This paper analyzes the impact of fiscal spending shocks in a multi-country model with international production networks. In contrast to standard results suggesting that production network linkages are unimportant for the aggregate response to macro shocks in a closed economy, we show that network structures may place a central role in the international propagation of fiscal shocks, particularly when wages are slow to adjust.
A general method to predict the steady-state regimes of a multi-degree-of-freedom unstable vibrating system (the primary system) coupled to several nonlinear energy sinks (NESs) is proposed. The method has three main steps. The first step consists in the diagonalization of the primary underline linear system using the so-called biorthogonal transformation.
Ce travail s’intéresse à la reconstruction des signaux parcimonieux par l’usage d’une nouvelle pénalité. Nous proposons une approximation lisse généralisée du rapport de normes ou quasi-normes lp/lq, émulant la mesure de parcimonie l0 . Une version de l’algorithme Forward-Backward à métrique variable localement ajustée sera proposée pour traiter ce problème de minimisation non-convexe.
We propose a new smoothed p-Over-q norm ratio for sparse signal reconstruction. A trust-region Variable Metric Forward-Backward is proposed to solve efficiently the resulting non-convex minimization problem. Numerical experiments in the context of mass spectrometry (MS) illustrate the benefits of the novel penalty.
We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded in a singular pressure and a singular bulk viscosity, we show that the global weak solutions converge (up to a sub-sequence) to global weak solutions of the two-phase compressible/incompressible Brinkman equations with respect to a parameter ε which measures effects close to the maximal packing value.
The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonlinear and multidimensional phenomena such as the existence of Best frequencies. Numerical results for the 1D×1D and 2D×2D Vlasov-Poisson system illustrate the effectiveness of this approach.
Let X be a Banach space, I an infinite set, τ an infinite cardinal and p ∈ [1, ∞). In contrast to a classical c 0 result due independently to Cembranos and Freniche, we prove that if the cofinality of τ is greater than the cardinality of I, then the injective tensor product p(I) ⊗ ε X contains a complemented copy of c 0 (τ) if and only if X does. This result is optimal for every regular cardinal τ.
This work presents a combined numerical and theoretical study of the effective behavior and statistics of the local fields in random viscoplastic composites. The full-field numerical simulations are based on the fast Fourier transform (FFT) algorithm [Moulinec, H., Suquet, P., 1994. A fast numerical method for computing the linear and nonlinear properties of composites. C. R. Acad. Sci.