The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$ TeX Export

@misc{citeulike:2525015, abstract = {We prove the finite time blow-up for \$C^1\$ solutions to the Euler-Poisson equations in \$\Bbb R^n\$, \$n\geq 1\$, with/without background density for initial data satisfying suitable conditions. We also find a sufficient condition for the initial data such that \$C^3\$ solution breaks down in finite time for the compressible Euler equations for polytropic gas flows.}, archivePrefix = {arXiv}, author = {Chae, Dongho}, citeulike-article-id = {2525015}, citeulike-linkout-0 = {http://arxiv.org/abs/0803.1788}, citeulike-linkout-1 = {http://arxiv.org/pdf/0803.1788}, eprint = {0803.1788}, keywords = {blow-up, euler-poisson}, month = {Mar}, posted-at = {2008-03-13 10:12:09}, priority = {2}, title = {The finite time blow-up for the Euler-Poisson equations in \$\Bbb R^n\$}, url = {http://arxiv.org/abs/0803.1788}, year = {2008} }

TY - ELEC ID - citeulike:2525015 L3 - citeulike-article-id:2525015 N2 - We prove the finite time blow-up for $C^1$ solutions to the Euler-Poisson equations in $\Bbb R^n$, $n\geq 1$, with/without background density for initial data satisfying suitable conditions. We also find a sufficient condition for the initial data such that $C^3$ solution breaks down in finite time for the compressible Euler equations for polytropic gas flows. TI - The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$ KW - blow-up KW - euler-poisson AU - Chae, Dongho PY - 2008/Mar/12/ UR - http://arxiv.org/abs/0803.1788 ER -