期刊文献+

取油管振动方程解的整体不存在性

On the Global Nonexistence of Solutions to the Equation of Vibrations of a Riser
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摘要 讨论推广的海底取油管振动方程的初边值问题和初值问题解的整体不存在性,对初边值问题推广了Gmira和Guedda得到的结果,对初值问题的结果是新的. The global nonexistence of solutions to the initial boundary value problem and the initial value problem for the equation of the vibrations of a marine riser be proved. The result for the initial boundary value problem generalized the theorem obtained by Gmira and Guedda, the result for the initial value problem is a new.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第9期69-73,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10671182)
关键词 整体不存在性 振动方程 初边值问题 初值问题 global nonexistence equation of vibration initial boundary value problem initialvalue problem
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参考文献5

  • 1Bayrak V,Can M.Global nonexistence and numerical instabilities of the vibrations of a riser[J].Math Comput Appl,1997,21(1):45-52.
  • 2Sun Ming-Guang.The stress boundary layers of a slender riser in s steady flow[J].Adv Hydrodyn,1980,4:32-43.
  • 3Line H A.Instability and nonexistence of global solutions to nonlinear wave equation of the form utt= -Au+F (u)[J].Trans Amer Math Soc,1974,192:1-21.
  • 4Kalantrrov V K,Kurt A.The long-time behavior of solutions of a nonlinear fourth order wave equation,describing the dynamics of marine riser[J].ZAMM Z Angew Math Mech,1991,77(3):209-215.
  • 5Gmira A.Guedda M.A note on the global nonexistence of solutions to vibrations of a riser[J].The Arabian J Sci Engi,2002,27(2A):197-206.

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