In this paper, we address the problem of local well-posedness of the Chern-Simons-Dirac
(CSD) and the Chern-Simons-Higgs (CSH) equations in the Lorenz gauge for low regularity …

We prove that the Chern-Simons-Dirac equations in the Coulomb gauge are locally well-
posed from initial data in H^ s with s> 1/4. To study nonlinear Wave or Dirac equations at this …

The Chern-Simons-Higgs and the Chern-Simons-Dirac systems in Lorenz gauge are locally
well-posed in suitable Fourier-Lebesgue spaces $\hat {H}^{s, r} $. Our aim is to minimize …

We consider the Cauchy problem associated with the Chern–Simons–Dirac system in ℝ1+
2. Using gauge invariance, we reduce the Chern–Simons–Dirac system to a Dirac equation …

We establish a general small data global existence and decay theorem for Chern–Simons
theories with a general gauge group, coupled with a massive relativistic field of spin 0 or 1/2 …

Remarks on Chern–Simons–Dirac Equations in One Space Dimension Page 1 DOI 10.1007/s11005-014-0701-6
Lett Math Phys (2014) 104:991–1001 Remarks on Chern–Simons–Dirac Equations in One …

In this paper we consider a Cauchy problem on the self-dual relativistic non-abelian Chern–
Simons–Higgs model, which is the system of equations of sl (n, C)\,(n ≥ 2) sl (n, C)(n≥ 2) …

We study an initial value problem of the Chern-Simons gauged O (3) sigma model in one
space dimension. The global existence of solutions to the model is proved for high regularity …

We present finite difference schemes for the one-dimensional Chern-Simons gauged
Schrödinger and Dirac equations. We provide two numerical schemes for the Chern-Simons …

In this paper, we address the problem of local well-posedness of the Chern-Simons-Dirac
(CSD) and the Chern-Simons-Higgs (CSH) equations in the Lorenz gauge for low regularity …