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EQUATION DE LANDAU-LIFSHITZ-GILBERT

The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions

The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions

... Schrödinger equation ob- tained via the stereographic projection and techniques introduced by Koch and ...phrases: LandauLifshitzGilbert equation, global well-posedness, discontin- ...

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Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation

Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation

... , for (x, t) ∈ R N × (−∞, T ), (1.2) for some profile f : R N −→ S 2 . In this manner, expanders evolve from a singular value at time T , while shrinkers evolve towards a singular value at time T . Self-similar solutions ...

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Innovative Weak Formulation for The Landau-Lifshitz-Gilbert Equations

Innovative Weak Formulation for The Landau-Lifshitz-Gilbert Equations

... From a mathematical point of view, the local form (1) with the constraint (2) and the boundary conditions constitute the so-called “strong form” of the problem to solve. An option for solving numerically this kind of ...

5

Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework

Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework

... of Landau-Lifshitz-Bloch (LLB) equations that describe the flow toward equilibrium of the first and second moments of the ...stochastic Landau-Lifshitz-Gilbert equation, under ...

9

About positive, energy conservative and equilibrium state preserving schemes for the isotropic Fokker-Planck-Landau equation

About positive, energy conservative and equilibrium state preserving schemes for the isotropic Fokker-Planck-Landau equation

... In this section we propose a new derivation of this method which intrinsically contains the conservation of the energy. We recall also the scheme developed by Langdon et al. [15, 24], but in the case where potentials are ...

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Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case

Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case

... For our purpose, we consider CGL independently from any particular physical context and investigate it as a mathematical model in partial differential equations with p > 1. We note also that the interest on the study ...

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Positive, conservative, equilibrium state preserving and implicit difference schemes for the isotropic Fokker-Planck-Landau equation

Positive, conservative, equilibrium state preserving and implicit difference schemes for the isotropic Fokker-Planck-Landau equation

... Time discretization is also a crucial point in the numerical simulation of the Fokker-Planck- Landau equation. Implicit schemes are attractive: they make the code robust and able to use large time steps ...

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Yves Bonnefoy, Gilbert Gadoffre : une amitié

Yves Bonnefoy, Gilbert Gadoffre : une amitié

... dimension de la beauté de la « vie ordinaire » est essentielle chez Yves Bonnefoy comme elle le fut chez Gilbert Gadoffre. Ceux qui ont connu ce dernier se rappelleront l’attention qu’il portait à l’autre : à ses ...

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Estimates for the large time behavior of the Landau equation in the Coulomb case

Estimates for the large time behavior of the Landau equation in the Coulomb case

... The aim of this work is to study the large time behaviour of solutions to the spatially ho- mogeneous Landau equation in the Coulomb case. Our proof is based on an entropy-entropy dissipation method. This ...

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An analytic Lifshitz black hole

An analytic Lifshitz black hole

... the Lifshitz space- time can be embedded into the same type IIB truncations as the Schro¨dinger spacetime (see [ 20 , 21 ] and especially [ 22 ...scalar equation of motion is not sat- isfied by the ...

9

About the use of entropy production for the Landau-Fermi-Dirac equation

About the use of entropy production for the Landau-Fermi-Dirac equation

... to Landau-Fermi-Dirac equation is that kgk ∞ is independent of ε (in the large time), so that we can take ε sufficiently small for the coefficient in the theorem to be ...

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An entropic scheme for an angular moment model for the classical Fokker-Planck-Landau equation of electrons

An entropic scheme for an angular moment model for the classical Fokker-Planck-Landau equation of electrons

...  ∂ t f 0 + ζ∂ x f 1 = Q 0 ( f 0 ) , ∂ t f 1 + ζ∂ x f 2 = − κ f 1 , (1.1) where κ ∈ R + and ζ is the microscopic energy variable. Here Q 0 ( f 0 ) represents an ap- proximation for the electron-electron collision ...

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FROM A KAC-LIKE PARTICLE SYSTEM TO THE LANDAU EQUATION FOR HARD POTENTIALS AND MAXWELL MOLECULES

FROM A KAC-LIKE PARTICLE SYSTEM TO THE LANDAU EQUATION FOR HARD POTENTIALS AND MAXWELL MOLECULES

... Boltzmann equation was proposed by Kac [21] as a step to its rigorous ...Boltzmann equation without cutoff: indeed, it may be relevant to replace grazing collisions by a diffusive Landau-like ...

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La ballade de Gilbert ; suivi de Le quotidien dans Molloy de Samuel Beckett

La ballade de Gilbert ; suivi de Le quotidien dans Molloy de Samuel Beckett

... de Gilbert, la vie routinière du narrateur et protagoniste, qui peut être décrite comme une sclérose du quotidien, sans confrontation avec l’étrangeté, est bouleversée à cause d’une sortie au centre-ville qui lui ...

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Construction of a blow-up solution for the Complex Ginzburg-Landau equation in a critical case, β≠0

Construction of a blow-up solution for the Complex Ginzburg-Landau equation in a critical case, β≠0

... Remark 1.6 In this paper we will treat the case β 6= 0, which is far from being a simple adaptation of the case β = 0, treated in [NZ18]. Indeed, the techniques are different. There is an additional difficulty arising ...

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"Gilbert Romme et la communauté scientifique pétersbourgeoise (1779-1786)"

"Gilbert Romme et la communauté scientifique pétersbourgeoise (1779-1786)"

... 9 782845 164284 ISBN 978-2-84516-428-4 / PRIx 30 € e volume s’inscrit en parallèle à la Correspondance de Gilbert Romme, dont la publication a commencé, dans la même collection, en 2006, pour la période 1774-1779 ...

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Théorèmes asymptotiques pour les équations de Boltzmann et de Landau

Théorèmes asymptotiques pour les équations de Boltzmann et de Landau

... the Landau equation converges to the equilibrium in polynomial time, and from the spectral gap estimate for the linearized operator ...nonlinear Landau equation is constructed in L 1 -spaces ...

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Témoignages et littérature Entretien entre Alexandre Gilbert et François Rastier

Témoignages et littérature Entretien entre Alexandre Gilbert et François Rastier

... Ici, le projet artistique et la préoccupation éthique se rencontrent, car la complaisance littéraire n’est pas sans dangers : « Il existe une limite au-delà de laquelle on s’expose à de[r] ...

10

Rapport sur quelques propriétés des surfaces apsidales ou conjuguées par M. Ph. Gilbert

Rapport sur quelques propriétés des surfaces apsidales ou conjuguées par M. Ph. Gilbert

... ser.2:t.28 (1869): http://www.biodiversitylibrary.org/item/28480 Article/Chapter Title: Rapport sur quelques propriétés des surfaces apsidales ou conjuguées par M. Gilbert[r] ...

6

On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres

On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres

... in crystals [35, 38] (see also [25, 27] for s 6= 1/2), and to thin-film micromagnetics [46, 47]. The conver- gence as ε → 0 of minimizers of the fractional Ginzburg-Landau s-energy has been treated very recently ...

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