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Journal articles on the topic 'Landau and Lifshitz, Looyenga equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Sreenivas, V. Naren, D. Karthik, V. Aravinth Kumar, et al. "Determination of Complex Permittivity of Fly Ash for Potential Electronic Applications." Applied Mechanics and Materials 110-116 (October 2011): 4292–96. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.4292.

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Disposal of fly ash obtained from thermal power plants is a major environmental concern. Fly ash contains large proportions of silica and ferrites. Investigation of its prospects as an electronic material provides scope for enhanced fly ash utilization. This involves measurement of relative permittivity and loss tangent. Experiments are carried out at X band frequencies in TE10 mode using standard klystron waveguide setup. Shorted Waveguide Method is used to determine the complex permittivity. The complex transcendental equation obtained is solved using Genetic Algorithm. Experimental results

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2

Visintin, Augusto. "Modified Landau-Lifshitz equation for ferromagnetism." Physica B: Condensed Matter 233, no. 4 (1997): 365–69. http://dx.doi.org/10.1016/s0921-4526(97)00322-0.

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3

Chow, Amenda, and Kirsten A. Morris. "Control of the Landau–Lifshitz equation." Automatica 67 (May 2016): 200–204. http://dx.doi.org/10.1016/j.automatica.2016.01.044.

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4

Moser, Roger. "Energy concentration for the Landau–Lifshitz equation." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 25, no. 5 (2008): 987–1013. http://dx.doi.org/10.1016/j.anihpc.2007.08.003.

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5

Baylis, W. E., and J. Huschilt. "Energy balance with the Landau–Lifshitz equation." Physics Letters A 301, no. 1-2 (2002): 7–12. http://dx.doi.org/10.1016/s0375-9601(02)00963-5.

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6

Roelofs, G. H. M., and R. Martini. "Prolongation structure of the Landau–Lifshitz equation." Journal of Mathematical Physics 34, no. 6 (1993): 2394–99. http://dx.doi.org/10.1063/1.530124.

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7

E, Weinan, and Xiao-Ping Wang. "Numerical Methods for the Landau--Lifshitz Equation." SIAM Journal on Numerical Analysis 38, no. 5 (2000): 1647–65. http://dx.doi.org/10.1137/s0036142999352199.

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8

Ellis, M. O. A., R. F. L. Evans, T. A. Ostler, et al. "The Landau–Lifshitz equation in atomistic models." Low Temperature Physics 41, no. 9 (2015): 705–12. http://dx.doi.org/10.1063/1.4930971.

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9

Guo, Boling, and Yongqian Han. "Global regular solutions for Landau-Lifshitz equation." Frontiers of Mathematics in China 1, no. 4 (2006): 538–68. http://dx.doi.org/10.1007/s11464-006-0027-5.

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10

Jia, Zonglin, and Boling Guo. "Landau-Lifshitz-Bloch equation on Riemannian manifold." Frontiers of Mathematics in China 14, no. 1 (2019): 45–76. http://dx.doi.org/10.1007/s11464-019-0745-0.

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11

Guo, Boling, and Ming Zeng. "Solutions for the fractional Landau–Lifshitz equation." Journal of Mathematical Analysis and Applications 361, no. 1 (2010): 131–38. http://dx.doi.org/10.1016/j.jmaa.2009.09.009.

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12

Gridnev, V. N. "Landau-Lifshitz-Bloch equation for ferrimagnetic metals." Journal of Magnetism and Magnetic Materials 538 (November 2021): 168241. http://dx.doi.org/10.1016/j.jmmm.2021.168241.

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13

Nielsen, C. F., J. B. Justesen, A. H. Sørensen, U. I. Uggerhøj, and R. Holtzapple. "Experimental verification of the Landau–Lifshitz equation." New Journal of Physics 23, no. 8 (2021): 085001. http://dx.doi.org/10.1088/1367-2630/ac1554.

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14

Kurzke, Matthias, Christof Melcher, Roger Moser, and Daniel Spirn. "Ginzburg–Landau Vortices Driven by the Landau–Lifshitz–Gilbert Equation." Archive for Rational Mechanics and Analysis 199, no. 3 (2010): 843–88. http://dx.doi.org/10.1007/s00205-010-0356-0.

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15

Nam, Won Chang, Min Hyung Cho, and YoungPak Lee. "Finite Difference Method for the Landau-Lifshitz Equation." Journal of the Korean Physical Society 53, no. 3 (2008): 1626–29. http://dx.doi.org/10.3938/jkps.53.1626.

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16

Bian, Dongfen, Boling Guo, and Liming Ling. "High-Order Soliton Solution of Landau-Lifshitz Equation." Studies in Applied Mathematics 134, no. 2 (2014): 181–214. http://dx.doi.org/10.1111/sapm.12051.

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17

Tomoyuki, SADAKANE. "Soliton solutions of XXZ lattice Landau–Lifshitz equation." Journal of Mathematical Physics 42, no. 11 (2001): 5457–71. http://dx.doi.org/10.1063/1.1407839.

