Asymptotic behavior of solutions to nonlinear equations with dissipation for large x and t

Asymptotic behavior of solutions to nonlinear equations with dissipation for large x and t
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大 x 和 t 耗散非线性方程解的渐近行为

DOI:
10.1002/sapm199287145
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发表时间:
1992
影响因子:
2.7
通讯作者:
P. Naumkin
P. Naumkin
中科院分区:
数学3区
文献类型:
--
作者:
P. Naumkin

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研究了一类非线性非局部耗散方程柯西问题解的大时间渐近性态。本文证明了Kolmogorov Petrovsky Piscounov方程的推广解的渐近性,它是Whitham研究的一个模型方程,也是Ott,Sudan和Ostrovsky提出的一个方程
We study large time asymptotic behavior of solutions to the Cauchy problem for a class of non linear non local equations with dissipation. The asymptotics of solutions for a generalization of the Kolmogorov Petrovsky Piscounov equation, a model equation studied by Whitham, and an equation introduced by Ott, Sudan, and Ostrovsky is found