• Corpus ID: 119333614

Local strong solution to General Landau-Lifshitz-Bloch equation

@article{Jia2018LocalSS,
  title={Local strong solution to General Landau-Lifshitz-Bloch equation},
  author={Zonglin Jia},
  journal={arXiv: Differential Geometry},
  year={2018}
}
  • Zonglin Jia
  • Published 1 February 2018
  • Mathematics
  • arXiv: Differential Geometry
In this paper, we bring in General Landau-Lifshitz-Bloch equation and prove that it admits a local strong solution. 
1 Citations
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References

SHOWING 1-5 OF 5 REFERENCES
Weak solutions of the Landau--Lifshitz--Bloch equation
The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for
Regular solutions for Landau-Lifschitz equation in a bounded domain
Domain. Gilles Carbou, Pierre Fabrie Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence cedex, France. Abstract : in this paper we prove local
Nonlinear elliptic equations on Carnot groups
This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the