arXiv subjects

Jun Ouyang

Publications and source records attributed to Jun Ouyang.

3 recordsLinked to original sources

arXiv2026

Finite-dimensional approximations of random attractor for stochastic discrete complex Ginzburg-Landau equations

In this paper, we apply an implicit Euler scheme to discretize the complex Ginzburg-Landau equation and prove the existence of a numerical attractor for the discrete Ginzburg-Landau system. We establish the upper semicontinuity of the numerical attractor with respect to the global attractor as the time step tends to zero. Furthermore, we provide finite-dimensional approximations for three types of attractors (global, numerical, and random), and demonstrate the existence of truncated attractors along with their convergence as the dimension of the state space tends to infinity. Finally, we prove the existence of a random attractor and establish the upper semi-continuity both of the global random attractor and the truncated random attractor.

math.NA↗

arXiv2014

A classification of long-range interactions between two stacks of $p$ \& $p'$-branes

We generalize the computations of the long-range interactions between two parallel stacks of branes in \cite{Wu and Wang, Prof. Lu's lecture notes} to various cases when two stacks of branes are not placed parallel to each other. We classify the nature of interaction (repulsive or attractive) for each special case and this classification can be used to justify the nature of long-range interaction between two complicated brane systems such as brane bound states. We will provide explicit examples in this paper to demonstrate this.

hep-th↗

arXiv2013

The quintessence field as a perfect cosmic fluid of constant pressure

We study the cosmology of a quintessence scalar field which is equivalent to a non-barotropic perfect fluid of constant pressure. The coincidence problem is alleviated by such a quintessence equation-of-state that interpolates between plateau of zero at large redshifts and plateau of minus one as the redshift approaches to zero. The quintessence field is neither a unified dark matter nor a mixture of cosmological constant and cold dark matter, because the quintessence density contrasts decay monotonously on sub-horizon scales and the squared sound speeds of quintessence perturbations do not vanish. What a role does the quintessence play is dynamic dark energy. Though the clustering of quintessence decays drastically, it could remarkably impact the growth rate of the density perturbations of non-relativistic matters at early stage.

astro-ph.CO↗