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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

Explicit div-curl inequalities in bounded and unbounded domains of $${{\mathbb {R}}}^3$$ R 3

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Solving exterior Neumann boundary value problems for Beltrami fields through the Beltrami system

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DOI: 10.1216/JIE-2010-22-4-591

Approximation of linear force-free fields in bounded 3-D domains

T.Z. Boulmezaoud and T. amari
Mathematical and Computer Modelling 31 (2-3) 109 (2000)
DOI: 10.1016/S0895-7177(99)00227-7

A finite-element method for computing nonlinear force-free fields

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DOI: 10.1016/S0895-7177(01)00108-X

Computing Beltrami Fields

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SIAM Journal on Scientific Computing 31 (5) 3217 (2009)
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A relaxation method for constructing a Beltrami flow in a bounded domain

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Journal of Mathematical Physics 46 (8) 083102 (2005)
DOI: 10.1063/1.1996440

An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity

E. Lokharu, D. S. Seth and E. Wahlén
Archive for Rational Mechanics and Analysis 238 (2) 607 (2020)
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Time domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials

Serge Nicaise
Mathematical Methods in the Applied Sciences 36 (7) 794 (2013)
DOI: 10.1002/mma.2627

A Right Inverse Operator for $${\text {curl}}+\lambda$$ curl + λ and Applications

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DOI: 10.1007/s00006-019-0958-z

Construction of three–dimensional stationary Euler flows from pseudo–advected vorticity equations

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Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459 (2038) 2393 (2003)
DOI: 10.1098/rspa.2003.1132

WELL-POSEDNESS OF THE DRUDE–BORN–FEDOROV MODEL FOR CHIRAL MEDIA

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Mathematical Models and Methods in Applied Sciences 17 (03) 461 (2007)
DOI: 10.1142/S0218202507001991

Determining the Transport of Magnetic Helicity and Free Energy in the Sun’s Atmosphere

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The Astrophysical Journal 882 (2) 151 (2019)
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On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations

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SIAM Journal on Mathematical Analysis 52 (5) 4140 (2020)
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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. Venegas
Foundations of Computational Mathematics 18 (6) 1493 (2018)
DOI: 10.1007/s10208-018-9373-4

C. Boulbe, T.Z. Boulmezaoud and T. Amari
Numerical Mathematics and Advanced Applications 917 (2006)
DOI: 10.1007/978-3-540-34288-5_91

A variational principle for three-dimensional water waves over Beltrami flows

E. Lokharu and E. Wahlén
Nonlinear Analysis 184 193 (2019)
DOI: 10.1016/j.na.2019.01.028