| 张剑文.不可压膨胀流边界层方程组变换问题整体弱解的存在唯一性[J].数学年刊A辑,2009,30(4):491~504 |
| 不可压膨胀流边界层方程组变换问题整体弱解的存在唯一性 |
| The Global Existence and Uniqueness of Weak Solution to the Reduced Problem of the Boundary Layer System for Incompressible Dilatable Fluids |
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| DOI： |
| 中文关键词: 边界层 不可压缩膨胀流 整体弱解 |
| 英文关键词:Boundary layer, Incompressible dilatable fluids, Global weak solution |
| 基金项目:国家自然科学基金(No.10801111;No.10601008)资助的项目 |
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| 中文摘要: |
| 通过引进变换,证明了如果初边值充分光滑并满足某一增长性条件,则在顺压的条件下,当幂律流体的指标n∈(1,1+√2)时,不可压缩膨胀流边界层方程组的变换问题存在唯一的整体弱解. |
| 英文摘要: |
| In the case that the pressure is favorable and 1 < n < 1 + √2, the author
proves the global existence and uniqueness of weak solution to the reduced problem of the
boundary layer system for viscous incompressible dilatable fluids under the assumption that
the initial-boundary data satisfies some growth conditions. |
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