Quasilinear Maxwell-Stokes system with topological parameters by reduction method
Xing‐Bin Pan · Discrete and Continuous Dynamical Systems - S · 2023
In this paper we use the reduction method to study solvability of the quasilinear Maxwell-Stokes system with the topological parameters describing the effect of domain topology on the system. Existence of the classical solutions is established for the boundary value problem under either the natural boundary condition, or the Dirichlet boundary condition of prescribing the tangential component.