Publication details

Energy conservation for inhomogeneous incompressible and compressible Euler equations


NGUYEN Quoc-Hung NGUYEN Phuoc-Tai TANG Bao Quoc

Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Keywords Inhomogeneous incompressible Euler equation; Compressible isentropic Euler equation; Energy; conservation; Onsager's conjecture
Description Energy conservations are studied for inhomogeneous incompressible and compressible Euler equations with general pressure law in a torus or a bounded domain. We provide sufficient conditions for a weak solution to conserve the energy. By exploiting a suitable test function, the spatial regularity for the density is only required to be of order 2/3 in the incompressible case, and of order 1/3 in the compressible case. When the density is constant, we recover the existing results for classical incompressible Euler equation. (c) 2020 Published by Elsevier Inc.
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