The Euler Equations with Variable Coefficients
Abstract. We establish local-in-time existence for the Euler equations on a bounded domain with space-time dependent variable coefficients, given initial data [Formula: see text] under the optimal regularity condition [Formula: see text]. In the case [Formula: see text], we further prove a Beale–Kato–Majda-type criterion that relates blowup in the [Formula: see text] norm to the [Formula: see text] norm of the variable vorticity.
Authors
- Igor Kukavica (ORCID: https://orcid.org/0000-0002-9234-2758)
- Amjad Tuffaha (ORCID: https://orcid.org/0000-0001-8468-0688)
- Benjamin Ingimarson (ORCID: https://orcid.org/0009-0007-4970-4622)
Institutions
- University of Southern California (US)
- American University of Sharjah (AE)
Publication Details
- Journal
- SIAM Journal on Mathematical Analysis
- Published
- 2026-10-14
- DOI
- https://doi.org/10.1137/25m1793870
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation