We develop the foundation of the complex symplectic geometry of Lagrangian subvarieties in a hyperkähler manifold. We establish a characterization, a Chern number inequality, topological and geometrical properties of Lagrangian submanifolds. We discuss a category of Lagrangian subvarieties and its relationship with the theory of Lagrangian intersection. We also introduce and study extensively a...

The purpose of this paper is to investigate the EGM method and the behavior of a solid particle suspended in a twodimensional rectangular cavity due to conjugate natural convection. A thermal lattice Boltzmann BGK model is implemented to simulate the two dimensional natural convection and the particle phase was modeled using the Lagrangian–Lagrangian approach where the solid particles are treat...

This paper proposes an explicit method for topology optimization of stiffened plate structures. The present work is devoted to simultaneously optimizing stiffeners’ shape, size and layout by seeking the optimal geometry parameters a series moving morphable components (MMC). stiffeners with straight skeletons curved are considered enhance modeling capability current approach. All represented und...

The glomerular filtration rate (GFR) is widely considered the best overall index of renal function. The Schwartz equations are designed for measuring the GFR in children between 1 and 16 years of age. In the present study, we investigated the percentiles of the GFR in a general population of Iranian children with no known renal disease via the 2009 Schwartz equations (updated and combined equat...

We also use soft methods from symplectic geometry (the relative version of the h–principle for Lagrangian immersions) and tools from algebraic topology to prove (both positive and negative) results about Lagrangian desingularizations of Lagrangian submanifolds with isolated singularities; we view the (Maslov-zero) Lagrangian desingularization problem as the natural soft analogue of the special ...

We consider deformations of singular Lagrangian varieties in symplectic spaces. We prove that a Lagrangian deformation of a Lagrangian complete intersection is analytically rigid provided that this is the case infinitesimally. This result solves a problem posed by Colin de Verdière concerning Lagrangian curves. Finally, we prove the coherence of the direct image sheaves of relative infinitesima...

This paper presents a beam model for geometrically nonlinear stability analysis of the composite beam-type structures. Each wall cross-section can be modeled with different material. The incremental procedure is based on an updated Lagrangian formulation where in each increment, equilibrium equations are derived from virtual work principle. accounts restrained warping and large rotation effects...

Abstract The theoretical calculation for pseudo-scalars hadronic decays $$K \rightarrow \pi a$$ K ? ? a is reviewed. While one-loop penguin contributions are usually considered, tree-level processes have most often been overlooked in li...