@Article{JMS-57-223, author = {Li , Mengxuan and Geng , Jinbo}, title = {Formation of Singularity for Compressible Euler Equations Outside a Ball in 3-D}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {2}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n2.24.06}, url = {http://global-sci.org/intro/article_detail/jms/23170.html} }