Year: 2024
Author: Mengxuan Li, Jinbo Geng
Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 223–229
Abstract
The initial boundary value problem for a compressible Euler system outside a ball in $\mathbf{R}^3$ is considered in this paper. Assuming the initial data have small and compact supported perturbations near a constant state, we show that the solution will blow up in a finite time, and the lifespan estimate can be estimated by the small parameter of the initial perturbations. To this end, a “tricky” test function admitting good behavior is introduced.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n2.24.06
Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 223–229
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Compressible Euler equations exterior domain blow-up impermeable boundary condition.