Global Conservative Solutions of the Hyperelastic Rod Equation
Global Conservative Solutions of the Hyperelastic Rod Equation
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DOI：
10.1093/imrn/rnm040
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发表时间：
2010-07
影响因子：
1
通讯作者：
O. Mustafa
中科院分区：
文献类型：
--
作者：
O. Mustafa
本文提出了一种分析超弹性杆方程破波解的新方法。引入一组变量可以解决奇点。还建立了连续的半群解。对于勒贝格测度，这些解几乎每次都具有恒定的 H1 能量。
A new approach to the analysis of wave-breaking solutions to the hyperelastic rod equation is presented in this paper. Introduction of a set of variables allows solving the singularities. A continuous semigroup of solutions is also built. The solutions have constantH1energy almost every time with respect to the Lebesgue measure.