Abstract—

The analytical solution to the problem of thermal convection in the upper mantle adjoined to the subduction zone is constructed. The results of seismotomographic mantle shooting are used in the formulation of problem. The corresponding nonlinear problem of mathematical physics can be integrated analytically and reduced to a significantly simpler system of nonlinear algebraic equations. The main aim of the present study is to justify mathematically a new regional model of evolution of the Arctic and North East Asia lithosphere [1–5]. In particular, the possibility of existence of the single -cell flow structure strongly stretched in the horizontal direction in the upper mantle is needed to test.

中文翻译：

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与俯冲带热机械连接的上地幔对流研究及其在北极地区和东北亚的地球动力学应用

摘要——

建立了与俯冲带相邻的上地幔热对流问题的解析解。地震地幔拍摄的结果用于问题的制定。数学物理中相应的非线性问题可以通过解析积分并简化为一个明显更简单的非线性代数方程组。本研究的主要目的是在数学上证明北极和东北亚岩石圈演化的新区域模型 [1-5]。尤其需要检验上地幔是否存在水平方向强烈拉伸的单细胞流结构。