带阻尼项的Euler-Poisson方程组解的破裂
Blow up for the solutions of the Euler-Poisson equations with damping
本文主要研究在Rn(n≥1)中带阻尼的Euler-Poisson方程组经典解得奇性形成。在初始条件满足一定的假设条件下，得到Rn(n≥1)中带吸引外力和一维空间R‘中带排除外力的Euler-Poisson方程组的散度在有限时间内破裂
In this paper, we consider the formation of singularities for the solutions of the Euler-Poisson equations with damping with attractive forces in $R^{n}(ngeq1)$ and the repulsive forces in $R$. Under the appropriate assumptions on initial data, we can obtain the divergence of the velocity will blow up in the finite time.
刘见礼、房尧立
数学力学
欧拉-泊松方程组阻尼奇性
Euler-Poisson equationsDampingSingularities
刘见礼,房尧立.带阻尼项的Euler-Poisson方程组解的破裂[EB/OL].(2017-04-28)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201704-804.点此复制
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