Abstract This article deals with kinetic Fokker–Planck equations essentially bounded coefficients. A weak Harnack inequality for nonnegative super-solutions is derived by considering their log-transform and adapting an argument due to S. N. Kružkov (1963). Such a result rests on new Poincaré sharing similarities the one introduced W. Wang L. Zhang in series of works about ultraparabolic (2009, ...

This paper extends the scenario of the Four Color Theorem in the following way. LetHd,k be the set of all k-uniform hypergraphs that can be (linearly) embedded into Rd . We investigate lower and upper bounds on the maximum (weak and strong) chromatic number of hypergraphs in Hd,k. For example, we can prove that for d ≥ 3 there are hypergraphs inH2d−3,d on n vertices whose weak chromatic number ...

Caswell (1976) proposed a neutral model which calculates a theoretical diversity for a sample of a given number of individuals and species assuming no biological interactions between species. Disagreement with the neutral model predictions have been suggested as a method of detecting disturbance or stress. To test these theoretical considerations, 98 samples of marine benthic organisms were sub...

fracture system in carbonate reservoirs is very complex. understanding the features of fractures such as dip, strike and the other parameters can help to distinguish the behaviour of reservoir in any exploration and production plan. image log is the best way to investigate feature planes like fracture and bedding. image log in one of drilled well #10x393 of bangestan reservoir in gachsaran oilf...

This paper builds a general equilibrium model with working capital and currency substitution and uses this model to assess welfare gains from disin‡ation. It is found that welfare gains from disin‡ation are higher when the baseline in‡ation rate and the elasticity of substitution between foreign currency and domestic deposits are higher. Indeed the gains from disin‡ation can be quite large comp...

Weak coloring numbers generalize the notion of degeneracy a graph. They were introduced by Kierstead & Yang in context games on graphs. Recently, several connections have been uncovered between weak and various parameters studied graph minor theory its generalizations. In this note, we show that for every fixed $k\geq1$, maximum $r$-th number with simple treewidth $k$ is $\Theta(r^{k-1}\log...

In this research, the protonation constant value of tannic acid was determined at 25 °C and different ionic strengths (0.1 to 0.7 mol/dm3 NaCl) using potentiometric titration technique. The dependence of protonation constant on ionic strength was modeled and discussed by a Debye-Hückel type equation. Then, based on the obtained data from experiments, the minimizing Sum o...