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Diffusion and guiding center approximation for particle transport in strong magnetic fields
1. | Institut de Mathématiques de Toulouse, Université de Toulouse and CNRS, Université Paul Sabatier, 31062 Toulouse Cedex 9, France, France |
[1] |
Jean-Philippe Braeunig, Nicolas Crouseilles, Michel Mehrenberger, Eric Sonnendrücker. Guiding-center simulations on curvilinear meshes. Discrete and Continuous Dynamical Systems - S, 2012, 5 (2) : 271-282. doi: 10.3934/dcdss.2012.5.271 |
[2] |
Naoufel Ben Abdallah, Hédia Chaker. Mixed high field and diffusion asymptotics for the fermionic Boltzmann equation. Kinetic and Related Models, 2009, 2 (3) : 403-424. doi: 10.3934/krm.2009.2.403 |
[3] |
Jianjun Chen, Wancheng Sheng. The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. Communications on Pure and Applied Analysis, 2018, 17 (1) : 127-142. doi: 10.3934/cpaa.2018008 |
[4] |
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí, Jürgen Sprekels. A vanishing diffusion limit in a nonstandard system of phase field equations. Evolution Equations and Control Theory, 2014, 3 (2) : 257-275. doi: 10.3934/eect.2014.3.257 |
[5] |
Jaume Llibre, Dana Schlomiuk. On the limit cycles bifurcating from an ellipse of a quadratic center. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 1091-1102. doi: 10.3934/dcds.2015.35.1091 |
[6] |
Franco Flandoli, Matti Leimbach. Mean field limit with proliferation. Discrete and Continuous Dynamical Systems - B, 2016, 21 (9) : 3029-3052. doi: 10.3934/dcdsb.2016086 |
[7] |
Kazuhisa Ichikawa, Mahemauti Rouzimaimaiti, Takashi Suzuki. Reaction diffusion equation with non-local term arises as a mean field limit of the master equation. Discrete and Continuous Dynamical Systems - S, 2012, 5 (1) : 115-126. doi: 10.3934/dcdss.2012.5.115 |
[8] |
Nicolas Crouseilles, Mohammed Lemou. An asymptotic preserving scheme based on a micro-macro decomposition for Collisional Vlasov equations: diffusion and high-field scaling limits. Kinetic and Related Models, 2011, 4 (2) : 441-477. doi: 10.3934/krm.2011.4.441 |
[9] |
Hanming Zhou. Lens rigidity with partial data in the presence of a magnetic field. Inverse Problems and Imaging, 2018, 12 (6) : 1365-1387. doi: 10.3934/ipi.2018057 |
[10] |
Gilles Carbou, Stéphane Labbé, Emmanuel Trélat. Smooth control of nanowires by means of a magnetic field. Communications on Pure and Applied Analysis, 2009, 8 (3) : 871-879. doi: 10.3934/cpaa.2009.8.871 |
[11] |
Nurlan Dairbekov, Gunther Uhlmann. Reconstructing the metric and magnetic field from the scattering relation. Inverse Problems and Imaging, 2010, 4 (3) : 397-409. doi: 10.3934/ipi.2010.4.397 |
[12] |
Ariadna Farrés, Àngel Jorba. On the high order approximation of the centre manifold for ODEs. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 977-1000. doi: 10.3934/dcdsb.2010.14.977 |
[13] |
Jaume Llibre. Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. Discrete and Continuous Dynamical Systems - S, 2022 doi: 10.3934/dcdss.2022034 |
[14] |
Fabio Scalco Dias, Luis Fernando Mello. The center--focus problem and small amplitude limit cycles in rigid systems. Discrete and Continuous Dynamical Systems, 2012, 32 (5) : 1627-1637. doi: 10.3934/dcds.2012.32.1627 |
[15] |
Jaume Llibre, Yilei Tang. Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center. Discrete and Continuous Dynamical Systems - B, 2019, 24 (4) : 1769-1784. doi: 10.3934/dcdsb.2018236 |
[16] |
Iliya D. Iliev, Chengzhi Li, Jiang Yu. Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes. Communications on Pure and Applied Analysis, 2010, 9 (3) : 583-610. doi: 10.3934/cpaa.2010.9.583 |
[17] |
Mingqi Xiang, Patrizia Pucci, Marco Squassina, Binlin Zhang. Nonlocal Schrödinger-Kirchhoff equations with external magnetic field. Discrete and Continuous Dynamical Systems, 2017, 37 (3) : 1631-1649. doi: 10.3934/dcds.2017067 |
[18] |
Amer Rasheed, Aziz Belmiloudi, Fabrice Mahé. Dynamics of dendrite growth in a binary alloy with magnetic field effect. Conference Publications, 2011, 2011 (Special) : 1224-1233. doi: 10.3934/proc.2011.2011.1224 |
[19] |
Zeinab Karaki. Trend to the equilibrium for the Fokker-Planck system with an external magnetic field. Kinetic and Related Models, 2020, 13 (2) : 309-344. doi: 10.3934/krm.2020011 |
[20] |
Yernat M. Assylbekov, Hanming Zhou. Boundary and scattering rigidity problems in the presence of a magnetic field and a potential. Inverse Problems and Imaging, 2015, 9 (4) : 935-950. doi: 10.3934/ipi.2015.9.935 |
2020 Impact Factor: 1.432
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