Harmonic fields and Maxwell equations on perforated domains
DOI10.1016/j.na.2019.111663zbMath1436.35016OpenAlexW2981814202WikidataQ127023851 ScholiaQ127023851MaRDI QIDQ1985787
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.111663
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for elliptic systems (35J50) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Variational methods for second-order elliptic equations (35J20) Maxwell equations (35Q61) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type
- Potential and scattering theory on wildly perturbed domains
- Vector potential theory on nonsmooth domains in \(\mathbb{R}^ 3\) and applications to electromagnetic scattering
- On approximation of Ginzburg-Landau minimizers by \(\mathbb{S}^1\)-valued maps in domains with vanishingly small holes
- The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains
- On the homogenization of the Stokes problem in a perforated domain
- Uniform convergence of solutions to elliptic equations on domains with shrinking holes
- A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains
- $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
- Finite Element Methods for Navier-Stokes Equations
- Vector potentials in three-dimensional non-smooth domains
- ON A NONLINEAR MAXWELL'S SYSTEM IN QUASI-STATIONARY ELECTROMAGNETIC FIELDS
- Asymptotic behaviour of the div-curl problem in exterior domains
This page was built for publication: Harmonic fields and Maxwell equations on perforated domains