GLOBAL SMOOTH SOLUTION FOR THE COMPRESSIBLE LANDAU-LIFSHITZ-BLOCH EQUATION

Boling Guo; Fangfang Li

doi:10.11948/20190173

2019 Volume 9 Issue 6

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Boling Guo, Fangfang Li. GLOBAL SMOOTH SOLUTION FOR THE COMPRESSIBLE LANDAU-LIFSHITZ-BLOCH EQUATION[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2454-2463. doi: 10.11948/20190173

Citation:

Boling Guo, Fangfang Li. GLOBAL SMOOTH SOLUTION FOR THE COMPRESSIBLE LANDAU-LIFSHITZ-BLOCH EQUATION[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2454-2463. doi: 10.11948/20190173

GLOBAL SMOOTH SOLUTION FOR THE COMPRESSIBLE LANDAU-LIFSHITZ-BLOCH EQUATION

Boling Guo¹,
Fangfang Li^2, ,

1.
Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China
2.
Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

Corresponding author: Email address: lifang_868@126.com(F. Li)
Fund Project: The authors were supported by National Natural Science Foundation of China (Grant No. 11801067)

Abstract

Abstract

The Landau-Lifshitz-Bloch equation is often used to describe micromagnetic phenomenon under high temperature. In this paper, we establish the existence and uniqueness of global smooth solution for the initial problem of the compressible Landau-Lifshitz-Bloch equation in dimension one.
- Landau-Lifshitz-Bloch equation /
- compressible model /
- global solution
MSC: 35K15, 35Q60, 82D40

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References

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