论文标题
在$ \ mathbb {r}^3 $中的广义lamé-navier系统上
On a Generalized Lamé-Navier system in $\mathbb{R}^3$
论文作者
论文摘要
本文致力于线性弹性理论中的基本方程系统：著名的Lamé-Navier系统。 Clifford代数语言使我们能够根据Euclidean Dirac运营商重写该系统，同时，这表明涉及所谓的结构集的非常自然的概括。我们有兴趣在这些广义Lamé-Navier系统的解决方案中找到一些结构。使用MATLAB，我们还实施算法来使用这种部分差分运算符，并验证本文中获得的一些理论结果。
This paper is devoted to a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite this system in terms of the euclidean Dirac operator, which at the same time suggests a very natural generalization involving the so-called structural sets. We are interested in finding some structures in the solutions of these generalized Lamé-Navier systems. Using MATLAB we also implement algorithms to compute with such partial differential operators as well as to verify some theoretical results obtained in the paper.