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18

Chen, Yunmei. "Dirichlet boundary value problems of landau-lifshitz equation." Communications in Partial Differential Equations 25, no. 1-2 (2000): 101–24. http://dx.doi.org/10.1080/03605300008821509.

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19

Niemi, Antti J., and Paul Sutcliffe. "Leapfrogging vortex rings in the Landau–Lifshitz equation." Nonlinearity 27, no. 9 (2014): 2095–109. http://dx.doi.org/10.1088/0951-7715/27/9/2095.

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20

Svendsen, M., and H. C. Fogedby. "Phase shift analysis of the Landau-Lifshitz equation." Journal of Physics A: Mathematical and General 26, no. 7 (1993): 1717–30. http://dx.doi.org/10.1088/0305-4470/26/7/026.

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21

Ableidinger, M., and E. Buckwar. "Splitting Integrators for the Stochastic Landau--Lifshitz Equation." SIAM Journal on Scientific Computing 38, no. 3 (2016): A1788—A1806. http://dx.doi.org/10.1137/15m103529x.

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22

Chen, Yao, Yajuan Sun, and Yifa Tang. "Energy-preserving numerical methods for Landau–Lifshitz equation." Journal of Physics A: Mathematical and Theoretical 44, no. 29 (2011): 295207. http://dx.doi.org/10.1088/1751-8113/44/29/295207.

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23

Le, Kim Ngan. "Weak solutions of the Landau–Lifshitz–Bloch equation." Journal of Differential Equations 261, no. 12 (2016): 6699–717. http://dx.doi.org/10.1016/j.jde.2016.09.002.

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24

Huber, Alexander. "Periodic solutions for the Landau–Lifshitz–Gilbert equation." Journal of Differential Equations 250, no. 5 (2011): 2462–84. http://dx.doi.org/10.1016/j.jde.2010.11.019.

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25

Borisov, A. B., and V. V. Kiseliev. "Two-dimensional solutions of the Landau-Lifshitz equation." Physics Letters A 107, no. 4 (1985): 161–63. http://dx.doi.org/10.1016/0375-9601(85)90832-1.

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26

Zhai, Jian. "Non-constant stable solutions to Landau-Lifshitz equation." Calculus of Variations and Partial Differential Equations 7, no. 2 (1998): 159–71. http://dx.doi.org/10.1007/s005260050104.

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27

Fuwa, Atsushi, Tetsuya Ishiwata, and Masayoshi Tsutsumi. "Finite difference scheme for the Landau–Lifshitz equation." Japan Journal of Industrial and Applied Mathematics 29, no. 1 (2011): 83–110. http://dx.doi.org/10.1007/s13160-011-0054-9.

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28

Ding, Shijin, Xiangao Liu, and Changyou Wang. "The Landau–Lifshitz–Maxwell equation in dimension three." Pacific Journal of Mathematics 243, no. 2 (2009): 243–76. http://dx.doi.org/10.2140/pjm.2009.243.243.

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29

Ares de Parga, G., S. Domínguez-Hernández, and E. Salinas-Hernández. "Non relativistic limit of the Landau–Lifshitz equation: A new equation." Annals of Physics 369 (June 2016): 45–65. http://dx.doi.org/10.1016/j.aop.2016.02.012.

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30

Yamada, H., and N. Hayashi. "Solution of Landau-Lifshitz-Gilbert Equation by Newton's Method." Journal of the Magnetics Society of Japan 28, no. 3 (2004): 305–11. http://dx.doi.org/10.3379/jmsjmag.28.305.

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31

Bertotti, G., I. D. Mayergoyz, and C. Serpico. "Identification of the damping coefficient in Landau–Lifshitz equation." Physica B: Condensed Matter 306, no. 1-4 (2001): 102–5. http://dx.doi.org/10.1016/s0921-4526(01)00986-3.

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32

Serpico, C., I. D. Mayergoyz, G. Bertotti, M. d’Aquino, and R. Bonin. "Generalized Landau–Lifshitz–Gilbert equation for uniformly magnetized bodies." Physica B: Condensed Matter 403, no. 2-3 (2008): 282–85. http://dx.doi.org/10.1016/j.physb.2007.08.029.

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33

Baňas, Ľubomír, Zdzislaw Brzeźniak, and Andreas Prohl. "Computational Studies for the Stochastic Landau--Lifshitz--Gilbert Equation." SIAM Journal on Scientific Computing 35, no. 1 (2013): B62—B81. http://dx.doi.org/10.1137/110856666.

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34

Tutu, Hiroki, and Takehiko Horita. "Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field." Progress of Theoretical Physics 120, no. 2 (2008): 315–45. http://dx.doi.org/10.1143/ptp.120.315.

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35

Bertotti, G., I. D. Mayergoyz, and C. Serpico. "Analytical solutions of Landau–Lifshitz equation for precessional dynamics." Physica B: Condensed Matter 343, no. 1-4 (2004): 325–30. http://dx.doi.org/10.1016/j.physb.2003.08.064.

