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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
The undelying dynamics is modeled by a nonlinear hyperbolil-like shell equation with a nonlinear dissipation.
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Finite dimensionality and compactness of attractors for von Karman equations with nonlinear dissipation
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On Solvability of Boundary-Value Problems for the Wave Equation with a Nonlinear Dissipation in Noncylindrical Domains
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These phenomena can be caused by an acoustic wind or thermal lens formed as a result of the nonlinear dissipation at the shock fronts.
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We have obtained solutions in the form of stationary waves within the framework of the generalized KdV-Burgers equation, which contains nonconservative terms of linear pump, linear HF dissipation, and nonlinear dissipation.
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| | we consider BVP of quasilinear wave equations with nonlinear dissipation termwhere b,c and f are the time-periodic functions, aj,βi≥0,ai+β>0 j=1, 2. we assume that a, b, c and f satisfy the following condition: a(u)∈C2 (R1) and a'(w)>0, b∈C0, b(. ,ξ) is a strictly increasing function for ξ, and ξb≥r1 ξ p+1,b≤d1 ξ p+d2,c∈c0 and c≤dξ + e, f∈Lp+1(G). we have the following result: If the condition(2) holds, then the problem(1) has a periodic solution u∈D. | | 具有非线性耗散项的拟线性波动方程的周期解问题,是一个困难问题.我们利用有限维投影法,在一定条件下,证明了带非线性耗散项的一维拟线性波动方程各种边值问题广义周期解存在,从而扩展了以往半线性方程的结果. | | 文摘来源 | | We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.Not requiring that the C~0 norm of the initial data is small but the C~0 norm of the firstorder derivative is sufficiently small,and using some prior estimates,we prove the existence of the global smooth solutions for the initial value problem. | | 研究具非线性耗散项的强迫拟线性波动方程的初值问题.对初值的C0模不加小性限制,而需其一阶导数的C0模足够小.利用几个关键的先验估计,证明初值问题的整体光滑解的存在性. | | 文摘来源 | |   |
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