助手标题  
全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
查询帮助
意见反馈
   high order wave equation 的翻译结果: 查询用时:0.008秒
图标索引 在分类学科中查询
所有学科
数学
更多类别查询

图标索引 历史查询
 

high order wave equation
相关语句
  高阶波动方程
     The Asymptotis Theory of a High Order Wave Equation
     一类高阶波动方程解的渐近理论
短句来源
  相似匹配句对
     On Order
     秩序微言
短句来源
     On Order
     论秩序
短句来源
     THEORY OF HIGH ORDER ABERRATIONS
     高级象差理论
短句来源
     Simplification of High-Order Systems
     高阶系统的简化问题
短句来源
     2) High-order virial equation.
     2)高次维里方程。
短句来源
查询“high order wave equation”译词为用户自定义的双语例句

    我想查看译文中含有:的双语例句
例句
没有找到相关例句


In this paper we study the scattering theory at low energy for nonlinear higher order wave equations.Our main tools are time-space estimates of linear higher-order wave equation.For this reason we first obtain the time-space estimates for linear higher-order wave equation by the technology of undertermined index and the method of functional Analysis which are different from the method of proof for classical wave equation,further...

In this paper we study the scattering theory at low energy for nonlinear higher order wave equations.Our main tools are time-space estimates of linear higher-order wave equation.For this reason we first obtain the time-space estimates for linear higher-order wave equation by the technology of undertermined index and the method of functional Analysis which are different from the method of proof for classical wave equation,further we prove the estimates of nonlinear term in homogenous Sobolev space.Using time-space estimates and nonlinear estimates we obtain the scattering theory at low energy for nonlinear higher-order wave equation.Meanwhiles,we also obtain the global existence and uniqueness for nonlinear higher-order wave equations under condition of low energy.

本文研究了高阶波动方程的低能量散射理论,基本工具是高阶线性波动方程解的时空估计.与经典的二阶波动方程解的时空估计证明不同,我们采用泛函分析的方法与待定指标技巧,首次给出了高阶线性波动方程的时空估计,藉此与非线性函数在齐次Sobolev空间中的估计,获得了高阶波动方程的低能量散射结论.与此同时,也得到了具临界增长的高阶波动方程的柯西问题在低能量条件下的整体存在唯一性.

In the case of violent lateral velocity variation in rnedium or complicated sub-surface geologic structure,the conventional time migration can hardly image seismicreflector accurately,while depth migration can solve the problem satisfactorily. Inthis method,the complex subsurface geologic structure can be nicely reconstructedby converging diffraction-wave equation and making time shift correction of refrac-tion-term equation. We may have simple 45° and 60° high-order wave...

In the case of violent lateral velocity variation in rnedium or complicated sub-surface geologic structure,the conventional time migration can hardly image seismicreflector accurately,while depth migration can solve the problem satisfactorily. Inthis method,the complex subsurface geologic structure can be nicely reconstructedby converging diffraction-wave equation and making time shift correction of refrac-tion-term equation. We may have simple 45° and 60° high-order wave equations bytaking low-order equation system as approximate diffraction wave equation and re-vising approximate coefficients,so that steep dip ref1ection waves may migrate tocorrect positions. The refraction-term equation is coped with by using time shift al-gorithrn based on the equation property, instead of the usual finite differencemethod that results in unstable continuation. Theoretical model and real data re-sults show that this method is an accurate and efficient depth migration method.

在介质速度横向变化剧烈或地下构造比较复杂的情况下,常规时间偏移很难使地震反射界面准确成像,深度偏移则是解决这一问题的根本方法。该方法通过对绕射波方程的收敛及折射项方程的时移校正,可准确地重建地下复杂构造、文中我们利用低阶方程组近似绕射波方程,通过修改近似系数获得形式简单的45°和60°高阶方程,从而使大倾角的反射波偏移归位。而对于折射项方程,我们则抛弃了常规的、导致延拓不稳定的有限差分方法,直接依据折射项方程的特点,利用时移算法加以实现。理论模型和实际资料的试算,证实了该方法是一种计算速度快、处理精度高、极为有效的深度偏移方法。

This paper deals with the asymptotic theory for a class of semilinear high order wave equations in a suitable sobolev space. The validation of formal approximations is available on a long time scale.

在Sobolev空间中研究了一类半线性高阶波动方程解的渐近理论 ,得到了形式近似解的合理性在长时间范围内成立

 
<< 更多相关文摘    
图标索引 相关查询

 


 
CNKI小工具
在英文学术搜索中查有关high order wave equation的内容
在知识搜索中查有关high order wave equation的内容
在数字搜索中查有关high order wave equation的内容
在概念知识元中查有关high order wave equation的内容
在学术趋势中查有关high order wave equation的内容
 
 

CNKI主页设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
版权图标  2008 CNKI-中国知网
京ICP证040431号 互联网出版许可证 新出网证(京)字008号
北京市公安局海淀分局 备案号:110 1081725
版权图标 2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社