32 citations · 60 across the 6 of their papers we have counts for
9 papers
Derivation and well-posedness for asymptotic models of cold plasmas
Diego Alonso-Orán, Ángel Durán, Rafael Granero-Belinchón
In this paper we derive three new asymptotic models for an hyperbolic-hyperbolicelliptic system of PDEs describing the motion of a collision-free plasma in a magnetic field. The fi…
Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data
Diego Alonso-Orán, Rafael Granero-Belinchón
In this work we study the inhomogeneous Muskat problem, \emph{i.e.} the evolution of an internal wave between two different fluids in a porous medium with discontinuous permeabilit…
A local-in-time theory for singular SDEs with applications to fluid models with transport noise
Diego Alonso-Orán, Christian Rohde, Hao Tang
In this paper, we establish a local theory, i.e., existence, uniqueness and blow-up criterion, for a general family of singular SDEs in some Hilbert space. The key requirement is a…
Asymptotic shallow models arising in magnetohydrodynamics
Diego Alonso-Orán
In this paper, we derive a new shallow asymptotic model for the free boundary plasma-vacuum problem governed by the magnetohydrodynamic equation, vital in describing large-scale pr…
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
Diego Alonso-Oran, Aythami Bethencourt de Leon, Darryl Holm +1
The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to…
The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions
Diego Alonso-Orán, Aythami Bethencourt de León, So Takao
In this work, we examine the solution properties of the Burgers' equation with stochastic transport. First, we prove results on the formation of shocks in the stochastic equation a…
On the well-posedness of stochastic Boussinesq equations with cylindrical multiplicative noise
Diego Alonso-Orán, Aythami Bethencourt de León
The Boussinesq equations are fundamental in meteorology. Among other aspects, they aim to model the process of front formation. We use the approach presented in [Hol15] to introduc…
Pointwise monotonicity of heat kernels
Diego Alonso-Orán, Fernando Chamizo, Ángel D. Martínez +1
In this paper the authors present a proof of a pointwise radial monotonicity property of heat kernels that is shared by the euclidean spaces, spheres and hyperbolic spaces. The mai…
Stability, well-posedness and blow-up criterion for the Incompressible Slice Model
Diego Alonso-Orán, Aythami Bethencourt de León
In atmospheric science, slice models are frequently used to study the behaviour of weather, and specifically the formation of atmospheric fronts, whose prediction is fundamental in…