1 citations · 1 across the 5 of their papers we have counts for
5 papers
Pseudo-differential noise and nonlocal singularity formation in the stochastic Córdoba--Córdoba--Fontelos equation
Diego Alonso-Orán, Rafael Granero-Belinchón, Yingting Miao +1
We study the stochastic Córdoba--Córdoba--Fontelos equation driven by multiplicative Stratonovich noise. The noise amplitude is allowed to be a pseudo-differential operator whose l…
Damping-Diffusion-Noise Interactions in the Stochastic Camassa-Holm Equation
Diego Alonso-Orán, Peter H. C. Pang, Hao Tang
In this paper we investigate the effects of the interaction between time-inhomogeneous damping, non-local diffusion, and noise on classical solutions to the Camassa-Holm equation i…
On the blow up of a non-local transport equation in compact manifolds
Diego Alonso-Orán, Ángel D. Martínez
In this note we show finite time blow-up for a class of non-local active scalar equations on compact Riemannian manifolds. The strategy we follow was introduced by Silvestre and Vi…
Global existence and blow-up for a stochastic transport equation with non-local velocity
Diego Alonso-Orán, Yingting Miao, Hao Tang
In this paper we investigate a non-linear and non-local one dimensional transport equation under random perturbations on the real line. We first establish a local-in-time theory, i…
On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations
Diego Alonso-Orán, Juan J. L. Velázquez
In this work, we study the solvability of a boundary value problem for the magneto-hydrostatic equations originally proposed by Grad and Rubin in the late 50's. The proof relies on…