‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

This encyclopedia article briefly reviews without proofs some of the main results in Poisson reduction. The article recalls most the necessary prerequisites to understand the main results. The Poisson reduction techniques allow the construction of new Poisson structures out of a given one by combination of two operations: restriction to submanifolds that satisfy certain compatibility assumption...

We prove that for the iterated Poisson polynomial rings known as nilpotent algebras (or Poisson-CGL extensions), prime spectrum is catenary, i.e., all saturated chains of inclusions ideals between any two given have same length.

The Poisson distribution is widely used to fit count data such as the number of nonconformities in a product unit. However, this distribution fails to fit the defect data in a high-quality manufacturing environment when over-dispersion occurs. In this paper, the generalized Poisson distribution is studied as an alternative distribution. The generalized Poisson distribution is flexible and capab...

for two algebras $a$ and $b$, a linear map $t:a longrightarrow b$ is called separating, if $xcdot y=0$ implies $txcdot ty=0$ for all $x,yin a$. the general form and the automatic continuity of separating maps between various banach algebras have been studied extensively. in this paper, we first extend the notion of separating map for module case and then we give a description of a linear separa...

It is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures on K (K = R or C) and recall a result given by Arnold. Then we will compute locally the Poisson cohomology of a particular type of Poisson structure.

Let $mathcal{A}$ be a Banach algebra and $X$ be a Banach $mathcal{A}-$bimodule. We study the notion of approximate $n-$ideal amenability for module extension Banach algebras $mathcal{A}oplus X$. First, we describe the structure of ideals of this kind of algebras and we present the necessary and sufficient conditions for a module extension Banach algebra to be approximately n-ideally amenable.

It is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures on K (K = R or C) and rediscover a result given by Arnold. Then we will compute the Poisson cohomology of these normal forms.