Linear damping and depletion in flowing plasma with strong sheared magnetic fields

Journal de Mathématiques Pures et Appliquées - Tập 158 - Trang 1-41 - 2022
Han Liu1, Nader Masmoudi1,2, Cuili Zhai3, Weiren Zhao4
1NYUAD Research Institute, New York University Abu Dhabi, Saadiyat Island, Abu Dhabi, P.O. Box 129188, United Arab Emirates
2Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA
3School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, PR China
4Department of Mathematics, New York University Abu Dhabi, Saadiyat Island, Abu Dhabi, P.O. Box 129188, United Arab Emirates

Tài liệu tham khảo

Bedrossian, 2019, Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations, Ann. PDE, 5, 192 Bedrossian, 2015, Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations, Publ. Math. IHÉS, 122, 195, 10.1007/s10240-015-0070-4 Bouchet, 2010, Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations, Physica D, Nonlinear Phenom., 239, 948, 10.1016/j.physd.2010.01.020 Deng Heyvaerts, 1983, Coronal heating by phase-mixed shear Alfvén waves, Astron. Astrophys., 117, 200 Hirota, 2005, Resonance between continuous spectra: secular behavior of Alfvén waves in a flowing plasma, Phys. Plasmas, 12, 10.1063/1.1834591 Ionescu, 2019, Inviscid damping near the Couette flow in a channel, Commun. Math. Phys., 1 Ionescu Jia, 2020, Linear inviscid damping in Gevrey spaces, Arch. Ration. Mech. Anal., 235, 1327, 10.1007/s00205-019-01445-x Jia, 2020, Linear inviscid damping near monotone shear flows, SIAM J. Math. Anal., 52, 623, 10.1137/19M1273232 Lifschitz, 1989 Lin, 2011, Inviscid dynamical structures near Couette flow, Arch. Ration. Mech. Anal., 200, 1075, 10.1007/s00205-010-0384-9 Masmoudi S. Ren, D. Wei, Z. Zhang, Long time behavior of Alfvén waves in flowing plasma: the destruction of magnetic island, Preprint. Ren, 2017, Linear damping of Alfvén waves by phase mixing, SIAM J. Math. Anal., 49, 2101, 10.1137/16M1101283 Stern, 1963, Joint instability of hydromagnetic fields which are separately stable, Phys. Fluids, 6, 636, 10.1063/1.1706793 Stein, 1993 Tataronis, 1973, Decay of MHD wave by phase mixing, I: the sheet-pinch in plane geometry, Z. Phys., 261, 203, 10.1007/BF01391913 Wei, 2018, Linear inviscid damping for a class of monotone shear flow in Sobolev spaces, Commun. Pure Appl. Math., 71, 617, 10.1002/cpa.21672 Wei, 2019, Linear inviscid damping and vorticity depletion for shear flows, Ann. PDE, 5, 101 Wei, 2020, Linear inviscid damping and enhanced dissipation for the Kolmogorov flow, Adv. Math., 362, 10.1016/j.aim.2019.106963 Zhai Zillinger, 2017, Linear inviscid damping for monotone shear flows, Trans. Am. Math. Soc., 369, 8799, 10.1090/tran/6942 Zohm, 2015