偏微分方程理论 meaning in English
theory of partial differential equations
Examples
- Feng xiangchu , male , born in 1962 , professor , ph . d . supervisor . his main research interests include image processing , the theory of pdes and its application , wavelets and its applications
冯象初，男， 1962年生，教授，博士生导师，主要研究方向为偏微分方程理论及其应用、小波理论及其在图像处理中的应用。 - However , linearization of the boussinesq equation 624 science in china : series d earth sciences allows the derivation of analytical solutions valid for specific cases . here we follow the methodology of brutsaert 20 22 to linearize the diffusion term in : 22cossin , hkpdhkhnttffxfx where p is the linearization constant taken to be 0 . 5 usually and d l is the mean aquifer depth . the clas - sical separation of variables method for partial differ - ential equations is adopted to give the analytical solu - tion of eq
对于方程2 , brutsaert进行了如下的线性化处理20 22 22cossin , hkpdhkhnttffxfx ? ? ? ? ? ? 3这里p是线性化常数一般取值为0 . 5 20 , 21 ,而d l是整个潜水面的平均厚度的线性化参数,下面采用science in china ser . d earth sciences第4期? ?田向军等:基于boussinesq - storage方程同时考虑水分储存和入渗的地下径流机制377的是偏微分方程理论中比较经典的分离变量法来给出以上这个经过线性化处理后的方程的解析解 - Nonlinear functional analysis is a subject . old but fashionable . its abundant theories and advanced methods are providing powerful and fruitful tools in solving ever increasing nonlinear problems in the fields of science and technology . though the theories of integral and differential equations in banach spaces , as new branches of nonlinear functional analysis . have developed for no more than thirty years , they are finding extensive applications in such domains as the critical point theory , the theory of partial differential equa - tions , eigenvalue problems . and so on , are attracting much more attentions from both pure and applied mathematicians
非线性泛函分析是一门既悠久又现代的学科，它的丰富理论和先进方法为解决当今科技领域层出不穷的非线性问题提供了卓有成效的工具，作为自非线性泛函分析中衍生发展起来的新的分支， banach空间微分方程和积分方程理论虽经历了不足三十年的发展过程，然而它已被广泛应用于诸如临界点理论，偏微分方程理论，特征值问题等许多领域，其重要性日益凸现出来