We study the line bundle mean curvature flow on Kähler surfaces under hypercritical phase and a certain semipositivity condition. naturally encounter such condition when considering blowup of surfaces. show that converges smoothly to singular solution deformed Hermitian–Yang–Mills equation away from finite number curves negative self-intersection surface. As an application, we obtain lower boun...

A mean-field crossover generated by the Maxwell construction is defined as dividing interface for vapor–liquid area. new density-profile equation thus derived turns out to be highly accurate not only in reproducing simulation data but also predicting pressure differences. By using density gradient theory incorporated with equations of state, we explore area intrinsic free energy and isobaric he...

In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of line, set identities and inequalities among correlation functions, allow us to prove replica symmetry i.e. concentration order parameter. When interaction structure is elliptic rigorously compute exact solution in terms finite dimensional variational principle its properties.

The simplest water diversion method in irrigation systems is using intakes. Measuring the mean velocity is one of the essential hydraulic parameters in increasing the efficiency of the intake. In this study, the mean velocity was predicted for different width ratios of an intake using ANN-MLP neural network model. In order to do that, the flow field within a 90-degree intake was first simulated...