en.wikipedia.org/wiki/Lev_Landau

A rank of 1 was awarded to the founding fathers of quantum mechanics, Niels
Bohr, Werner Heisenberg, Paul Dirac and Erwin Schrödinger, and others.
**Landau** ranked himself as a 2.5 but later promoted himself to a **2**. David Mermin,
writing about **Landau**, referred to the scale, and ranked himself in the fourth
division, in the ...

arxiv.org/pdf/0803.0599

A non-conventional finite element formalism is proposed to solve the dynamic
**Landau**-Lifshitz-**Gilbert** micromagnetic equations. ... functions φ by m×**w**, such as
m⋅**w**=0, without loss of generality. Taking into account these, a new weak form (
WF2 hereafter) is obtained from (3), again only for the exchange term: (. ) **2**. Ω 0.
ex.

arxiv.org/pdf/1101.1005

Jan 5, 2011 **...** **2**. Lakshmanan. **Landau** and Lifshitz (1935) introduced the basic dynamical
equation for magneti- zation or spin S( r, t) in bulk materials, where the effect of
relativistic interactions were also included as a damping term. In 1954, **Gilbert** (
2004) introduced a more convincing form for the damping term, based ...

academic.oup.com/amrx/article/2013/1/1/166689

-adapted Wiener process (**W**(t))t≥0. Let us observe that since we assume that
forumla the map G defined by. formula. (2.1). is well defined and, see for instance
[8], we have, at least on an informal level, the following equality relating the
Stratonovich and Itô differentials:.

academic.oup.com/amrx/article-pdf/2013/1/1/397027/abs009.pdf

Apr 19, 2012 **...** Weak Solutions of a Stochastic **Landau**–Lifshitz–**Gilbert**. Equation ... therein, and
further developed by **Landau** and Lifshitz [28] and **Gilbert** [18]. ..... For T ∈ (0, ∞),
there exists a weak martingale solution (Ω, F, (Ft)t∈[0,T], P, **W**, u) to Equation (1.7
) such that. (a) we have. E. ∫ T. 0. |(u× Δu)(t)|**2**. L2 dt < ∞.

www.ms.uky.edu/~cywang/rnm012.pdf

**2**. ∫. Ω |∇u|**2** for magnetic moment u : Ω ⊂ Rn → S2, the **Landau**-Lifshitz-**Gilbert**
equation for u : Ω × (0, +∞) → S2 is given by αut + βu ∧ ut = ∆u + |∇u|2u, .... + |**w**|
**2**. = 1} → S2 be the Hopf map. Let Φλ(x) = λx : R3 → R3 be the dilation map for λ
> 0, Π : S3 → R3 be the sterographic projection map from the north pole, and ...

www.researchgate.net/publication/265469172_Self-similar_solutions_of_the_one-dimensional_Landau-Lifshitz-Gilbert_equation

Sep 12, 2014 **...** Download full-text PDF. Self-similar solutions of the one-dimensional. **Landau**–
Lifshitz–**Gilbert** equation. Susana Gutiérrez1and André de Laire**2**. Abstract. **W**e
consider the one-dimensional **Landau**–Lifshitz–Gilbert (LLG) equation, a model
des-. cribing the dynamics for the spin in ferromagnetic materials.

discovery.ucl.ac.uk/1517573/2/Green_PhysRevA.94.062106.pdf

Dec 9, 2016 **...** a thermal bath that generalizes the dissipative model of **Landau**-Lifshitz-**Gilbert** to
the case of anisotropic bath ... **II**. ANISOTROPIC DISSIPATION OF FLUX QUBITS.
A superconducting flux qubit will couple to its environment in various ways. The
environmental degrees of ...... Garg, and **W**. Zwerger, Rev. Mod ...

link.springer.com/article/10.1007/s11425-017-9146-x

We prove that in dimensions three and higher the **Landau**-Lifshitz-**Gilbert**
equation with small initial data in the critical Besov space is globally well-posed
in a uniform way with respect to the **Gilbert** damping parameter. Then we show
that the global solution converges to that of the Schrödinger maps in the natural
space as ...