4 papers
An explicit numerical algorithm to the solution of Volterra integral equation of the second kind
Leanne Dong, John van der Hoek
This paper considers a numeric algorithm to solve the equation \begin{align*} y(t)=f(t)+\int^t_0 g(t-τ)y(τ)\,dτ\end{align*} with a kernel and input for . In some applica…
Invariant measures for the Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
Building upon the well-posedness results in \cite{snse1}, in this note we prove the existence of invariant measures for the stochastic Navier-Stokes equations with stable Lévy nois…
Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
In this paper we prove that the stochastic Navier-Stokes equations with stable Lévy noise generates a random dynamical systems. Then we prove the existence of random attractor for…
Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise: existence and uniqueness of weak and strong solutions
Leanne Dong
In this paper we prove the existence and uniqueness of a strong solution (in PDE sense) to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere perturbe…