The general magneto-static model and Maxwell-Stokes system with topological parameters
From MaRDI portal
Publication:2208468
DOI10.1016/j.jde.2020.09.002zbMath1466.35180OpenAlexW3088035276MaRDI QIDQ2208468
Publication date: 3 November 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.09.002
weak solutionexistencedomain topologymagneto-static modelquasilinear Maxwell-Stokes systemtopological parameter
PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62) Maxwell equations (35Q61)
Related Items
Div-curl system with potential and Maxwell-Stokes system with natural boundary condition, Div‐curl‐gradient inequalities and div‐curl system with oblique boundary condition, Static and evolution equations with degenerate curls, Maxwell-Stokes system with \(L^2\) boundary data and div-curl system with potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type
- Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors
- On a quasilinear system involving the operator curl
- On a singular limit problem for nonlinear Maxwell's equations
- Towards a unified field theory for classical electrodynamics
- Optimal regularity of solution to a degenerate elliptic system arising in electromagnetic fields
- Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite \(\kappa\)
- Weak solution theory for Maxwell's equations in the semistatic limit case
- Hodge decomposition. A method for solving boundary value problems
- Variational and operator methods for Maxwell-Stokes system
- Numerical analysis of nonlinear multiharmonic eddy current problems
- Linear and quasilinear elliptic equations
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- On a quasilinear system arising in the theory of superconductivity
- An Efficient Eddy Current Model for Nonlinear Maxwell Equations with Laminated Conductors
- $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
- Minimizing curl in a multiconnected domain
- On the boundary value problems of electro- and magnetostatics
- Finite Element Methods for Navier-Stokes Equations
- Estimating ∇u by divu and curlu
- The semistatic limit for maxwell's equations in an exterior doimain
- Singularities of eddy current problems
- ON A NONLINEAR MAXWELL'S SYSTEM IN QUASI-STATIONARY ELECTROMAGNETIC FIELDS
- Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
- Oblique Derivative Problems for Elliptic Equations
- Homogenization of Quasi-static Maxwell's Equations
- Fix‐point linearization schemes for nonlinear steady‐state eddy current problems
- Regularity of weak solutions to nonlinear Maxwell systems
- Asymptotic behaviour of the div-curl problem in exterior domains