| 一类不定常热耦合Stokes问题:存在性,唯一性和解的爆破 |
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| 引用本文： | 李刚,胡丹妮,朱江. 一类不定常热耦合Stokes问题:存在性,唯一性和解的爆破[J]. 应用数学, 2008, 21(2): 331-339 |
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| 作者姓名： | 李刚 胡丹妮 朱江 |
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| 作者单位： | 南京信息工程大学数理学院,江苏,南京,210044 |
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| 摘 要： | 研究了一类具有与时间相关的黏性系数和黏性热的不定常不可压拟牛顿流问题,即一类不定常热耦合Stokes问题.在一定条件下用Schauder不动点定理证明了弱解的存在性.通过建立弱解对初边值的估计式证明了解的唯一性.给出了有关解的爆破的结论.
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| 关 键 词： | 不定常 热耦合Stokes问题 存在性 唯一性 爆破 Unsteady Thermally coupled Stokes problem Existence Uniqueness Blowup 不定 热耦合 Stokes Problem 问题 存在性 解的爆破 Coupled Unsteady Existence Uniqueness Result blowup estimate initial boundary conditions established prove uniqueness fixed point theorem weak solution |
| 文章编号： | 1001-9847(2008)02-0331-09 |
| 修稿时间： | 2007-07-20 |
The Unsteady Thermally Coupled Stokes Problem:Existence,Uniqueness,Blowup |
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| LI Gang,HU Dan-ni,ZHU Jiang. The Unsteady Thermally Coupled Stokes Problem:Existence,Uniqueness,Blowup[J]. Mathematica Applicata, 2008, 21(2): 331-339 |
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| Authors: | LI Gang HU Dan-ni ZHU Jiang |
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| Abstract: | This paper studies an unsteady thermally coupled Stokes problem which describing the unsteady flow of a quasi-Newtonian fluid with temperature-dependent viscosity and with a viscous heating.Existence of a weak solution is proved under some conditions by Schauder's fixed point theorem.The estimate of the weak solution which depends on the initial and boundary conditions is established to prove the uniqueness.Result on blowup of the weak solution is also studied. |
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| Keywords: | Unsteady Thermally coupled Stokes problem Existence Uniqueness Blowup |
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