广义Maxwell Love数
Generalized Maxwell Love numbers
摘要：
通过初等方法，我研究了一个均匀的，不可压缩的，自引力球的广义麦克斯韦流变学，其机械模拟是由一个有限或无限系统的经典麦克斯韦元素平行设置的特点勒夫数。分析，以前未知的形式的复杂的剪切模量的广义麦克斯韦体被发现的代数操作，并研究在特定情况下的系统的弹簧和阻尼器的强度遵循幂律分布。我们表明，球是渐近稳定的任何选择的力学参数，定义广义麦克斯韦体和解析形式的爱数总是可用的广义机构组成的少于5个经典的麦克斯韦机构。对于均匀球体，可以应用基于Post-Widder公式的实拉普拉斯反演方法，而不执行n阶导数的数值离散化，其可以借助于Faa di Bruno公式以“封闭形式”计算。
英文摘要：
By elementary methods, I study the Love numbers of a homogeneous, incompressible, self-gravitating sphere characterized by a generalized Maxwell rheology, whose mechanical analogue is represented by a finite or infinite system of classical Maxwell elements disposed in parallel. Analytical, previously unknown forms of the complex shear modulus for the generalized Maxwell body are found by algebraic manipulation, and studied in the particular case of systems of springs and dashpots whose strength follows a power-law distribution. We show that the sphere is asymptotically stable for any choice of the mechanical parameters that define the generalized Maxwell body and analytical forms of the Love numbers are always available for generalized bodies composed by less than five classical Maxwell bodies. For the homogeneous sphere, real Laplace inversion methods based on the Post-Widder formula can be applied without performing a numerical discretization of the n-th derivative, which can be computed in a "closed-form" with the aid of the Faa di Bruno formula.
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