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arXiv 0911.4446math.AP
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五阶非线性色散方程的Schock波和Schock子。II

Schock waves and compactons for fifth-order nonlinear dispersion equations. II

V. A. Galaktionov

摘要:

结果表明,五阶非线性频散方程的Schotton理论允许激波和稀疏波的存在。一个自相似梯度爆破示出承认无限多的相似性扩展超出爆破时间,这意味着主要的非唯一性的柯西问题的解决方案后,发生这样的奇异性。

英文摘要:

It is shown that fifth-order nonlinear dispersion equations from compacton theory admit shock and rarefaction waves. A self-similar gradient blow-up is shown to admit infinitely many similarity extensions beyond blow-up time, meaning principal nonuniqueness of solutions of the Cauchy problem after occurring such singularities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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