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SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM 被引量：2

SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM
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摘要 The author derives the same null condition as in [1] for the nonlinear elastodynamic system in a simpler way and proves the equivalence of the null conditions introduced in [1] and [7] respectively. The author derives the same null condition as in [1] for the nonlinear elastodynamic system in a simpler way and proves the equivalence of the null conditions introduced in [1] and [7] respectively.
作者 XIN JIE Institute of Mathematics, Laboratory of Mathematics for Nonlinear Sciences, Pudan University, Shanghai 200433, China.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第3期311-316,共6页 数学年刊（B辑英文版）
关键词 非线性弹性动力学系统 零条件 拟线性双曲系统 等价性 经典解 存在性 储能函数 Null condition, Stored energy function, Elastodynamic system
分类号 O175.27 [理学—基础数学] O343 [理学—固体力学]
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参考文献10

  • 1Agemi,R.,Global existence of nonlinear elastic waves [J],Invent.Math.,142(2000),225-250.
  • 2John,F.,Blow-up for quasi-linear waves equations in three space dimensions [J],Comm.Pure Appl.Math.,34(1981),29-51.
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  • 5Klainerman,S.,The null condition and global existence to nonlinear wave equations [A],Lectures in Appl.Math.[C],American Math.Soc.,23(1986),293-326.
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  • 10Li Ta-tsien & Qin Tiehu,Physics and partial differential equations [M],Vol.II,Higher Educational Press,Beiiing,2000.

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Chinese Annals of Mathematics,Series B
2002年 第3期

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