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PreprintarXiv licencearXiv

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

  • Diego Alonso-Orán
  • Rafael Granero-Belinchón
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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.

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Cite

BibTeXRIS
BibTeX
@misc{alonsooran2026finite,
  title = {{Finite time singularity formation for a nonlocal Boussinesq system arising in cold-plasma dynamics}},
  author = {Diego Alonso-Orán and Rafael Granero-Belinchón},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22911},
  eprint = {2609.22911},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22911},
}
RIS
TY  - UNPB
TI  - Finite time singularity formation for a nonlocal Boussinesq system arising in cold-plasma dynamics
AU  - Diego Alonso-Orán
AU  - Rafael Granero-Belinchón
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.22911
UR  - https://arxiv.org/abs/2609.22911
AB  - 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.
ER  -