Publication details
Energy conservation for inhomogeneous incompressible and compressible Euler equations
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.jde.2020.05.025 |
| Doi | http://dx.doi.org/10.1016/j.jde.2020.05.025 |
| 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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