| 甘在会.非均匀介质中Zakharov系统的位力奇性解[J].数学年刊A辑,2012,33(5):579~598 |
| 非均匀介质中Zakharov系统的位力奇性解 |
| Virial Type Singular Solutions to Zakharov System in Nonhomogeneous Medium |
| |
| DOI： |
| 中文关键词: Zakharov系统 奇性解 非均匀介质 位力恒等式 |
| 英文关键词:Zakharov system, Singular solution, Nonhomogeneous medium,
Virial identity |
| 基金项目:国家自然科学基金(No11171241,No11071177)资助的项目 |
|
| Hits: 1356 |
| Download times: 37 |
| 中文摘要: |
| 研究非均匀介质中Zakharov系统的位力奇性解.该系统描述了静电势与等离子密度在静电极限意义下的相互作用.一方面,利用位力恒等式,在c0=+∞时证明了所研究的Zakharov系统的有限时间爆破结果.另一方面,通过建立局部的位力恒等式并利用关于时间的Lyapunov函数的存在性,在00<+∞时得到了所研究的Zakharov系统具负能量的径向对称解的爆破结果. |
| 英文摘要: |
| The author studies virial type singular solutions to the Zakharov system in a
nonhomogeneous medium, the system describes the interaction of the electrostatic potential
with the plasma density in the sense of electrostatic limit. By using a virial identity, the
author proves a finite time blow-up result of the Zakharov system for c0 = +∞. Also the
author obtains a blow-up result of the radially symmetric solution with negative energy to
the Zakharov system for 0 < c0 < +∞ by establishing a local virial identity and using the
existence of a Lyapunov function in time. |
| View Full Text View/Add Comment Download reader |
| Close |
