Abstract In this paper we give local curvature estimates for the Laplacian flow on closed $$G_{2}$$ G 2 -structures under condition that Ricci is bounded along flow. The main ingredient consists of idea Kotschwar et al. (J Funct Anal 271(9):2604–2630, 2016) who gave com...

The integral fractional Laplacian of order $s \in (0,1)$ is a nonlocal operator. It known that solutions to the Dirichlet problem involving such an operator exhibit algebraic boundary singularity regardless domain regularity. This, in turn, deteriorates global regularity and as result convergence rate numerical solutions. For finite element discretizations, we derive local error estimates $H^s$...

    In this research in order to frequency analysis of maximum daily rainfall in various climates of Iran the data of 40 synoptic rain gauges collected in 40 years period i.e., 1973 to 2012 were used. These stations are located in various climates of Iran according to De Martonne climatic classification. At first, input of data to HYFA package was performed. The mentioned package includes seven...

A truly Meshless Local Petrov-Galerkin (MLPG) method is developed for solving 3D elasto-static problems. Using the general MLPG concept, this method is derived through the local weak forms of the equilibrium equations, by using a test function, namely, the Heaviside step function. The Moving Least Squares (MLS) are chosen to construct the shape functions. The penalty approach is used to impose ...

extended abstractintroductionin recent years, several studies around the world have shown that land use has a strong impact on water quality, and significant correlations exist between water quality parameters and land use types. generally land use types have adverse impacts on water quality, so positive relationships exist between percentages of these land use types and concentrations of water ...