- PII
- S3034508125030023-1
- DOI
- 10.7868/S3034508125030023
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 522 / Issue number 1
- Pages
- 10-15
- Abstract
- We consider solenoidal space-periodic space-analytic solutions to the equations of hydrodynamics. An elementary bound shows that due to the special structure of the nonlinear terms in the equations for modified solutions, effectively they lack a half of the spatial gradient. This appears to be a novel mechanism for depletion of nonlinearity. We present a two-phase iterative procedure yielding an expanded bound for the guaranteed time of the space analyticity of the hydrodynamic solutions.
- Keywords
- энстрофия пространственная аналитичность вырождение нелинейности
- Date of publication
- 02.06.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 76
References
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