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The evolution thermistor problem with degenerate thermal conductivity
The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films
1. | Department of Mathematics, South China Normal University, Guangzhou, Guangdong 510631, China |
2. | Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
[1] |
Rejeb Hadiji, Ken Shirakawa. Asymptotic analysis for micromagnetics of thin films governed by indefinite material coefficients. Communications on Pure and Applied Analysis, 2010, 9 (5) : 1345-1361. doi: 10.3934/cpaa.2010.9.1345 |
[2] |
Xiao-Ping Wang, Ke Wang, Weinan E. Simulations of 3-D domain wall structures in thin films. Discrete and Continuous Dynamical Systems - B, 2006, 6 (2) : 373-389. doi: 10.3934/dcdsb.2006.6.373 |
[3] |
Yang Liu, Wenke Li. A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films. Discrete and Continuous Dynamical Systems - S, 2021, 14 (12) : 4367-4381. doi: 10.3934/dcdss.2021112 |
[4] |
Yanpeng Jin, Ying Fu. Global Carleman estimate and its applications for a sixth-order equation related to thin solid films. Communications on Pure and Applied Analysis, 2022, 21 (8) : 2775-2797. doi: 10.3934/cpaa.2022072 |
[5] |
Laura Sigalotti. Homogenization of pinning conditions on periodic networks. Networks and Heterogeneous Media, 2012, 7 (3) : 543-582. doi: 10.3934/nhm.2012.7.543 |
[6] |
Wafaa Assaad, Ayman Kachmar. The influence of magnetic steps on bulk superconductivity. Discrete and Continuous Dynamical Systems, 2016, 36 (12) : 6623-6643. doi: 10.3934/dcds.2016087 |
[7] |
Tai-Chia Lin. Vortices for the nonlinear wave equation. Discrete and Continuous Dynamical Systems, 1999, 5 (2) : 391-398. doi: 10.3934/dcds.1999.5.391 |
[8] |
Carolina Mendoza, Jean Bragard, Pier Luigi Ramazza, Javier Martínez-Mardones, Stefano Boccaletti. Pinning control of spatiotemporal chaos in the LCLV device. Mathematical Biosciences & Engineering, 2007, 4 (3) : 523-530. doi: 10.3934/mbe.2007.4.523 |
[9] |
Matteo Novaga, Enrico Valdinoci. Closed curves of prescribed curvature and a pinning effect. Networks and Heterogeneous Media, 2011, 6 (1) : 77-88. doi: 10.3934/nhm.2011.6.77 |
[10] |
Mickaël Dos Santos, Oleksandr Misiats. Ginzburg-Landau model with small pinning domains. Networks and Heterogeneous Media, 2011, 6 (4) : 715-753. doi: 10.3934/nhm.2011.6.715 |
[11] |
Tiantian Mu, Jun-E Feng, Biao Wang. Pinning detectability of Boolean control networks with injection mode. Discrete and Continuous Dynamical Systems - S, 2022 doi: 10.3934/dcdss.2022089 |
[12] |
Hans G. Kaper, Bixiang Wang, Shouhong Wang. Determining nodes for the Ginzburg-Landau equations of superconductivity. Discrete and Continuous Dynamical Systems, 1998, 4 (2) : 205-224. doi: 10.3934/dcds.1998.4.205 |
[13] |
Francesco Maggi, Salvatore Stuvard, Antonello Scardicchio. Soap films with gravity and almost-minimal surfaces. Discrete and Continuous Dynamical Systems, 2019, 39 (12) : 6877-6912. doi: 10.3934/dcds.2019236 |
[14] |
Mei-Qin Zhan. Global attractors for phase-lock equations in superconductivity. Discrete and Continuous Dynamical Systems - B, 2002, 2 (2) : 243-256. doi: 10.3934/dcdsb.2002.2.243 |
[15] |
Jiao He, Rafael Granero-Belinchón. On the dynamics of 3D electrified falling films. Discrete and Continuous Dynamical Systems, 2021, 41 (9) : 4041-4064. doi: 10.3934/dcds.2021027 |
[16] |
Stefanella Boatto. Curvature perturbations and stability of a ring of vortices. Discrete and Continuous Dynamical Systems - B, 2008, 10 (2&3, September) : 349-375. doi: 10.3934/dcdsb.2008.10.349 |
[17] |
B. Emamizadeh, F. Bahrami, M. H. Mehrabi. Steiner symmetric vortices attached to seamounts. Communications on Pure and Applied Analysis, 2004, 3 (4) : 663-674. doi: 10.3934/cpaa.2004.3.663 |
[18] |
Shusen Yan, Weilin Yu. Planar vortices in a bounded domain with a hole. Electronic Research Archive, 2021, 29 (6) : 4229-4241. doi: 10.3934/era.2021081 |
[19] |
Yilun Shang. Group pinning consensus under fixed and randomly switching topologies with acyclic partition. Networks and Heterogeneous Media, 2014, 9 (3) : 553-573. doi: 10.3934/nhm.2014.9.553 |
[20] |
Mei-Qin Zhan. Gevrey class regularity for the solutions of the Phase-Lock equations of Superconductivity. Conference Publications, 2001, 2001 (Special) : 406-415. doi: 10.3934/proc.2001.2001.406 |
2021 Impact Factor: 1.273
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