Radially symmetric stationary solutions for a MEMS type reaction-diffusion equation with fringing field
Radially symmetric stationary solutions for a MEMS type reaction-diffusion equation with fringing field
复制标题
具有边缘场的MEMS型反应扩散方程的径向对称稳态解
DOI：
10.1088/1361-6544/ac9bc3
复制
发表时间：
2022
期刊：
影响因子：
1.7
通讯作者：
Sakamoto Takashi Okuda
中科院分区：
文献类型：
--
作者：
Ichida Yu;Sakamoto Takashi Okuda
研究了具有边缘场的微机电系统（MEMS）型反应扩散方程的径向对称定态解。该方程是在MEMS器件的研究中提出的。本文致力于研究这些解决方案的存在性，信息，他们的形状，和他们的渐近行为。这些都是通过应用框架相结合的庞加莱型紧化，经典动力系统理论，几何方法的解奇异向量场称为爆破技术。
Radially symmetric stationary solutions for a micro-electro-mechanical system (MEMS) type reaction–diffusion equation with fringing field are considered. This equation arises in the study of the MEMS devices. This paper is devoted to the study of the existence of these solutions, information about their shape, and their asymptotic behaviour. These are studied by applying the framework that combines Poincaré type compactification, classical dynamical systems theory, and geometric methods for desingularization of vector fields called the blow-up technique.