Reading source record 1984. View default cited record →
The classical continuation criterion makes integrated supremum vorticity a necessary divergence diagnostic at finite-time smooth breakdown.
Source publication and attributed assessments are distinct from independent OpenMath review.
The exact passages cited in OpenMath. Each passage identifies how its wording was recorded.
The classical continuation criterion makes integrated supremum vorticity a necessary divergence diagnostic at finite-time smooth breakdown.
Passage ID: euler-regularity:entry:bkm:v1
Source item: bkm
Source record: euler-regularity:source:bkm:v1
Explicit citations in versioned problem publications. A citation records a use; it does not confer proof or independent verification.
Problem publication v9
Source assessment
Proved
Classical vorticity continuation criterion
Conditional necessary breakdown diagnostic, not construction of a singular solution.
Observed Oct 13, 2026
Scope
Finite-time smooth breakdown requires divergent integrated vorticity
Definition
Incompressible and unforced
History
A vorticity continuation criterion
Question
Three-dimensional Euler regularity
Further reading
Read the setting and notation before comparing the results.
Recorded authorship
J. Thomas Beale · Tosio Kato · Andrew Majda
J. Thomas Beale, Tosio Kato, Andrew Majda
No specific AI contribution is attributed by this source record.
OpenMath source records preserve exact citations. Observation dates order these records; they do not establish the latest upstream paper or proof.
Remarks on the Breakdown of Smooth Solutions for the 3-D Euler Equations
OpenMath supplies its own mathematical paraphrases and links; proof text is not republished.
Source terms ↗