Because of different behavior of reservoir water and dam material, the determination of hydrodynamic pressure during earthquake is very complicated. Thus, different formulations have been presented for modeling of the dam reservoir system under dynamic loading such as earthquake. These formulations can be categorized into two general groups, which are Lagrangian and Eulerian, each having advant...

Using the recently developed groupoidal description of Schwinger’s picture Quantum Mechanics, a new approach to Dirac’s fundamental question on role Lagrangian in Mechanics is provided. It shown that function [Formula: see text] groupoid configurations (or kinematical groupoid) quantum system determines state von Neumann algebra histories system. This function, which we call q-Lagrangian, can b...

This paper presents an optimal power flow method based on the generation rescheduling priority to enhance transient stability in power systems. In order to determine the generation rescheduling priority the energy margin sensitivity indices are calculated. The candidate generators for generation rescheduling are determined by the energy margin sensitivity indices and then optimal power flow (OP...

inventory control problem is one of the problems in decision making and management that contains non-crisp parameters in real world. economic production quantity (epq) model in fuzzy environment has been studied so far by many researchers. one of the main assumptions in all previous researches was neglecting the inventory shortage. in this research, a new multi-item epq model with fuzzy random ...

By adding a proper term to the Lagrangian density of a real non-linear KG system with a proposed non-topological unstable solitary wave solution, its stability guaranteed appreciably. This additional term in the new modified Lagrangian density behaves like a strong internal force which stands against any arbitrary small deformation in the proposed non-topological solitary wave solution.

In this paper, we give necessary and suucient optimality conditions which are easy veriied for the local solution of Celis-Dennis-Tapia sub-problem (CDT subproblem) where the Hessian at this local solution has one negative eigenvalue. If CDT subproblem has no global solution with Hessian of Lagrangian positive semi-deenite, the Hessian of Lagrangian has at least one negative eigenvalue. It is v...

This motivates the following definition. Definition 1.2. A conserved quantity in a Hamiltonian system is a smooth function f ∈ C∞(M) such that {f,H} = 0. Remark 1.3. If you’re familiar with the Lagrangian model of classical mechanics, you can derive the above setup from a Lagrangian field theory on the real line R, i.e. from classical Lagrangian mechanics. There’s a classical procedure for doin...

We perform a systematic multiscale analysis for the 2-D incompressible Euler equation with rapidly oscillating initial data using a Lagrangian approach. The Lagrangian formulation enables us to capture the propagation of the multiscale solution in a natural way. By making an appropriate multiscale expansion in the vorticity-stream function formulation, we derive a well-posed homogenized equatio...