Remarks on Chern-Simons-Dirac equations in one space dimension

DOI10.1007/s11005-014-0701-6zbMath1297.35199OpenAlexW2065433601MaRDI QIDQ405632

Hyungjin Huh

Publication date: 5 September 2014

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-014-0701-6

zbMATH Keywords

global existence\(A_1\equiv 0\) solitary waveChern-Simons-Diracgauge condition

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for nonlinear first-order PDEs (35F25) Soliton solutions (35C08)

Related Items (6)

Well-posedness for the dimension-reduced Chern-Simons-Dirac system ⋮ Chern-Simons-Schrödinger theory on a one-dimensional lattice ⋮ Remarks on Chern-Simons gauged O(3) sigma model in one space dimension ⋮ Remarks on Chern-Simons-Higgs equations in \(\mathbb{R}^{1 + 1}\) ⋮ Local and global solutions to the \(O(3)\)-sigma model with the Maxwell and the Chern-Simons gauges in \(\mathbb{R}^{1 + 1} \) ⋮ Remarks on the growth of the Sobolev norms for the Maxwell-Chern-Simons gauged model in \(\mathbb{R}^{1+1}\)

Cites Work

• Local and global well posedness for the Chern-Simons-Dirac system in one dimension.
• Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension
• On spectral stability of the nonlinear Dirac equation
• Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge
• Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\)
• A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension
• The Cauchy problem for the 1-D Dirac-Klein-Gordon equation
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
• Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
• On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D
• LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN–SIMONS–DIRAC SYSTEM IN TWO DIMENSIONS
• Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension

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