On the linear force-free fields in bounded and unbounded three-dimensional domains
ESAIM: M2AN, 33 2 (1999) 359-393
Published online: 2002-08-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Obstructions to Topological Relaxation for Generic Magnetic Fields
Alberto Enciso and Daniel Peralta-SalasArchive for Rational Mechanics and Analysis 249 (1) (2025)
https://doi.org/10.1007/s00205-024-02078-5
On the Construction of Beltrami Fields and Associated Boundary Value Problems
Pablo E. Moreira and Briceyda B. DelgadoAdvances in Applied Clifford Algebras 34 (4) (2024)
https://doi.org/10.1007/s00006-024-01340-z
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains
Briceyda B. Delgado and Vladislav V. KravchenkoAdvances in Applied Clifford Algebras 33 (3) (2023)
https://doi.org/10.1007/s00006-023-01275-x
On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations
Pier Domenico Lamberti and Ioannis G. StratisSIAM Journal on Mathematical Analysis 52 (5) 4140 (2020)
https://doi.org/10.1137/19M1251370
An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity
E. Lokharu, D. S. Seth and E. WahlénArchive for Rational Mechanics and Analysis 238 (2) 607 (2020)
https://doi.org/10.1007/s00205-020-01550-2
A Right Inverse Operator for $${\text {curl}}+\lambda $$ curl + λ and Applications
Briceyda B. Delgado and Vladislav V. KravchenkoAdvances in Applied Clifford Algebras 29 (3) (2019)
https://doi.org/10.1007/s00006-019-0958-z
Determining the Transport of Magnetic Helicity and Free Energy in the Sun’s Atmosphere
Peter W. Schuck and Spiro K. AntiochosThe Astrophysical Journal 882 (2) 151 (2019)
https://doi.org/10.3847/1538-4357/ab298a
A variational principle for three-dimensional water waves over Beltrami flows
E. Lokharu and E. WahlénNonlinear Analysis 184 193 (2019)
https://doi.org/10.1016/j.na.2019.01.028
Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain
A. Alonso-Rodríguez, J. Camaño, R. Rodríguez, A. Valli and P. VenegasFoundations of Computational Mathematics 18 (6) 1493 (2018)
https://doi.org/10.1007/s10208-018-9373-4
Explicit div-curl inequalities in bounded and unbounded domains of $${{\mathbb {R}}}^3$$ R 3
Tahar Zamene Boulmezaoud, Keltoum Kaliche and Nabil KerdidANNALI DELL'UNIVERSITA' DI FERRARA 63 (2) 249 (2017)
https://doi.org/10.1007/s11565-016-0266-7
Time domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials
Serge NicaiseMathematical Methods in the Applied Sciences 36 (7) 794 (2013)
https://doi.org/10.1002/mma.2627
The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
Thomas H. OtwayLecture Notes in Mathematics, The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type 2043 47 (2012)
https://doi.org/10.1007/978-3-642-24415-5_3
Solving exterior Neumann boundary value problems for Beltrami fields through the Beltrami system
Simopekka VänskäJournal of Integral Equations and Applications 22 (4) (2010)
https://doi.org/10.1216/JIE-2010-22-4-591
Computing Beltrami Fields
Tahar Amari, Cédric Boulbe and Tahar Zamène BoulmezaoudSIAM Journal on Scientific Computing 31 (5) 3217 (2009)
https://doi.org/10.1137/070700942
WELL-POSEDNESS OF THE DRUDE–BORN–FEDOROV MODEL FOR CHIRAL MEDIA
PATRICK CIARLET and GUILLAUME LEGENDREMathematical Models and Methods in Applied Sciences 17 (03) 461 (2007)
https://doi.org/10.1142/S0218202507001991
Numerical Mathematics and Advanced Applications
C. Boulbe, T.Z. Boulmezaoud and T. AmariNumerical Mathematics and Advanced Applications 917 (2006)
https://doi.org/10.1007/978-3-540-34288-5_91
A relaxation method for constructing a Beltrami flow in a bounded domain
Takahiro NishiyamaJournal of Mathematical Physics 46 (8) (2005)
https://doi.org/10.1063/1.1996440
Construction of three–dimensional stationary Euler flows from pseudo–advected vorticity equations
Takahiro NishiyamaProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459 (2038) 2393 (2003)
https://doi.org/10.1098/rspa.2003.1132
A finite-element method for computing nonlinear force-free fields
T.Z. Boulmezaoud and T. AmariMathematical and Computer Modelling 34 (7-8) 903 (2001)
https://doi.org/10.1016/S0895-7177(01)00108-X
Approximation of linear force-free fields in bounded 3-D domains
T.Z. Boulmezaoud and T. amariMathematical and Computer Modelling 31 (2-3) 109 (2000)
https://doi.org/10.1016/S0895-7177(99)00227-7