In this paper, we are concerned with the Cauchy problem on the compressible isentropic two-fluids Euler-Maxwell equations in three dimensions. The global existence of solutions near constant steady states with the vanishing electromagnetic field is established, and also the time-decay rates of perturbed solutions in L space for 2 ≤ q ≤ ∞ are obtained. The proof for existence is due to the class...

the dynamic response of the railway under accelerated moving load using dynamic green function is presented in this paper. for this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped euler-bernoulli beam on the partial winkler foundation with arbitrary boundary conditions subjected to the moving load. the effects of the elastic coefficient of wi...

We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R 2. We prove that the rate of dissipation of enstrophy vanishes. Stationary statistical solutions of the damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of the damped and driven Euler equations. These solutions obey the enst...

In this paper, we analyze the pressureless damped Euler-Riesz equations posed in either $\mathbb{R}^d$ or $\mathbb{T}^d$. We construct global-in-time existence and uniqueness of classical solutions for system around a constant background state. also establish large-time behaviors showing towards equilibrium as time goes to infinity. For whole space case, first show algebraic decay rate under ad...

We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R. We prove that the rate of dissipation of enstrophy vanishes. Stationary statistical solutions of the damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of the damped and driven Euler equations. These solutions obey the enstro...

We consider the inviscid limit of the stochastic damped 2D NavierStokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic damped Euler equation and that the rate of dissipation of enstrophy converges to zero. In particular, this limit obeys an enstrophy balance. The...

We consider an optimal control problem with indeenite cost for an abstract model which covers in particular hyperbolic and hyperbolic-like systems in a general bounded domain. Necessary and suucient conditions are given for the synthesis of the optimal control, which is given in terms of the Riccati operator arising from a nonstandard Riccati equation. The theory also extends a nite-dimensional...

The dynamic response of the railway under accelerated moving load using Dynamic Green Function is presented in this paper. For this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped Euler-Bernoulli beam on the partial Winkler foundation with arbitrary boundary conditions subjected to the moving load. The effects of the elastic coefficient of Wi...