Chen, Huyuan; Wang, Ying; Zhou, Feng On semilinear elliptic equation with negative exponent arising from a closed MEMS model. (English) Zbl 07782177 Z. Angew. Math. Phys. 75, No. 1, Paper No. 3, 25 p. (2024). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{H. Chen} et al., Z. Angew. Math. Phys. 75, No. 1, Paper No. 3, 25 p. (2024; Zbl 07782177) Full Text: DOI arXiv
Hou, Dianming; Wang, Hui; Zhang, Chao Positivity-preserving and unconditionally energy stable numerical schemes for MEMS model. (English) Zbl 1502.65066 Appl. Numer. Math. 181, 503-517 (2022). MSC: 65M06 65N06 65M12 35B09 74F15 74A60 78A55 74S20 PDFBibTeX XMLCite \textit{D. Hou} et al., Appl. Numer. Math. 181, 503--517 (2022; Zbl 1502.65066) Full Text: DOI
Wang, Qi; Zhang, Yanyan Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities. (English) Zbl 1484.35067 Commun. Pure Appl. Anal. 21, No. 3, 797-816 (2022). MSC: 35B40 35B44 35K51 35K58 53C35 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Y. Zhang}, Commun. Pure Appl. Anal. 21, No. 3, 797--816 (2022; Zbl 1484.35067) Full Text: DOI
Guo, Yujin; Zhang, Yanyan; Zhou, Feng Singular behavior of an electrostatic-elastic membrane system with an external pressure. (English) Zbl 1430.35101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111611, 29 p. (2020). MSC: 35J91 35J75 35B09 35A01 74F15 PDFBibTeX XMLCite \textit{Y. Guo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111611, 29 p. (2020; Zbl 1430.35101) Full Text: DOI arXiv
Chen, Huyuan; Wang, Ying; Zhou, Feng On semi-linear elliptic equation arising from micro-electromechanical systems with contacting elastic membrane. (English) Zbl 07785929 ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201700333, 18 p. (2019). MSC: 35B50 35J15 35J61 PDFBibTeX XMLCite \textit{H. Chen} et al., ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201700333, 18 p. (2019; Zbl 07785929) Full Text: DOI arXiv
Wang, Qi Quenching phenomenon for a parabolic MEMS equation. (English) Zbl 1398.35125 Chin. Ann. Math., Ser. B 39, No. 1, 129-144 (2018). MSC: 35K58 35A01 35B44 PDFBibTeX XMLCite \textit{Q. Wang}, Chin. Ann. Math., Ser. B 39, No. 1, 129--144 (2018; Zbl 1398.35125) Full Text: DOI
McLellan, Brenda; Medina, Luciano; Xu, Chenmei; Yang, Yisong Critical pull-in curves of MEMS actuators in presence of Casimir force. (English) Zbl 07775135 ZAMM, Z. Angew. Math. Mech. 96, No. 12, 1406-1422 (2016). MSC: 34C60 34C15 37N15 PDFBibTeX XMLCite \textit{B. McLellan} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 12, 1406--1422 (2016; Zbl 07775135) Full Text: DOI
Wang, Qi On some touchdown behaviors of the generalized MEMS device equation. (English) Zbl 1349.35210 Commun. Pure Appl. Anal. 15, No. 6, 2447-2456 (2016). MSC: 35K58 35A01 35B44 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Pure Appl. Anal. 15, No. 6, 2447--2456 (2016; Zbl 1349.35210) Full Text: DOI
Guo, Jong-Shenq; Morita, Yoshihisa; Yotsutani, Shoji Self-similar solutions for a quenching problem with spatially dependent nonlinearity. (English) Zbl 1416.34008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 147, 45-62 (2016). Reviewer: Alberto Boscaggin (Collegno) MSC: 34A34 34B15 35K55 74H35 PDFBibTeX XMLCite \textit{J.-S. Guo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 147, 45--62 (2016; Zbl 1416.34008) Full Text: DOI
Li, Jingyu; Liang, Chuangchuang Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS. (English) Zbl 1329.35035 Discrete Contin. Dyn. Syst. 36, No. 2, 833-849 (2016). MSC: 35B25 35A01 35L20 74H10 PDFBibTeX XMLCite \textit{J. Li} and \textit{C. Liang}, Discrete Contin. Dyn. Syst. 36, No. 2, 833--849 (2016; Zbl 1329.35035) Full Text: DOI
Luo, Xue; Yau, Stephen S.-T. On the quenching behavior of the MEMS with fringing field. (English) Zbl 1336.35192 Q. Appl. Math. 73, No. 4, 629-659 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35K55 35B40 35Q60 35J60 PDFBibTeX XMLCite \textit{X. Luo} and \textit{S. S. T. Yau}, Q. Appl. Math. 73, No. 4, 629--659 (2015; Zbl 1336.35192) Full Text: DOI arXiv
Wang, Qi Dynamical solutions of singular parabolic equations modeling electrostatic MEMS. (English) Zbl 1332.35143 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 629-650 (2015). MSC: 35K20 35A01 35B44 PDFBibTeX XMLCite \textit{Q. Wang}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 629--650 (2015; Zbl 1332.35143) Full Text: DOI
Wang, Qi Estimates for the quenching time of a MEMS equation with fringing field. (English) Zbl 1515.35135 J. Math. Anal. Appl. 405, No. 1, 135-147 (2013). MSC: 35K58 35B40 35K20 PDFBibTeX XMLCite \textit{Q. Wang}, J. Math. Anal. Appl. 405, No. 1, 135--147 (2013; Zbl 1515.35135) Full Text: DOI
Yang, Yisong; Zhang, Ruifeng; Zhao, Le Dynamics of electrostatic microelectromechanical systems actuators. (English) Zbl 1274.74050 J. Math. Phys. 53, No. 2, 022703, 13 p. (2012). MSC: 74A60 74F15 78A30 78A55 74H10 74S60 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Math. Phys. 53, No. 2, 022703, 13 p. (2012; Zbl 1274.74050) Full Text: DOI arXiv
Liu, Zhe; Wang, Xiaoliu On a parabolic equation in MEMS with fringing field. (English) Zbl 1243.35080 Arch. Math. 98, No. 4, 373-381 (2012). MSC: 35K20 35B33 35B40 35K58 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X. Wang}, Arch. Math. 98, No. 4, 373--381 (2012; Zbl 1243.35080) Full Text: DOI
Luo, Xue; Ye, Dong; Zhou, Feng Regularity of the extremal solution for some elliptic problems with singular nonlinearity and advection. (English) Zbl 1225.35095 J. Differ. Equations 251, No. 8, 2082-2099 (2011). MSC: 35J61 35B65 35B45 PDFBibTeX XMLCite \textit{X. Luo} et al., J. Differ. Equations 251, No. 8, 2082--2099 (2011; Zbl 1225.35095) Full Text: DOI arXiv HAL