Zobrazeno 1 - 8
of 8
pro vyhledávání: '"He, Runan"'
Publikováno v:
Mathematical Methods in the Applied Sciences 47 (2024), 6310 - 6353
Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion mo
Externí odkaz:
http://arxiv.org/abs/2401.04128
Autor:
Dohnal, Tomáš, He, Runan
Linear Maxwell equations for transverse magnetic (TM) polarized fields support single frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a dielectric. Metals are typically dispersive, i.e. the dielectric function de
Externí odkaz:
http://arxiv.org/abs/2311.17838
Publikováno v:
Journal of Differential Equations 384 (2024), 193 - 251
In this paper we study the local wellposedness of the solution to a non-linear parabolic-dispersive coupled system which models a Micro-Electro-Mechanical System (MEMS). A simple electrostatically actuated MEMS capacitor device has two parallel plate
Externí odkaz:
http://arxiv.org/abs/2312.00807
Publikováno v:
Discrete and Continuous Dynamical Systems 43 (2023), 3485-3511
In this work, we study the local wellposedness of the solution to a nonlinear elliptic-dispersive coupled system which serves as a model for a Micro-Electro-Mechanical System (MEMS). A simple electrostatically actuated MEMS capacitor device consists
Externí odkaz:
http://arxiv.org/abs/2304.14257
Publikováno v:
Proceedings of the Royal Society A 478 (2022), 20220490
We consider the formation of finite-time quenching singularities for solutions of semi-linear wave equations with negative power nonlinearities, as can model micro-electro-mechanical systems (MEMS). For radial initial data we obtain, formally, the ex
Externí odkaz:
http://arxiv.org/abs/2210.14821
Autor:
Dohnal, Tomáš, He, Runan
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
Publikováno v:
In Journal of Differential Equations 5 March 2024 384:193-251
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; Nov2022, Vol. 478 Issue 2267, p1-19, 19p