, i.e. two-phase points in the free boundary where the gradient vanishes. As a by-product we can locally estimate the (n − 1)-Hausdorff-measure of the free boundary for the special case when p > 2.

We present a simple and automatic method for determining the uncertainty in the retrieved intensity and phase versus time (and frequency) due to noise in a frequency-resolved optical-gating trace, independent of noise source. It uses the ‘‘bootstrap’’ statistical method and also yields an automated method for phase blanking (omitting the phase when the intensity is too low to determine it). © 2...

Article history: Received 17 February 2011 Accepted 26 July 2011 Available online 29 August 2011

In recent years there has been a growing interest in using stochastic time-dependent (STD) networks as a modelling tool for a number of applications within such areas as transportation and telecommunications. It is known that an optimal routing policy does not necessarily correspond to a path, but rather to a time-adaptive strategy. In some applications, however, it makes good sense to require ...

To introduce the advance in the researches on boiling and two-phase ‰ow in reduced gravity ˆelds and the change in the situation surrounding them in Japan, a short review is focused on the individual research subjects, i.e., pool boiling, ‰ow boiling, and unheated two-phase ‰ow including their major topics. Representative results obtained so far are introduced. Future direction of researches on...

We study voting games on possibly interconnected issues, where voters might hold a principled opinion about a subset of the issues at stake while willing to strike deals on the remaining ones, and can influence one another before casting their ballots in order to obtain an individually more favourable outcome. We analyse voters’ rational behaviour in a two-phase game, allowing players to underg...

According to the basic content of location advantage, from the market, transportation, competition environment and other factors, such as four aspects, analysis of location factors influencing express logistics node location. Put forward based on location factors evaluation and location advantages express logistics node location two-phase model of evaluation. An express logistics node location ...

Consider a system with n components (different types of molecules) with r phases in equilibrium. The state of each phase is defined by P, T and then (n− 1) concentration variables in each phase. The phase equilibrium at given P, T is defined by the equality of n chemical potentials between the r phases. Thus there are n(r − 1) constraints on (n− 1)r + 2 variables. This gives the Gibbs phase rul...

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