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耦合边界下非线性抛物方程组解的熄灭

Quenching of solutions for the nonlinear parabolic system coupled at the boundary
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摘要 探讨非线性抛物型方程组在非线性流量边界条件下的初边值问题.利用上下解方法和杨格不等式,证明了x=1是方程组的惟一熄灭点,给出了解在有限时间熄灭的充分条件.在一定条件下,得到了解的熄灭速率. The initial boundary value problem of nonlinear parabolic system coupled at the boundary through a nonlinear flux is considered.Upper and lower solutions technique and Young inequality were used,the only quenching point is the origin x=1 was obtained.Sufficient conditions about the quenching of solutions are given.The quenching rates under some assumptions are obtained.
作者 张为元 李俊林
机构地区 咸阳师范学院数学系 太原科技大学应用数学研究所
出处 《纺织高校基础科学学报》 CAS 2010年第3期279-281,共3页 Basic Sciences Journal of Textile Universities
基金 山西省自然科学基金资助项目(2007011008) 咸阳师范学院科研项目(07XSYK284)
关键词 抛物型方程组 熄灭 惟一熄灭点 熄灭速率 parabolic system quenching only quenching point quenching rate
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献10

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纺织高校基础科学学报
2010年 第3期

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