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Journal Articles

Mild ill-posedness for the two-dimensional inhomogeneous resistive magnetohydrodynamics equations near a background magnetic field

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Jiefeng Zhao, Jiayin Miao
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 053102 (2025)
https://doi.org/10.1063/5.0250450
Published: May 2025
View articletitled, Mild ill-posedness for the two-dimensional inhomogeneous resistive magnetohydrodynamics equations near a background magnetic field
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Journal Articles

A reduced ideal MHD system for nonlinear magnetic field turbulence in plasmas with approximate flux surfaces

Open Access
Naoki Sato, Michio Yamada
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 093101 (2024)
https://doi.org/10.1063/5.0186445
Published: September 2024
View articletitled, A reduced ideal MHD system for nonlinear magnetic field turbulence in plasmas with approximate flux surfaces
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Journal Articles

Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition

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Wadim Gerner
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 083506 (2024)
https://doi.org/10.1063/5.0163183
Published: August 2024
View articletitled, Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition
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Journal Articles

Erratum: “Existence of global symmetries of divergence-free fields with first integrals” [J. Math. Phys. 64, 052705 (2023)]

Open Access
David Perrella, Nathan Duignan, David Pfefferlé
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 059901 (2024)
https://doi.org/10.1063/5.0201571
Published: May 2024
View articletitled, Erratum: “Existence of global symmetries of divergence-free fields with first integrals” [J. Math. Phys. 64, 052705 (2023)]
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Journal Articles

Large time behavior for the Hall-MHD equations with horizontal dissipation

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Haifeng Shang
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 031504 (2024)
https://doi.org/10.1063/5.0188936
Published: March 2024
View articletitled, Large time behavior for the Hall-MHD equations with horizontal dissipation
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Journal Articles

Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations

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Lingping Kang, Xuemei Deng, Qunyi Bie
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 031506 (2021)
https://doi.org/10.1063/5.0042696
Published: March 2021
View articletitled, Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations
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Journal Articles

Comment on “Exact solutions and singularities of an X-point collapse in Hall magnetohydrodynamics” [J. Math. Phys. 59, 061509 (2018)]

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Alain J. Brizard
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 024101 (2019)
https://doi.org/10.1063/1.5090490
Published: February 2019
View articletitled, Comment on “Exact solutions and singularities of an X-point collapse in Hall magnetohydrodynamics” [J. Math. Phys. 59, 061509 (2018)]
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Journal Articles

Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation

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Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 071503 (2018)
https://doi.org/10.1063/1.5022099
Published: July 2018
View articletitled, Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation
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Journal Articles

Dynamical behaviors of stochastic Hasegawa-Mima equation in torus

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C. X. Guo, C. Y. Li, Y. Q. Han
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 021508 (2018)
https://doi.org/10.1063/1.5006446
Published: February 2018
View articletitled, Dynamical behaviors of stochastic Hasegawa-Mima equation in torus
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Journal Articles

Toward the analogue of a thermally generated electromagnetic field

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Bob Osano, Patrick W. M. Adams
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 093101 (2017)
https://doi.org/10.1063/1.5001338
Published: September 2017
View articletitled, Toward the analogue of a thermally generated electromagnetic field
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Journal Articles

Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas

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Manuel Núñez
Journal: Journal of Mathematical Physics
J. Math. Phys. 50, 103101 (2009)
https://doi.org/10.1063/1.3246611
Published: October 2009
View articletitled, Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas
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Journal Articles

Stochastic line motion and stochastic flux conservation for nonideal hydromagnetic models

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Gregory L. Eyink
Journal: Journal of Mathematical Physics
J. Math. Phys. 50, 083102 (2009)
https://doi.org/10.1063/1.3193681
Published: August 2009
View articletitled, Stochastic line motion and stochastic flux conservation for nonideal hydromagnetic models
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Journal Articles

Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations

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Ruifeng Zhang, Boling Guo
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 012703 (2007)
https://doi.org/10.1063/1.2424559
Published: January 2007
View articletitled, Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations
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Journal Articles

Nonresonant kinetic instabilities of a relativistic plasma in a uniform magnetic field: Longitudinal and transverse mode coupling effects

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R. C. Tautz, R. Schlickeiser, I. Lerche
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 013302 (2007)
https://doi.org/10.1063/1.2424549
Published: January 2007
View articletitled, Nonresonant kinetic instabilities of a relativistic plasma in a uniform magnetic field: Longitudinal and transverse mode coupling effects
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Journal Articles

Analytical integrability and physical solutions of d - KdV equation

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P. K. Karmakar, C. B. Dwivedi
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 032901 (2006)
https://doi.org/10.1063/1.2173087
Published: March 2006
View articletitled, Analytical integrability and physical solutions of d - KdV equation
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Journal Articles

Existence theorems for two-fluid magnetohydrodynamics

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Manuel Núñez
Journal: Journal of Mathematical Physics
J. Math. Phys. 46, 083101 (2005)
https://doi.org/10.1063/1.1985009
Published: July 2005
View articletitled, Existence theorems for two-fluid magnetohydrodynamics
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Journal Articles

MHD α 2 -dynamo, Squire equation and PT -symmetric interpolation between square well and harmonic oscillator

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Uwe Günther, Frank Stefani, Miloslav Znojil
Journal: Journal of Mathematical Physics
J. Math. Phys. 46, 063504 (2005)
https://doi.org/10.1063/1.1915293
Published: May 2005
View articletitled, MHD α 2 -dynamo, Squire equation and PT -symmetric interpolation between square well and harmonic oscillator
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Journal Articles

Existence and uniqueness of global solution of the Hasegawa–Mima equation

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Boling Guo, Yongqian Han
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 1639–1647 (2004)
https://doi.org/10.1063/1.1667607
Published: April 2004
View articletitled, Existence and uniqueness of global solution of the Hasegawa–Mima equation
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Journal Articles

Unsteady equipartition MHD solutions

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Oleg I. Bogoyavlenskij
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 381–390 (2004)
https://doi.org/10.1063/1.1629137
Published: January 2004
View articletitled, Unsteady equipartition MHD solutions
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Journal Articles

Uniqueness in MHD in divergence form: Right nullvectors and well-posedness

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Maurice H. P. M. van Putten
Journal: Journal of Mathematical Physics
J. Math. Phys. 43, 6195–6208 (2002)
https://doi.org/10.1063/1.1510174
Published: December 2002
View articletitled, Uniqueness in MHD in divergence form: Right nullvectors and well-posedness
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