Abstract
We study global weak solutions to the 3D time-dependent Ginzburg-Landau-Maxwell equations with the Coulomb gauge. We obtain uniform bounds of solutions with respect to the dielectric constant ε > 0. Consequently, the existence of global weak solutions to the Ginzburg-Landau equations follows by a compactness argument.
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Acknowledgements
J. Fan is partially supported by NSFC (No. 11171154). This work was supported by JSPS KAKENHI Grant Numbers 26247014, 25610027.
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Fan, J., Ozawa, T. (2017). Uniform Regularity for the Time-Dependent Ginzburg-Landau-Maxwell Equations. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_38
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DOI: https://doi.org/10.1007/978-3-319-48812-7_38
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