dorsal/arxiv
View SchemaBlow Ups of Complex Solutions of the 3D-Navier-Stokes System
| Authors | Dong Li, Yakov Sinai |
|---|---|
| Categories | |
| ArXiv ID | physics/0610101 |
| URL | https://arxiv.org/abs/physics/0610101 |
Abstract
We consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on $R^3$. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time.
{
"annotation_id": "4b951fca-8382-4109-9fe7-c4ba18b7cc7a",
"date_created": "2026-03-02T18:01:15.005000Z",
"date_modified": "2026-03-02T18:01:15.005000Z",
"file_hash": "1e69e0b5308a77f7557acc5171537950d7770f9d6313720e45d3bd2c0526c761",
"private": false,
"record": {
"abstract": "We consider complex-valued solutions of the three-dimensional Navier-Stokes\nsystem without external forcing on $R^3$. We show that there exists an open set\nin the space of 10-parameter families of initial conditions such that for each\nfamily from this set there are values of parameters for which the solution\ndevelops blow up in finite time.",
"arxiv_id": "physics/0610101",
"authors": [
"Dong Li",
"Yakov Sinai"
],
"categories": [
"physics.flu-dyn"
],
"title": "Blow Ups of Complex Solutions of the 3D-Navier-Stokes System",
"url": "https://arxiv.org/abs/physics/0610101"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7d7698fb-6cb1-44d9-a293-c7570f119698",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}