When a strictly dissipative term arises in the energy equation, Cauchy problem for Euler–Poisson systems admits global smooth solutions small initial data. This was proved previous studies. In this paper, we study stability full system without dissipation equation. We prove existence of near constant equilibrium states one space dimension. The results are obtained both one-fluid and two-fluid s...

[1] We present a general formulation of the basic equations of large-scale magnetosphereionosphere coupling in terms of Euler potentials and describe a specific numerical implementation of this formulation in the context of the Rice Convection Model (RCM). When written in terms of Euler potentials, both the Vasyliunas magnetosphere-ionosphere coupling equation and the expression for bounce-aver...

Abstract. The dynamic stability problem is solved for onedimensional structures subjected to time-dependent deterministic or stochastic axial forces. The stability analysis of structures under time-dependent forces strongly depends on dissipation energy. The simplest model of viscous damping with constant coefficient was commonly assumed in previous papers despite the fact that there are other ...

A method based on the power series solution is proposed to solve the natural frequency of flapping vibration for the rotating inclined Euler beam with constant angular velocity. The vibration of the rotating beam is measured from the position of the corresponding steady state axial deformation. In this paper the governing equations for linear vibration of a rotating Euler beam are derived by th...

Real-time systems are frequently used as an experimental tool, whereby simulated models interact in real time with neurophysiological experiments. The most demanding of these techniques is known as the dynamic clamp, where simulated ion channel conductances are artificially injected into a neuron via intracellular electrodes for measurement and stimulation. Methodologies for implementing the nu...

This paper concerns the quasi-neutral limit to Cauchy problem for a two-fluid Euler–Poisson system in several space dimensions. When initial data are sufficiently close constant equilibrium states, we prove global existence of smooth solutions with uniform bounds respect Debye length Sobolev spaces. allows us pass all times obtain compressible Euler system. We also error estimates between solut...

In this paper the author studies the singular limit c → ∞ of the family of EulerNordström systems indexed by the parameters κ and c (ENκ), where κ 2 > 0 is the cosmological constant and c is the speed of light. Using Christodoulou’s techniques to generate energy currents, the author develops Sobolev estimates that show that for initial data belonging to an appropriate Sobolev space, as c tends ...

This paper presents a numerical scheme that avoids iterations to solve the nonlinear partial differential equation system for pricing American puts with constant dividend yields. Upon applying a frontfixing technique to the Black-Scholes partial differential equation, a predictor-corrector finite difference scheme is proposed to numerically solve the discrete nonlinear scheme. In the comparison...

Abstract. The very weak formulation of the porous medium/fast diffusion equation yields an evolution problem in a Gelfand triple with the pivot space H. This allows to employ methods of the theory of monotone operators in order to study fully discrete approximations combining a Galerkin method (including conforming finite element methods) with the backward Euler scheme. Convergence is shown eve...