Ginzburg-Landau energy
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
... the energy space [49], and this lack of compactness is formally transferred to the local Ginzburg-Landau equation in the asymptotic ε → ...local Ginzburg-Landau energy towards ...
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Analyse de quelques problèmes liés à l'équation de Ginzburg-Landau
... the Ginzburg- Landau energy E w ε with the weight ...renormalized energy and deduce that the configuration of singularities is a minimum point of this ...
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A Ginzburg-Landau model with topologically induced free discontinuities
... classical Ginzburg-Landau energy Eε(·, Br(x)) with respect to its own boundary condition (and as a consequence, w ε is ...the energy splitting discovered by Lassoued & Mironescu ...the ...
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On the Ginzburg–Landau Functional in the Surface Superconductivity Regime
... two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical ...new energy lower bounds, proving that the ...
44
Analysis of singularities in elliptic equations : the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and conformal geometry
... Jerrard, Montero, and Sternberg [JMS04] established the existence of locally minimiz- ing vortex solutions to the full Ginzburg-Landau energy in 3D, by using a construction in the spirit of [MSZ04]. ...
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Boundary problems for the Ginzburg-Landau equation.
... the energy. Note that this lemma is stated with the energy E ε and not the usual Ginzburg-Landau energy used in [JS] (corresponding to d ≡ 0), but these two energies are close with our ...
47
LIMITING MOTION FOR THE PARABOLIC GINZBURG-LANDAU EQUATION WITH INFINITE ENERGY DATA
... of Ginzburg-Landau ...of Ginzburg-Landau systems, ...the Ginzburg-Landau ...of Ginzburg-Landau ...Complex Ginzburg-Landau equations and dynamics of ...
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Recent results for the Landau-Lifshitz equation
... Therefore u c,α is very rough at initial time and the standard arguments (e.g. a Picard iteration scheme based on Strichartz estimates and Sobolev–Bourgain spaces) cannot be applied, at least not straightforwardly, to ...
44
On the cubic lowest Landau level equation
... The equation (CR) can also be derived from the nonlinear Schr¨ odinger equation on the torus [12] or in the presence of a magnetic potential [13]. 1.3. Comparison with similar equations. The formulation (LLL) of the ...
44
Landau damping and inhomogeneous reference states
... and Landau damping have been an active subject of re- search since 70 years, and have been encountered at some point in their career by most ...of Landau damping close to a stationary state of the Vlasov ...
11
Stabilité des solitons et des multi-solitons pour l'équation de Landau-Lifschitz
... Cette stratégie a été adaptée par Béthuel, Gravejat et Smets pour l’équation de Gross-Pitaevskii [6]. Ils se sont placés dans le cadre hydrodynamique pour pouvoir l’appliquer. Ils utilisent le moment qui est une quantité ...
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Singularités dans le modèle de Landau-de Gennes pour les cristaux liquides
... Au-delà du problème d’orientabilité, les modèles d’Oseen-Frank et d’Ericksen reposent sur une hypo- thèse qui n’est pas complètement justifiée du point de vue physique : ils postulent qu’en chaque point de l’espace une ...
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Théorèmes asymptotiques pour les équations de Boltzmann et de Landau
... unidimensionelle (modèle de Kac). Cette aproche peut être utilisée pour d’autres équations cinétiques, comme par exemple pour l’équation de Landau homogène qui est etudié dans le Chapitre 3. Pour étudier ce ...
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Écrire au bord de la guerre : Natalia Ginzburg, Marguerite Duras, Régine Robin
... Dans La Douleur, l’Histoire est signifiée par le corps, non seulement celui de Marguerite qui attend dans la peur et dans la douleur, mais aussi le corps de Robert qui revient à la vie e[r] ...
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Singularités dans le modèle de Landau-de Gennes pour les cristaux liquides
... The Landau-de Gennes theory [38] allows for a rather complete description of the local behaviour of the medium, because it accounts for biaxial 1 configurations as ...the Landau-de Gennes theory so rich is ...
219
Landau damping in dynamical Lorentz gases
... kinetic energy with the vibrations of the ...particle’s energy is evacuated in the membranes, and, depending on the shape of the external potential x 7→ V (x), they determine the large time behavior of the ...
134
Four-Wave Mixing in Landau-Quantized Graphene
... For Landau-quantized graphene, featuring an en- ergy spectrum consisting of a series of nonequidis- tant Landau levels, theory predicts a giant resonantly-enhanced optical ...the Landau lev- els LL ...
8
Hypoelliptic and spectral estimates for the linearized Landau operator
... linearized Landau operator has indeed a pseudospectrum of cuspidal form, which is a good clue for thinking that this is a very general property of general linear or linearized kinetic ...
49
Composite Fermi liquids in the lowest Landau level
... III. QUANTUM VORTEX LIQUID THEORY OF COMPRESSIBLE QUANTUM HALL STATES Microscopically the problem of describing states in the LLL should be formulated as follows. First specifiy the Hilbert space of many particle states ...
15
Quelques problèmes liés à la dynamique des équations de Gross-Pitaevskii et de Landau-Lifshitz
... de Landau affirme que la courbe de dispersion doit présenter un minimum local non nul appelé roton (voir [71, 37]), ce phénomène a été corroboré plus tard par des observations expérimentales ...
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