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36

Pang, P. Y. H., J. Xiao, and F. Zhou. "Landau-Lifshitz equation of ferromagnetism with external magnetic field." Journal of the Australian Mathematical Society 72, no. 3 (2002): 299–316. http://dx.doi.org/10.1017/s1446788700036740.

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AbstractIn this article, we prove the existence and uniqueness of solution for the Cauchy problem of the Landau-Lifshitz equation of ferromagnetism with external magnetic field. We also show that the solution is globally regular with the exception of at most finitely many blow-up points. An energy identity at blow-up points is presented.

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37

Pu, Xueke, and Boling Guo. "A note on vortex solutions of Landau-Lifshitz equation." Mathematical Methods in the Applied Sciences 33, no. 7 (2009): 874–79. http://dx.doi.org/10.1002/mma.1201.

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38

Goldenits, P., G. Hrkac, D. Praetorius, and D. Suess. "An Effective Integrator for the Landau-Lifshitz-Gilbert Equation." IFAC Proceedings Volumes 45, no. 2 (2012): 493–97. http://dx.doi.org/10.3182/20120215-3-at-3016.00086.

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39

Atxitia, U., D. Hinzke, and U. Nowak. "Fundamentals and applications of the Landau–Lifshitz–Bloch equation." Journal of Physics D: Applied Physics 50, no. 3 (2016): 033003. http://dx.doi.org/10.1088/1361-6463/50/3/033003.

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40

Chugreeva, Olga, and Christof Melcher. "Strong solvability of regularized stochastic Landau–Lifshitz–Gilbert equation." IMA Journal of Applied Mathematics 83, no. 2 (2018): 261–82. http://dx.doi.org/10.1093/imamat/hxx045.

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41

Serpico, C., I. D. Mayergoyz, and G. Bertotti. "Numerical technique for integration of the Landau–Lifshitz equation." Journal of Applied Physics 89, no. 11 (2001): 6991–93. http://dx.doi.org/10.1063/1.1358818.

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42

Álvarez, Luis Fernández, Oscar Pla, and Oksana Chubykalo. "Quasiperiodicity, bistability, and chaos in the Landau-Lifshitz equation." Physical Review B 61, no. 17 (2000): 11613–17. http://dx.doi.org/10.1103/physrevb.61.11613.

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43

Gladkov, S. O., and S. B. Bogdanova. "To the theory of the Landau-Lifshitz-Hilbert equation." Physics of the Solid State 57, no. 5 (2015): 929–32. http://dx.doi.org/10.1134/s1063783415050108.

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44

Serpico, C., I. D. Mayergoyz, and G. Bertotti. "Analytical solutions of Landau–Lifshitz equation for precessional switching." Journal of Applied Physics 93, no. 10 (2003): 6909–11. http://dx.doi.org/10.1063/1.1557278.

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45

You, Shujun, and Boling Guo. "Global well-posedness for high-order Landau–Lifshitz equation." Journal of Geometry and Physics 160 (February 2021): 103966. http://dx.doi.org/10.1016/j.geomphys.2020.103966.

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46

Baňas, L'ubomír, and Marián Slodička. "Error estimates for Landau–Lifshitz–Gilbert equation with magnetostriction." Applied Numerical Mathematics 56, no. 8 (2006): 1019–39. http://dx.doi.org/10.1016/j.apnum.2005.09.003.

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47

Baňas, L’ubomír. "Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction." Journal of Computational and Applied Mathematics 215, no. 2 (2008): 304–10. http://dx.doi.org/10.1016/j.cam.2006.03.043.

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48

Heller, Yu I., and D. A. Shapiro. "Landau-Lifshitz equation and a generalized two-level system." Physics Letters A 119, no. 1 (1986): 43–46. http://dx.doi.org/10.1016/0375-9601(86)90643-2.

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49

Neirameh, Ahmad. "Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation." Advances in Mathematical Physics 2021 (March 30, 2021): 1–7. http://dx.doi.org/10.1155/2021/5538516.

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In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients.

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50

STARYNKÉVITCH, JEAN. "LOCAL ENERGY ESTIMATES FOR THE MAXWELL–LANDAU–LIFSHITZ SYSTEM AND APPLICATIONS." Journal of Hyperbolic Differential Equations 02, no. 03 (2005): 565–94. http://dx.doi.org/10.1142/s0219891605000555.

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We study the Maxwell–Landau–Lifshitz system without exchange energy. First, we prove an [Formula: see text] estimate for the linear wave equation and apply this local energy estimate to obtain a bound on the curl of the electromagnetic field, uniformly in time and locally in space. Next, we prove strong convergence results, when the time t tends to ∞ or when the speed of light tends to ∞ (which corresponds to the quasi-stationary approximation). Finally, we establish a stability result with respect to the damping parameter of the Landau–Lifshitz equation.

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