Work

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

Year: 2026

Type: preprint

Abstract: 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 bound for the lifespan and show that the velocity gradient becomes unbounded.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.22911

Authors: Alonso-Orán, Diego, Granero-Belinchón, Rafael

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agencia Estatal de Investigación, European Social Fund

Awards: G4071968812, G4092644100, G546199279, G6218905885, G7476016095, G8888022036

OpenAlex ID: W7214002145

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