The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
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Publication:4832805
DOI10.1063/1.1507609zbMath1060.81048OpenAlexW1983499534MaRDI QIDQ4832805
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1507609
PDEs in connection with optics and electromagnetic theory (35Q60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items (15)
Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ Existence of nontopological solutions for the generalized Maxwell-Chern-Simons-Higgs model ⋮ On the well-posedness of Maxwell-Chern-Simons-Higgs system in the Lorenz gauge ⋮ Local solutions with infinite energy of the Maxwell-Chern-Simons-Higgs system in Lorenz gauge ⋮ Local well-posedness of the Maxwell-Chern-Simons-Higgs system in the temporal gauge ⋮ Gamma limit of the nonself-dual Chern-Simons-Higgs energy ⋮ Local and global solutions to the \(O(3)\)-sigma model with the Maxwell and the Chern-Simons gauges in \(\mathbb{R}^{1 + 1} \) ⋮ Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains ⋮ Symmetric Chern-Simons-Higgs vortices ⋮ Topological solutions of the self-dual equations for the generalized Maxwell-Chern-Simons-Higgs model ⋮ Minimizers near the first critical field for the nonself-dual Chern-Simons-Higgs energy ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ Cauchy problems of the gauged sigma model ⋮ Global existence and nonrelativistic limit for the Vlasov-Maxwell-Chern-Simons system ⋮ Global solutions of two coupled Maxwell systems in the temporal gauge
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