Displaying similar documents to “ High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*”

Transition de dépiégeage élastique de vortex supraconducteurs

Enrick Olive, Nicolas Di Scala, Yves Lansac, Yaouen Fily, Jean-Claude Soret (2012)

ESAIM: Proceedings

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We present 2D numerical simulation results of superconductor vortex lattices driven over a random disorder. The vortex dynamics at the depinning threshold is studied at zero temperature in the case of weak disorder. The dynamics is elastic and the depinning transition is analysed in the framework of a second order phase transition where the velocity response to the driving force behaves like  ~ ( −  ...

Substitution systems associated with the dynamical system (𝒜, )

Maria de Fátima Correia, Carlos Ramos, Sandra Vinagre (2012)

ESAIM: Proceedings

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We consider the dynamical system (𝒜, ), where 𝒜 is a class of differential real functions defined on some interval and : 𝒜 → 𝒜 is an operator := , where is a differentiable -modal map. If we consider functions in 𝒜 whose critical values are periodic points for then, we show how to define and characterize a substitution system associated with (𝒜, ...

Local semiconvexity of Kantorovich potentials on non-compact manifolds

Alessio Figalli, Nicola Gigli (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove that any Kantorovich potential for the cost function = /2 on a Riemannian manifold (, ) is locally semiconvex in the “region of interest”, without any compactness assumption on , nor any assumption on its curvature. Such a region of interest is of full -measure as soon as the starting measure does not charge – 1-dimensional rectifiable sets.

Regularity of languages defined by formal series with isolated cut point

Alberto Bertoni, Maria Paola Bianchi, Flavi D’Alessandro (2012)

RAIRO - Theoretical Informatics and Applications

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Let  = { ∈  | ()  } be the language recognized by a formal series :  → ℝ with isolated cut point . We provide new conditions that guarantee the regularity of the language in the case that is rational or is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.

Regularity of languages defined by formal series with isolated cut point

Alberto Bertoni, Maria Paola Bianchi, Flavi D’Alessandro (2012)

RAIRO - Theoretical Informatics and Applications

Similarity:

Let  = { ∈  | ()  } be the language recognized by a formal series :  → ℝ with isolated cut point . We provide new conditions that guarantee the regularity of the language in the case that is rational or is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.

Square-root rule of two-dimensional bandwidth problem

Lan Lin, Yixun Lin (2012)

RAIRO - Theoretical Informatics and Applications

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The bandwidth minimization problem is of significance in network communication and related areas. Let be a graph of vertices. The two-dimensional bandwidth () of is the minimum value of the maximum distance between adjacent vertices when is embedded into an  ×  grid in the plane. As a discrete optimization problem, determining () is NP-hard in general. However, exact results for this parameter can be derived for some special classes of graphs. This...

Pointwise constrained radially increasing minimizers in the quasi-scalar calculus of variations

Luís Balsa Bicho, António Ornelas (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove of vector minimizers () =  (||) to multiple integrals ∫ ((), |()|)  on a  ⊂ ℝ, among the Sobolev functions (·) in + (, ℝ), using a  : ℝ×ℝ → [0,∞] with (·) and . Besides such basic hypotheses, (·,·) is assumed to satisfy also...