Hyperbolic quenching problem with damping in the micro-electro mechanical system device

Autor:	Jong-Shenq Guo, Bo-Chih Huang
Rok vydání:	2014
Předmět:	Cauchy problem Mechanical system Quenching Nonlinear system Classical mechanics Applied Mathematics Mathematical analysis Discrete Mathematics and Combinatorics Boundary value problem Wave equation Hyperbolic partial differential equation Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - B. 19:419-434
ISSN:	1553-524X
DOI:	10.3934/dcdsb.2014.19.419
Popis:	We study the initial boundary value problem for the damped hyperbolic equation arising in the micro-electro mechanical system device with local or nonlocal singular nonlinearity. For both cases, we provide some criteria for quenching and global existence of the solution. We also derive the existence of the quenching curve for the corresponding Cauchy problem with local source.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::092c1f89bf307e88115bc8ad5319618d https://doi.org/10.3934/dcdsb.2014.19.419 Zobrazit plný text záznamu