Work

The Euler Equations with Variable Coefficients

Year: 2026

Type: article

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.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/25m1793870

Authors: Benjamin Ingimarson, Igor Kukavica, Amjad M. Tuffaha

Institutions: University of Southern California, American University of Sharjah

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Regularity and Asymptotic Behavior in Fluid Dynamics