Author

Rafael Granero-Belinch'on

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Preprint Sep 2026

Finite time singularity formation for a nonlocal Boussinesq system arising in cold-plasma dynamics

We study finite-time singularity formation for a nonlocal Boussinesq system arising in cold-plasma dynamics. We show that smooth, symmetric initial data with strictly positive total density and a sufficiently negative velocity slope at the origin lead to finite-time blow-up. More precisely, we give an explicit upper bo...

Diego Alonso-Orán, Rafael Granero-Belinch'on · 0 citations

Preprint Sep 2026

Pseudo-differential noise and nonlocal singularity formation in the stochastic C\'ordoba--C\'ordoba--Fontelos equation

We study the stochastic C\'ordoba--C\'ordoba--Fontelos equation driven by multiplicative Stratonovich noise. The noise amplitude is allowed to be a pseudo-differential operator whose leading part is nearly skew-adjoint. This class contains classical transport noise and also permits genuinely nonlocal perturbations. We...

Diego Alonso-Or'an, Rafael Granero-Belinch'on, Yingting Miao et al. · 0 citations